]>
2017
17
2
150
Asymptotic behavior of third-order neutral differential equations with distributed deviating arguments
Asymptotic behavior of third-order neutral differential equations with distributed deviating arguments
en
en
We consider the asymptotic behavior of solutions to a class of third-order neutral differential equations with distributed
deviating arguments. Our criteria extend the related results reported in the literature. An illustrative example is included.
194
199
Haixia
Wang
Guojuan
Chen
Ying
Jiang
Cuimei
Jiang
Tongxing
Li
Asymptotic behavior
neutral differential equation
third-order
distributed deviating argument
oscillation.
Article.1.pdf
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[1]
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R. P. Agarwal, M. Bohner, T.-X. Li, C.-H. Zhang, Oscillation of third-order nonlinear delay differential equations, Taiwanese J. Math., 17 (2013), 545-558
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R. P. Agarwal, M. Bohner, T.-X. Li, C.-H. Zhang, A Philos-type theorem for third-order nonlinear retarded dynamic equations, Appl. Math. Comput., 249 (2014), 527-531
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T. Candan, Oscillation criteria and asymptotic properties of solutions of third-order nonlinear neutral differential equations, Math. Methods Appl. Sci., 38 (2015), 1379-1392
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Z. Došlá, P. Liška, Oscillation of third-order nonlinear neutral differential equations, Appl. Math. Lett., 56 (2016), 42-48
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Y.-L. Fu, Y.-Z. Tian, C.-M. Jiang, T.-X. Li, On the asymptotic properties of nonlinear third-order neutral delay differential equations with distributed deviating arguments, J. Funct. Spaces, 2016 (2016), 1-5
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J. K. Hale, Theory of functional differential equations, Second edition, Applied Mathematical Sciences, Springer- Verlag, New York-Heidelberg (1977)
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C.-M. Jiang, Y. Jiang, T.-X. Li, Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and distributed deviating arguments, Adv. Difference Equ., 2016 (2016 ), 1-14
##[14]
Y. Jiang, C.-M. Jiang, T.-X. Li, Oscillatory behavior of third-order nonlinear neutral delay differential equations, Adv. Difference Equ., 2016 (2016 ), 1-12
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Y. Jiang, T.-X. Li, Asymptotic behavior of a third-order nonlinear neutral delay differential equation, J. Inequal. Appl., 2014 (2014 ), 1-7
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T.-X. Li, Y. V. Rogovchenko, Asymptotic behavior of an odd-order delay differential equation, Bound. Value Probl., 2014 (2014 ), 1-10
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T.-X. Li, Y. V. Rogovchenko, Asymptotic behavior of higher-order quasilinear neutral differential equations, Abstr. Appl. Anal., 2014 (2014 ), 1-11
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T.-X. Li, C.-H. Zhang, Properties of third-order half-linear dynamic equations with an unbounded neutral coefficient, Adv. Difference Equ., 2013 (2013 ), 1-8
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T.-X. Li, C.-H. Zhang, G.-J. Xing, Oscillation of third-order neutral delay differential equations, Abstr. Appl. Anal., 2012 (2012 ), 1-11
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M. T. Şenel, N. Utku, Oscillation behavior of third-order nonlinear neutral dynamic equations on time scales with distributed deviating arguments, Filomat , 28 (2014), 1211-1223
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M. T. Şenel, N. Utku, Oscillation criteria for third-order neutral dynamic equations with continuously distributed delay, Adv. Difference Equ., 2014 (2014 ), 1-15
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Y.-Z. Tian, Y.-L. Cai, Y.-L. Fu, T.-X. Li, Oscillation and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments, Adv. Difference Equ., 2015 (2015 ), 1-14
]
Applications of fixed point results for cyclic Boyd-Wong type generalized \(F-\psi\)-contractions to dynamic programming
Applications of fixed point results for cyclic Boyd-Wong type generalized \(F-\psi\)-contractions to dynamic programming
en
en
Recently, Piri et al. [H. Piri, P. Kumam, Fixed Point Theory Appl., 2014 (2014), 11 pages] refined the result of Wardowski
[D. Wardowski, Fixed Point Theory Appl., 2012 (2012), 6 pages] by launching some weaker conditions on the self-map regarding
a complete metric space and over the mapping F. In the article, we inaugurate Boyd-Wong type generalized F-\(\psi\)-contraction
and prove some new fixed point results in partial metric spaces, also we deduce fixed point results involving cyclic Boyd-
Wong type generalized F-\(\psi\)-contraction in the same setup. These results substantially generalize and improve the corresponding
theorems contained in Wardowski ([D. Wardowski, Fixed Point Theory Appl., 2012 (2012), 6 pages] [D. Wardowski, N. Van
Dung, Demonstr. Math., 47 (2014), 146–155]), Matthews [S. G. Matthews, Papers on general topology and applications, Flushing,
NY, (1992), 183–197, Ann. New York Acad. Sci., New York Acad. Sci., New York, 728 (1994)], and others. The paper includes
two applications and some illustrative examples to highlight the realized improvements.
200
215
Deepak
Singh
Varsha
Chauhan
Poom
Kumam
Vishal
Joshi
Phatiphat
Thounthong
Fixed point
partial metric spaces
F-contraction
dynamic programming.
Article.2.pdf
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[1]
M. Abbas, T. Nazir, S. Romaguera, Fixed point results for generalized cyclic contraction mappings in partial metric spaces, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM, 106 (2012), 287-297
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M. Akram, W. Shamaila, A coincident point and common fixed point theorem for weakly compatible mappings in partial metric spaces, J. Nonlinear Sci. Appl., 8 (2015), 184-192
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I. Altun, F. Sola, H. Simsek, Generalized contractions on partial metric spaces, Topology Appl., 157 (2010), 2778-2785
##[4]
H. Aydi, E. Karapınar, A fixed point result for Boyd-Wong cyclic contractions in partial metric spaces, Int. J. Math. Math. Sci., 2012 (2012 ), 1-11
##[5]
D. W. Boyd , J. S. W. Wong, On nonlinear contractions, Proc. Amer. Math. Soc., 20 (1969), 458-464
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X.-J. Huang, Y.-Y. Li, C.-X. Zhu, Multivalued f-weakly Picard mappings on partial metric spaces, J. Nonlinear Sci. Appl., 8 (2015), 1234-1244
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A. Hussain, M. Arshad, S. U. Khan, \(\tau\)-Generalization of Fixed Point Results for F-Contractions, Bangmod Int. J. Math. & Comp. Sci., 1 (2015), 136-146
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W. A. Kirk, P. S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003), 79-89
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S. G. Matthews, Partial metric topology, Papers on general topology and applications, Flushing, NY, (1992), 183–197, Ann. New York Acad. Sci., New York Acad. Sci., New York, 728 (1994)
##[10]
G. Mınak, A. Helvacı, I. Altun, Ćirić type generalized F-contractions on complete metric spaces and fixed point results, Filomat, 28 (2014), 1143-1151
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A. Nastasi, P. Vetro, Fixed point results on metric and partial metric spaces via simulation functions, J. Nonlinear Sci. Appl., 8 (2015), 1059-1069
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S. Oltra, O. Valero, Banach’s fixed point theorem for partial metric spaces, Rend. Istit. Mat. Univ. Trieste, 36 (2004), 17-26
##[13]
D. Paesano, P. Vetro, Suzuki’s type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 (2012), 911-920
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H. Piri, P. Kumam, Some fixed point theorems concerning F-contraction in complete metric spaces, Fixed Point Theory Appl., 2014 (2014 ), 1-11
##[15]
S. Romaguera, A Kirk type characterization of completeness for partial metric spaces, Fixed Point Theory Appl., 2010 (2010 ), 1-6
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S. Romaguera, Fixed point theorems for generalized contractions on partial metric spaces, Topology Appl., 159 (2012), 194-199
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N.-A. Secelean, Iterated function systems consisting of F-contractions, Fixed Point Theory Appl., 2013 (2013 ), 1-13
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M. Sgroi, C. Vetro, Multi-valued F-contractions and the solution of certain functional and integral equations, Filomat, 27 (2013), 1259-1268
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S. Shukla, S. Radenović, Some common fixed point theorems for F-contraction type mappings on 0-complete partial metric spaces, J. Math., 2013 (2013 ), 1-7
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O. Valero, On Banach fixed point theorems for partial metric spaces, Appl. Gen. Topol., 6 (2005), 229-240
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D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012 (2012), 1-6
##[22]
D. Wardowski, N. Van Dung, Fixed points of F-weak contractions on complete metric spaces, Demonstr. Math., 47 (2014), 146-155
]
A sufficient condition for coinciding the Green graphs of semigroups
A sufficient condition for coinciding the Green graphs of semigroups
en
en
A necessary condition for coinciding the Green graphs \(\Gamma_{\textit{L}}(S), \Gamma_{\Re}(S), \Gamma_{\jmath}(S), \Gamma_{D}(S)\) and \(\Gamma_{H}(S)\) of a finite semigroup S has been
studied by Gharibkhajeh [A. Gharibkhajeh, H. Dosstie, Bull. Iranian Math. Soc., 40 (2014), 413–421]. Gharibkhajeh et al. proved
that the coinciding of Green graphs of a finite semigroup S implies the regularity of S. However, the converse is not true because
of certain well-known examples of finite regular semigroups. We look for a sufficient condition on non-group semigroups that
implies the coinciding of the Green graphs. Indeed, in this paper we prove that for every non-group quasi-commutative finite
semigroup, all of the Green graphs are isomorphic.
216
219
Mohammad Reza
Sorouhesh
Hossein
Doostie
Colin M.
Campbell
Quasi-commutativity
finitely presented semigroups
Green relations
Green graphs.
Article.3.pdf
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[1]
E. Adan-Bante, Conjugacy classes and finite p-groups, Arch. Math. (Basel), 85 (2005), 297-303
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M. R. Sorouhesh, H. Dosstie, Quasi-commutative semigroups of finite order related to Hamiltonian groups, Bull. Korean Math. Soc., 52 (2015), 239-246
]
Duality and biorthogonality for g-frames in Hilbert spaces
Duality and biorthogonality for g-frames in Hilbert spaces
en
en
The main aim of this paper is to define the generalized Riesz-dual sequence from a g-Bessel sequence with respect to a
pair of g-orthonormal bases. We characterize exactly properties of the first sequence in terms of the associated one, which yields
duality relations for the abstract g-frame setting.
220
234
Farideh
Enayati
Mohammad Sadegh
Asgari
g-orthonormal basis
g-frames
g-Riesz-dual sequence
Riesz-duality.
Article.4.pdf
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M. S. Asgari, Operator-valued bases on Hilbert spaces, J. Linear Topol. Algebr., 2 (2013), 201-218
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M. S. Asgari, H. R. Rahimi, Generalized frames for operators in Hilbert spaces, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 17 (2014), 1-20
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P. G. Casazza, G. Kutyniok, Frames of subspaces, Wavelets, frames and operator theory, Contemp. Math., Amer. Math. Soc., Providence, RI, 345 (2004), 87-113
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P. G. Casazza, G. Kutyniok, M. C. Lammers, Duality principles in frame theory, J. Fourier Anal. Appl., 10 (2004), 383-408
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O. Christensen, An introduction to frames and Riesz bases, Second edition, Applied and Numerical Harmonic Analysis, Birkhäuser/Springer, [Cham], (2016)
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O. Christensen, H. O. Kim, R. Y. Kim, On the duality principle by Casazza, Kutyniok, and Lammers, J. Fourier Anal. Appl., 17 (2011), 640-655
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O. Christensen, X. C. Xiao, Y. C. Zhu, Characterizing R-duality in Banach spaces, Acta Math. Sin. (Engl. Ser.), 29 (2013), 75-84
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I. Daubechies, A. Grossmann, Y. Meyer, Painless nonorthogonal expansions, J. Math. Phys., 27 (1986), 1271-1283
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R. J. Duffin, A. C. Schaeffer, A class of nonharmonic Fourier series, Trans. Amer. Math. Soc., 72 (1952), 341-366
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X.-X. Guo, g-bases in Hilbert spaces, Abstr. Appl. Anal., 2012 (2012 ), 1-14
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X.-X. Guo, Operator parameterizations of g-frames, Taiwanese J. Math., 18 (2014), 313-328
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A. Najati, A. Rahimi, Generalized frames in Hilbert spaces, Bull. Iranian Math. Soc., 35 (2009), 97-109
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A. Ron, Z.-W. Shen, Weyl-Heisenberg frames and Riesz bases in \(L_2({R^d})\), Duke Math. J., 89 (1997), 237-282
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D. T. Stoeva, O. Christensen, On R-duals and the duality principle in Gabor analysis, J. Fourier Anal. Appl., 21 (2015), 383-400
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W.-C. Sun, G-frames and g-Riesz bases, J. Math. Anal. Appl., 322 (2006), 437-452
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W.-C. Sun, Stability of g-frames, J. Math. Anal. Appl., 326 (2007), 858-868
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X. M. Xian, Y. C. Zhu, Duality principles of frames in Banach spaces, (Chinese) Acta Math. Sci. Ser. A Chin. Ed., 29 (2009), 94-102
]
Heat transfer and nanofluids flow through the circular concentric heat pipes: a comparative study using least square method (LSM)
Heat transfer and nanofluids flow through the circular concentric heat pipes: a comparative study using least square method (LSM)
en
en
In this paper, hydro-thermally performance of a circular concentric heat pipe is evaluated using the analytical least square
method (LSM) and the accuracy of results is examined by fourth order Runge-kutta numerical method. In described problem,
the pipe walls are permitted to carry different and opposite slip velocities of nanouids and they are either preserved at constant
heat flux of outer wall with the inner wall insulated or vice versa. For this study, five distinct types of nanoparticles: \(Ag, Cu,
Cuo, Al_2O_3\) and \(TiO_2\) are considered in the water base fluid and the results of velocity profiles and Nusselt numbers in different
slip conditions were presented and discussed. As a main result, by decreasing the distance between the pipes, more heat will
transfer to nanofluids from the wall under the heat flux, so it makes larger Nusselt number.
235
245
M.
Hatami
S.
Mosayebidorcheh
J.
Geng
D.
Jing
Heat pipe
nanofluid
Nusselt number
LSM.
Article.5.pdf
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[1]
A. R. Ahmadi, A. Zahmatkesh, M. Hatami, D. D. Ganji, A comprehensive analysis of the flow and heat transfer for a nanofluid over an unsteady stretching flat plate, Powder Technol., 258 (2014), 125-133
##[2]
N. S. Akbar, M. Raza, R. Ellahi, Copper oxide nanoparticles analysis with water as base fluid for peristaltic flow in permeable tube with heat transfer, Compu. Methods Programs Biomed., 130 (2016), 22-30
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M. Akbarzadeh, S. Rashidi, M. Bovand, R. Ellahi, A sensitivity analysis on thermal and pumping power for the flow of nanofluid inside a wavy channel, J. Mol. Liq., 220 (2016), 1-13
##[4]
M. M. Bhatti, T. Abbas, M. M. Rashidi, Effects of thermal radiation and electromagnetohydrodynamic on viscous nanofluid through a riga plate, Multidiscip. Model. Mater. Struct., 12 (2016), 605-618
##[5]
M. M. Bhatti, T. Abbas, M. M. Rashidi, M. E. S. Ali, Numerical simulation of entropy generation with thermal radiation on MHD Carreau nanofluid towards a shrinking sheet, Entropy, 18 (2016), 1-14
##[6]
M. M. Bhatti, M. M. Rashidi, Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet, J. Mol. Liq., 221 (2016), 567-573
##[7]
M. Bovand, S. Rashidi, G. Ahmadi, J. A. Esfahani, Effects of trap and reflect particle boundary conditions on particle transport and convective heat transfer for duct flow-A two-way coupling of Eulerian-Lagrangian model , Appl. Therm. Eng., 108 (2016), 368-377
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A. S. Dogonchi, M. Hatami, G. Domairry, Motion analysis of a spherical solid particle in plane Couette Newtonian fluid flow, Powder Technol., 274 (2015), 186-192
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G. Domairry, A. Aziz, Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method, Math. Probl. Eng., 2009 (2009 ), 1-19
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G. Domairry, M. Hatami, Squeezing Cu–water nanofluid flow analysis between parallel plates by DTM-Padé Method, J. Mol. Liq., 193 (2014), 37-44
##[11]
R. Ellahi, M. Hassan, A. Zeeshan, Shape effects of nanosize particles in \(Cu–H_2O\) nanofluid on entropy generation, Int. J. Heat Mass Transf., 81 (2015), 449-456
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R. Ellahi, M. Hassan, A. Zeeshan, Aggregation effects on water base nano fluid over permeable wedge in mixed convection, Asia Pac. J. Chem. Eng., 11 (2016), 179-186
##[13]
M. Fakour, A. Vahabzadeh, D. D. Ganji, M. Hatami, Analytical study of micropolar fluid flow and heat transfer in a channel with permeable walls, J. Mol. Liq. , 204 (2015), 198-204
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S.-Q. Gao, H.-Y. Duan, Negative norm least-squares methods for the incompressible magnetohydrodynamic equations, Acta Math. Sci. Ser. B Engl. Ed., 28 (2008), 675-684
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S. E. Ghasemi, M. Hatami, G. R. M. Ahangar, D. D. Ganji, Electrohydrodynamic flow analysis in a circular cylindrical conduit using least square method , J. Electrostat., 72 (2014), 47-52
##[16]
S. E. Ghasemi, M. Hatami, D. D. Ganji, Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation, Case Stud. Therm. Eng., 4 (2014), 1-8
##[17]
S. E. Ghasemi, M. Hatami, A. K. Sarokolaie, D. D. Ganji, Study on blood flow containing nanoparticles through porous arteries in presence of magnetic field using analytical methods, Phys. E Low Dimens. Syst. Nanostruct., 70 (2015), 146-156
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S. E. Ghasemi, P. Valipour, M. Hatami, D. D. Ganji, Heat transfer study on solid and porous convective fins with temperature-dependent heat generation using efficient analytical method, J. Cent. South Univ., 21 (2014), 4592-4598
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S. Göktepe, K. Atalık, H. Ertürk, Comparison of single and two-phase models for nanofluid convection at the entrance of a uniformly heated tubee, Int. J. Thermal Sci., 80 (2014), 83–92. , Int. J. Thermal Sci., 80 (2014), 83-92
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M. Haghshenas Fard, M. Nasr Esfahany, M. R. Talaie, Numerical study of convective heat transfer of nanofluids in a circular tube two-phase model versus single-phase model, Int. Commun. Heat Mass Transf., 37 (2010), 91-97
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M. Hatami, G. R. M. Ahangar, D. D. Ganji, K. Boubaker, Refrigeration efficiency analysis for fully wet semi-spherical porous fins, Energy Convers. Manage., 84 (2014), 533-540
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M. Hatami, G. Domairry, Transient vertically motion of a soluble particle in a Newtonian fluid media, Powder Technol., 253 (2014), 481-485
##[23]
M. Hatami, D. D. Ganji, Investigation of refrigeration efficiency for fully wet circular porous fins with variable sections by combined heat and mass transfer analysis, Int. J. Refrig., 40 (2014), 140-151
##[24]
M. Hatami, D. D. Ganji, Motion of a spherical particle in a fluid forced vortex by DQM and DTM, Particuology, 16 (2014), 206-212
##[25]
M. Hatami, D. D. Ganji, Motion of a spherical particle on a rotating parabola using Lagrangian and high accuracy multistep differential transformation method, Powder Technol., 258 (2014), 94-98
##[26]
M. Hatami, D. D. Ganji, Natural convection of sodium alginate (SA) non-Newtonian nanofluid flow between two vertical flat plates by analytical and numerical methods, Case Stud. Therm. Eng., 2 (2014), 14-22
##[27]
M. Hatami, D. D. Ganji, Thermal behavior of longitudinal convectiveradiative porous fins with different section shapes and ceramic materials (\(SiC\) and \(Si_3N_4\)), Ceram. Int., 40 (2014), 6765-6775
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M. Hatami, H. Safari, Effect of inside heated cylinder on the natural convection heat transfer of nanofluids in a wavy-wall enclosure, Int. J. Heat Mass Transf., 103 (2016), 1053-1057
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T. Hayat, M. Imtiaz, A. Alsaedi, M. A. Kutbi, MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation, J. Magn. Magn. Mater., 396 (2015), 31-37
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J. A. Khan, M. Mustafa, T. Hayat, A. Alsaedi, Three-dimensional flow of nanofluid over a non-linearly stretching sheet: an application to solar energy, Int. J. Heat. Mass. Transf., 86 (2015), 158-164
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P. Krajnik, F. Pusavec, A. Rashid, Nanofluids: Properties, applications and sustainability aspects in materials processing technologies , Advances in Sustainable Manufacturing, Springer, Berlin, (2011), 107-113
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R. P. Laein, S. Rashidi, J. A. Esfahani, Experimental investigation of nanofluid free convection over the vertical and horizontal flat plates with uniform heat flux by PIV, Adv. Powder Technol., 27 (2016), 312-322
##[33]
S. T. Mohyud-Din, Z. A. Zaidi, U. Khan, N. Ahmed, On heat and mass transfer analysis for the flow of a nanofluid between rotating parallel plates , Aerosp. Sci. Technol., 46 (2015), 514-522
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M. N. Özişik, Heat conduction, second edition , John Wiley & Sons Inc., New York (1993)
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P. Rana, R. Bhargava, Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study , Commun. Nonlinear Sci. Numer. Simul., 17 (2012), 212-226
##[36]
M. M. Rashidi, N. Freidoonimehr, A. Hosseini, O. A. Bég, T.-K. Hung, Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration, Meccanica, 49 (2014), 469-482
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R. H. Stern, H. Rasmussen, Left ventricular ejection: model solution by collocation, an approximate analytical method , Comput. Biol. Med., 26 (1996), 255-261
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M. Turkyilmazoglu, Analytical solutions of single and multi-phase models for the condensation of nanofluid film flow and heat transfer, Eur. J. Mech. B/Fluid., 53 (2015), 272-277
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M. Turkyilmazoglu, Anomalous heat transfer enhancement by slip due to nanofluids in circular concentric pipes, Int. J. Heat Mass Transf., 85 (2015), 609-614
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B. Vaferi, V. Salimi, D. D. Baniani, A. Jahanmiri, S. Khedri, Prediction of transient pressure response in the petroleum reservoirs using orthogonal collocation , J. Petrol. Sci. Eng., 98 (2012), 156-163
]
New type of multivalued F-contraction involving fixed points on closed ball
New type of multivalued F-contraction involving fixed points on closed ball
en
en
This paper is a continuation of the investigations of F-contraction. The aim of this article is to extend the concept of F-contraction on closed ball. We introduce the notion of Ćirić type multivalued F-contraction on closed ball and establish new
fixed point theorems for Ćirić type multivalued F-contraction on closed ball in a complete metric space. Our results are very
useful for the contraction of the mapping only on closed ball instead on the whole space. Some comparative examples are
constructed whose illustrate the superiority of our results. Our results provide extension as well as substantial generalizations
and improvements of several well-known results in the existing comparable literature.
246
254
Aftab
Hussain
Hafiz Farooq
Ahmad
Muhammad
Arshad
Muhammad
Nazam
Metric space
fixed point
F-contraction
closed ball.
Article.6.pdf
[
[1]
M. Abbas, B. Ali, S. Romaguera, Fixed and periodic points of generalized contractions in metric spaces , Fixed Point Theory Appl., 2013 (2013 ), 1-11
##[2]
M. Abbas, T. Nazir, T. A. Lampert, S. Radenović, Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph , Comp. Appl. Math., 36 (2017), 1607-1622
##[3]
T. Abdeljawad, Meir-Keeler \(\alpha\)-contractive fixed and common fixed point theorems, Fixed PoinTheory Appl., 2013 (2013 ), 1-10
##[4]
Ö . Acar, I. Altun, A fixed point theorem for multivalued mappings with \(\delta\)-distance, Abstr. Appl. Anal., 2014 (2014 ), 1-5
##[5]
Ö. Acar, G. Durmaz, G. Minak, Generalized multivalued F-contractions on complete metric spaces , Bull. Iranian Math. Soc., 40 (2014), 1469-1478
##[6]
H. H. Alsulami, E. Karapınar, H. Piri, Fixed points of generalized F-Suzuki type contraction in complete b-metric spaces, Discrete Dyn. Nat. Soc., 2015 (2015 ), 1-8
##[7]
M. Arshad, E. Ameer, A. Hussain, Hardy-Rogers-type fixed point theorems for \(\alpha-GF\)-contractions , Arch. Math. (Brno), 51 (2015), 129-141
##[8]
M. Arshad, Fahimuddin, A. Shoaib, A. Hussain, Fixed point results for \(\alpha-\psi\)-locally graphic contraction in dislocated qusai metric spaces, [[Corrected title: Fixed point results for \(\alpha-\psi\)-locally graphic contraction in dislocated quasi metric spaces]] Math. Sci. (Springer), 8 (2014), 79-85
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]
Characterizations of upper and lower \(\alpha(\mu_X,\mu_Y)\)-continuous multifunctions
Characterizations of upper and lower \(\alpha(\mu_X,\mu_Y)\)-continuous multifunctions
en
en
A new class of multifunctions, called upper (lower) \(\alpha(\mu_X,\mu_Y)\)-continuous multifunctions, has been defined and studied.
Some characterizations and several properties concerning upper (lower) \(\alpha(\mu_X,\mu_Y)\)-continuous multifunctions are obtained.
255
265
Napassanan
Srisarakham
Chawalit
Boonpok
Generalized topological space
\(\mu-\alpha\)-open
upper \(\alpha(\mu_X،\mu_Y)\)-continuous multifunction
lower \(\alpha(\mu_X،\mu_Y)\)-continuous multifunction.
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Dynamic behaviors of a nonautonomous modified Leslie-Gower predator-prey model with Holling-type III schemes and a prey refuge
Dynamic behaviors of a nonautonomous modified Leslie-Gower predator-prey model with Holling-type III schemes and a prey refuge
en
en
A nonautonomous modified Leslie-Gower predator-prey model with Holling-type III schemes and a prey refuge is proposed
and studied in this paper. Sufficient conditions which guarantee the permanence and global stability of the system are obtained,
respectively. Our results indicate that the prey refuge has no influence on the persistent property of the system, while it has
positive effect on the stability property of the system. Numeric simulations show the feasibility of the main results.
266
277
Fengde
Chen
Qiaoxia
Lin
Xiangdong
Xie
Yalong
Xue
Predator
prey
permanence
global stability.
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Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems
Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems
en
en
Bifurcation of limit cycles and analytic center conditions for a class of systems in which the origin is a generalized nilpotent
singular point are discussed. An interesting phenomenon is that the exponent parameter \(n\) controls the singular point type of
the studied system (1.1).
278
287
Yusen
Wu
Cui
Zhang
Sumin
Yang
Limit cycle bifurcation
analytic center conditions
generalized nilpotent systems.
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Particle swarm optimization with opposition-based learning and near neighbor interactions
Particle swarm optimization with opposition-based learning and near neighbor interactions
en
en
Particle swarm optimization (PSO) is recently proposed as population-based stochastic algorithm, which has shown excellent
abilities in many optimization problems. In this paper, a hybrid PSO variant is presented to enhance its performance. The
new algorithm is called OFDR-PSO which employs opposition-based learning (OBL) and fitness-distance-ratio (FDR). In order
to verify the performance of OFDR-PSO, we test in on a set of well-known benchmark problems. Simulation results demonstrate
that our proposed approach is effective and outperforms other four compared algorithms.
288
292
Jin
Wang
Particle swarm optimization
evolutionary computation
opposition-based learning
global optimization.
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]
Controllability of abstract fractional differential evolution equations with nonlocal conditions
Controllability of abstract fractional differential evolution equations with nonlocal conditions
en
en
In this paper, the controllability of a class of fractional differential evolution equations with nonlocal conditions is investigated.
Sufficient conditions which guarantee the controllability of fractional differential evolution equations are obtained. The
method used is the contraction mapping principle and Krasnoselskii theorem. A fractional distributed parameter control system
is provided to illustrate the applications of our results.
293
300
Haiyong
Qin
Chenghui
Zhang
Tongxing
Li
Ying
Chen
Fractional differential equation
controllability
nonlocal condition
fixed point theorem.
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Asymptotic behavior of discrete semigroups of bounded linear operators over Banach spaces
Asymptotic behavior of discrete semigroups of bounded linear operators over Banach spaces
en
en
Assume that \(\vartheta_j\) is the solution of the nonhomogeneous Cauchy problem
\[\vartheta_{j+1}=\rho(1)\vartheta_j+f(j+1),\quad \vartheta_0=0,\]
where \(\rho(1)\) is the algebraic generator of the discrete semigroup \(\textbf{T}=\{\rho(j): j\in \mathbb{Z}_+\}\) acting on a complex Banach space \(\Delta\). Suppose
further that \(\textbf{AA}\textbf{P}_0^r(\mathbb{Z}_+,\Delta)\) is the space of asymptotically almost periodic sequences with relatively compact ranges. We prove
that the system
\[u_{j+1}=\rho(1)u_j\]
is uniformly exponentially stable if and only if for each \(f\in \textbf{AA}\textbf{P}_0^r(\mathbb{Z}_+,\Delta)\) the solution \(\vartheta_j\in \textbf{AA}\textbf{P}_0^r(\mathbb{Z}_+,\Delta)\) .
301
307
Shuhong
Tang
Akbar
Zada
Habiba
Khalid
Tongxing
Li
Banach space
difference equation
uniform exponential stability
almost periodic sequence
relatively compact
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]
Fixed point results for multivalued mappings on a sequence in a closed ball with applications
Fixed point results for multivalued mappings on a sequence in a closed ball with applications
en
en
In this paper, we establish fixed point results for semi \(\alpha_*\)-admissible multivalued mappings satisfying a contractive condition
of Reich type only for the elements in a sequence contained in closed ball in a complete dislocated metric space. As an
application, we derive some new fixed point theorems for ordered metric space and metric space endowed with a graph. An
example has been constructed to demonstrate the novelty of our results. Our results unify, extend, and generalize several
comparable results in the existing literature.
308
316
Abdullah
Shoaib
Akbar
Azam
Muhammad
Arshad
Eskandar
Ameer
Fixed point
complete dislocated metric space
closed ball
\(\alpha_*\)- admissible.
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]
Some fixed point theorems of self-generalized contractions in partially ordered G-metric spaces
Some fixed point theorems of self-generalized contractions in partially ordered G-metric spaces
en
en
The objective of this paper is to prove some fixed point results for self-mappings in partially ordered G-metric spaces using
generalized contractive conditions. Our results are the extensions of the results presented in Agarwal et al. [R. P. Agarwal, M. A.
El-Gebeily, D. O’Regan, Appl. Anal., 87 (2008), 109–116] form ordered metric spaces to partially ordered G-metric spaces. The
usefulness of the results is also illustrated by an example.
317
324
Muhammad
Akram
Yasira
Mazhar
G-metric
partially ordered spaces
generalized contractions
fixed points.
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Asymptotic behavior criteria for solutions of nonlinear third order neutral differential equations
Asymptotic behavior criteria for solutions of nonlinear third order neutral differential equations
en
en
In this paper the asymptotic behavior for all nonoscillatory solutions of third order nonlinear neutral differential equations
have been investigated, where some necessary and sufficient conditions are obtained to guarantee the convergence of these
solutions to zero or tends to infinity as \(t\rightarrow\infty\). We introduced Lemma 2.1 and Lemma 2.2 which are a generalization of
Lemma 1.5.2 [I. Győri, G. Ladas, Oxford Mathematical Monographs, Oxford Science Publications, The Clarendon Press, Oxford
University Press, New York, (1991)]. Some examples are given to illustrate our main results.
325
331
Hussain Ali
Mohamad
Sattar Naser
Ketab
Oscillation
asymptotic behavior
neutral differential equations.
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]
Lie symmetry analysis of the Hanta-epidemic systems
Lie symmetry analysis of the Hanta-epidemic systems
en
en
We consider a model for the fatal Hanta-virus infection among mice. Lie symmetry analysis is applied to find general
solutions to Hanta-virus model, which is also known as Abramson-Kenkre model. Besides the solution for the version with
derivatives of fractional order, we investigate the model also by using the Lie symmetry method. The basic point of view for
both situations will be logistic differential equation, created for total population.
332
344
Mevlude Yakit
Ongun
Mehmet
Kocabiyik
Lie symmetries
logistic differential equation
Hanta epidemics
fractional order differential equation.
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