]>
2016
16
2
166
A fixed point theorem in \(S_b\)-metric spaces
A fixed point theorem in \(S_b\)-metric spaces
en
en
In this paper, we introduce an interesting extension of the \(S\)-metric spaces called \(S_b\)-metric spaces,
in which we show the existence of fixed point for a self mapping defined on such spaces. We also
prove some results on the topology of the \(S_b\)-metric spaces.
131
139
N.
Souayah
N.
Mlaiki
Functional analysis
\(S_b\)-metric space
common fixed point.
Article.1.pdf
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M. Bota, A. Molnar, C. Varga, On Ekeland's variational principle in b-metric spaces, Fixed Point Theory, 12 (2011), 21-28
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A. K. Dubey, R. Shukla, R. P. Dubey, Some fixed point results in b-metric spaces , Asian J. Math. Appl., 2014 (2014 ), 1-6
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M. Mlaiki, Common fixed points in complex S-metric space, Adv. Fixed Point Theory, 4 (2014), 509-524
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N. Mlaiki, \(\alpha-\psi\)-Contractive Mapping on S-Metric Space, Math. Sci. Lett., 4 (2015), 9-12
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A. Mukheimer, \(\alpha-\psi-\phi\)-contractive mappings in ordered partial b-metric spaces, J. Nonlinear Sci. Appl., 7 (2014), 168-179
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K. Prudhvi, Fixed Point Theorems in S-Metric Spaces, Univer. J. Comput. Math., 3 (2015), 19-21
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W. Shatanawi, A. Pitea, Some coupled fixed point theorems in quasi-partial metric spaces, Fixed Point Theory Appl., 2013 (2013 ), 1-15
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C.Vetro, S. Chauhan, E. Karapinar, W. Shatanawi, Fixed Points of Weakly Compatible Mappings Satisfying Generalized \(\varphi\)-Weak Contractions, Bull. Malays. Math. Sci. Soc., 38 (2015), 1085-1105
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S. Shukla, Partial b-Metric Spaces and Fixed Point Theorems, Mediterr. J. math., 11 (2014), 703-711
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A. Singh, N. Hooda, Coupled Fixed Point Theorems in S-metric Spaces, Inter. J. Math. Stat. Invent., 2 (2014), 33-39
]
Undetermined coefficients for local fractional differential equations
Undetermined coefficients for local fractional differential equations
en
en
We discuss the method of undetermined coefficients for fractional differential equations, where we use the (local) conformable fractional derivative presented in [R. Khalil, M. Al Horani, A. Yousef,
M. Sababheh, J. Comput. Appl. Math., 264 (2014), 65--70]. The concept of fractional polynomials,
fractional exponentials and fractional trigonometric functions is introduced. A method similar to the
case of ordinary differential equations is established to find a particular solution for nonhomogenous
linear fractional differential equations. Some other results are presented.
140
146
Roshdi
Khalil
Department of Mathematics
The University of Jordan
Jordan
Mohammed Al
Horani
Department of Mathematics, Faculty of Science
University of Hail
Saudi Arabia
Douglas
Anderson
Department of Mathematics
Concordia College
USA
Conformable fractional
derivative
fractional integral
fractional differential equation
undetermined coefficients
Article.2.pdf
[
[1]
T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math., 279 (2015), 57-66
##[2]
T. Abdeljawad, M. Al Horani, R. Khalil, Conformable Fractional Semigroups of Operators, J. Semigroup Theory Appl., 2015 (2015 ), 1-11
##[3]
M. Abu Hammad, R. Khalil, Abel's formula and Wronskian for conformable fractional differential equations, Int. J. Differential Equations Appl., 13 (2014), 177-183
##[4]
B. Bayour, D. F. M. Torres, Existence of solution to a local fractional nonlinear differential equation, J. Comput. Appl. Math., 312 (2016), 127-133
##[5]
N. Benkhettou, S. Hassani, D. F. M. Torres, A conformable fractional calculus on arbitrary time scales, J. King Saud Univ., 28 (2016), 93-98
##[6]
T. Caraballoa, M. Abdoul Diopb, A. A. Ndiayeb, Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion, J. Nonlinear Sci. Appl., 7 (2014), 407-421
##[7]
A. Gokdogan, E. Unal, E. Celik, Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential Equations, , , (to appear in Miskolc Mathematical Notes.)
##[8]
M. Hao, C. Zhai, Application of Schauder fixed point theorem to a coupled system of differential equations of fractional order , J. Nonlinear Sci. Appl., 7 (2014), 131-137
##[9]
R. Khalil, M. Al Horani, A. Yousef, M. Sababheh, A new Definition of Fractional Derivative, J. Comput. Appl. Math., 264 (2014), 65-70
##[10]
A. Kilbas, H. Srivastava, J. Trujillo, Theory and applications of fractional differential equations, Math. Studies. Northholland, NewYork (2006)
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J. A. Nanware, D. B. Dhaigude, Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions, J. Nonlinear Sci. Appl., 7 (2014), 246-254
]
Variation of parameters for local fractional nonhomogenous lineardifferential equations
Variation of parameters for local fractional nonhomogenous lineardifferential equations
en
en
In this paper we study the method of variation of parameters to find a particular solution of a
nonhomogenous linear fractional differential equations. A formula similar to that for usual ordinary
differential equations is obtained.
147
153
Mohammed AL
Horani
Mamon Abu
Hammad
Roshdi
Khalil
Conformable fractional derivative
fractional integral
fractional differential equation
variation of parameters.
Article.3.pdf
[
[1]
T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math., 279 (2015), 57-66
##[2]
T. Abdeljawad, M. Al Horani, R. Khalil, Conformable fractional semigroups of operators , J. Semigroup Theory Appl., 2015 (2015 ), 1-9
##[3]
B. Bayour, D. F. M. Torres, Existence of solution to a local fractional nonlinear differential equation, J. Comput. Appl. Math., 312 (2016), 127-133
##[4]
N. Benkhettou, S. Hassani, D. F. M. Torres, A conformable fractional calculus on arbitrary time scales, J. King Saud Univ. Sci., 28 (2016), 93-98
##[5]
T. Caraballoa, M. A. Diopb, A. A. Ndiayeb, Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion, J. Nonlinear Sci. Appl., 7 (2014), 407-421
##[6]
A. Gökdogan, E. Ünal, E. Çelik, Existence and uniqueness theorems for sequential linear conformable fractional differential equations , , (to appear in Miskolc Mathematical Notes. ), -
##[7]
M. A. Hammad, R. Khalil, Abel's formula and Wronskian for conformable fractional differential equations, Int. J. Differ. Equ. Appl., 13 (2014), 177-183
##[8]
M. Hao, C. Zhai, Application of Schauder fixed point theorem to a coupled system of differential equations of fractional order, J. Nonlinear Sci. Appl., 7 (2014), 131-137
##[9]
R. Khalil, M. Al Horani, A. Yousef, M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math., 264 (2014), 65-70
##[10]
A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations, Elsevier Science B.V., Amsterdam (2006)
##[11]
K. S. Miller, B. Ross, An introduction to fractional calculus and fractional differential equations, John Wiley and Sons, New York (1993)
##[12]
J. A. Nanware, D. B. Dhaigude, Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions, J. Nonlinear Sci. Appl., 7 (2014), 246-254
]
Some extensions for generalized \((\phi ,\psi )\)-almost contractions
Some extensions for generalized \((\phi ,\psi )\)-almost contractions
en
en
In this paper, we derive a new fixed point results in partially ordered b-metric-like spaces. Our
results generalize and extend several well-known comparable results in the literature. Further, two
examples are also given to show that our results are influential.
154
164
Esra
Yolacan
Mehmet
Kir
Hukmi
Kiziltunc
b-metric-like
common fixed point
fixed point
ordered set.
Article.4.pdf
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]
Bifurcations of resonant double homoclinic loops for higher dimensional systems
Bifurcations of resonant double homoclinic loops for higher dimensional systems
en
en
In this work, we study the bifurcation problems of double homoclinic loops with resonant condition
for higher dimensional systems. The Poincaré maps are constructed by using the foundational solutions
of the linear variational systems as the local coordinate systems in the small tubular neighborhoods of the
homoclinic orbits. We obtain the existence, number and existence regions of the small homoclinic loops,
small periodic orbits, and the large homoclinic loops, large periodic orbits, respectively. Moreover, the
complete bifurcation diagrams are given.
165
177
Yinlai
Jin
Han
Xu
Yuerang
Gao
Xue
Zhao
Dandan
Xie
Double homoclinic loops
resonance
bifurcation
higher dimensional system.
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]
A price-performance analysis of EC2, Google Compute and Rackspace cloud providers for scientific computing
A price-performance analysis of EC2, Google Compute and Rackspace cloud providers for scientific computing
en
en
One of the recently emerging areas in cloud computing is deployment of virtual machines across
multiple clouds based on providers' ranking. This involves benchmarking of different cloud providers,
development of different techniques for selection of candidate providers and frameworks for ranking
cloud providers. Existing benchmarking studies are mostly focused on selection of best-fit cloud
provider among a set of cloud providers for a particular set of quality attributes based on industry
best standard tools and techniques. However, most of the researches are focused on performance
of IaaS cloud providers and price-performance analysis is normally ignored while benchmarking
IaaS metrics. In this work, we propose a novel QoS based ranking methodology along with price-
performance analysis that can be used as an input for selecting candidate cloud providers. Our
proposed mechanism allows cloud consumers to find the most cost effective virtual machines for a
given set of user preferences. As a case study, we present performance evaluation and benchmarking
results of three major cloud providers: Google, Amazon and Rackspace.
178
192
Saeed
Ullah
M. Daud
Awan
M. Sikandar Hayat
Khiyal
Cloud Computing
infrastructure-as-a-service
benchmarking
price-performance analysis
ranking
Article.6.pdf
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S. K. Barker, P. Shenoy, Empirical evaluation of latency-sensitive application performance in the cloud, Proceedings of the first annual ACM SIGMM conference on Multimedia systems, (2010), 35-46
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Convergence analysis and approximation solution for the coupled fractional convection-diffusion equations
Convergence analysis and approximation solution for the coupled fractional convection-diffusion equations
en
en
By using maximum principle approach, the existence, uniqueness and stability of a coupled fractional
partial differential equations is studied. A new fractional characteristic finite difference scheme
is given for solving the coupled system. This method is based on shifted Grünwald approximation
and Diethelm's algorithm. We obtain the optimal convergence rate for this scheme and drive the
stability estimates. The results are justified by implementing an example of the fractional order
time and space dependent in concept of the complex Lévy motion. Also, the numerical results are
examined for disinfection and sterilization of tetanus.
193
204
Davood
Rostamy
Ehsan
Mottaghi
Fractional partial differential equations
maximum principle
computational biomathematics
stability
convergence analysis
numerical analysis.
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]
An optimized explicit TDRK method for solving oscillatory problems
An optimized explicit TDRK method for solving oscillatory problems
en
en
In this paper, a new optimized explicit two-derivative Runge-Kutta (TDRK) method with frequencydepending
coeficients is proposed, which is derived by nullifying the dispersion, the dissipation, and the first
derivative of the dispersion. The new method has algebraic order four and is dispersive of order five and
dissipative of order four. In addition, the phase analysis of the new method is also presented. Numerical
experiments are reported to show the efficiency of the new method.
205
210
Yong
Wang
Min
Sun
Hongchun
Sun
Two-derivative Runge-Kutta method
phase fitting
oscillatory problem.
Article.8.pdf
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Khan type fixed point theorems in a generalized metric space
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en
Existence and uniqueness of fixed points are established for a mapping satisfying a new type
of contractive condition involving a rational expression on a generalized metric space. Some main
results by Ahmad et al. [J. Ahmad, M. Arshad, C. Vetro, Int. J. Anal., 2013 (2013), 6 pages] are
extended and generalized, also several particular cases and an illustrative example are given.
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H.
Piri
S.
Rahrovi
P.
Kumam
Fixed point
metric space.
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Applications of adaptive variable step-size algorithm in turbulence observation system
Applications of adaptive variable step-size algorithm in turbulence observation system
en
en
In turbulence observation system, noise signal is random and difficult to identify, which will
pollute the real signal and affect the quality of the data. To eliminate the noise signal, the article
puts forward a kind of adaptive variable step-size de-noising algorithm. Firstly, raw data is changed
into corresponding physical parameters, and spectral analysis is used to analyze the relationship
among these parameters, and then, according to the correlation to construct the variable step-size
de-noising algorithm, and through error to adjust shape of the step size factor to control the optimal
weight coefficient. Finally, simulation and observation data is used to verify the effectiveness of the
algorithm, and Goodman's filter algorithm is compared with the algorithm. The results show that
the algorithm has higher precision and the noise is effectively reduced.
218
226
Yongfang
Wang
Chengdong
Yang
Jianlong
Qiu
Variable step-size
spectral analysis
adaptive noise canceller
turbulence observation system.
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The quadratic convergence of approximate solutions for singular difference systems with "maxima"
The quadratic convergence of approximate solutions for singular difference systems with "maxima"
en
en
This paper investigates the initial value problem of singular difference systems with maxima. An
algorithm based on quasilinearization is suggested to solve the initial value problem for the nonlinear
singular difference system with maxima, and the quadratic convergences of the sequence of successive
approximations are obtained.
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238
Peiguang
Wang
Xiang
Liu
Singular difference system
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quasilinearization.
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Researches on convex extension problems of fuzzy valued functions
Researches on convex extension problems of fuzzy valued functions
en
en
In this paper, we extend the concept of fuzzy valued convex functions, subdifferential, and introduce
a kind of subdifferential of general fuzzy valued functions. By means of the convexification
method, the paper studies the relationships between the subdifferential of general fuzzy valued functions
and the subdifferential of convexification fuzzy valued functions, so that we get the conditions of
how lower semi continuous fuzzy valued functions can be extended to fuzzy valued convex functions.
239
247
Yu-e
Bao
Bing
Dai
Fuzzy valued functions
subdifferential
convexification fuzzy valued functions
convex extension.
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Convergence analysis of the numerical method for a singularly perturbed periodical boundary value problem
Convergence analysis of the numerical method for a singularly perturbed periodical boundary value problem
en
en
This work deals with the singularly perturbed periodical boundary value problem for a quasilinear
second-order differential equation. The numerical method is constructed on piecewise uniform Shishkin
type mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results
supporting the theory are presented.
248
255
Musa
Cakir
Ilhame
Amirali
Mustafa
Kudu
Gabil M.
Amiraliyev
Singular perturbation
periodical problem
fitted difference method
uniformly convergent
boundary layer.
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]
Indoor precise positioning algorithm using 60GHz pulse based on compressive sensing
Indoor precise positioning algorithm using 60GHz pulse based on compressive sensing
en
en
Aiming at the existing defect of poor positioning accuracy in NLOS (Non Line of Sight) environment for
most of the common indoor positioning algorithms, this paper proposes a precise indoor positioning algorithm
using 60GHz pulse based on compressed sensing. The proposed algorithm converts the location of the target
nodes in the area to be located into a sparse vector and designs the over-completed dictionary using TOA
(Time of Arrival)-based ranging, then takes advantage of the \(l_1\)-minimization to reconstruct the location of
the target nodes. The algorithm divides the positioning process into coarse positioning and fine positioning,
and introduces the reference node selection mechanism in fine positioning. The algorithm not only can
achieve the positioning of single target, but also achieve the positioning of multiple targets. Through the
theoretical analysis and experiment simulation results, we can conclude that the proposed algorithm using
60GHz pulse can achieve precise indoor positioning in NLOS environment and centimeter-level positioning
precision can be obtained compared with TOA based 60GHz geometric positioning algorithm.
256
272
Xueyan
Han
Jingjing
Wang
Wei
Shi
Qiuna
Niu
Lingwei
Xu
Full conditional posterior density
NLOS
compressed sensing
positioning.
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T. Baykas, C. S. Sum, Z. Lan, J. Wang, M. A. Rahman, H. Harada, S. Kato, IEEE 802.15.3c: the first IEEE wireless standard for data rates over 1 Gb/s, IEEE Commun. Mag., 49 (2011), 114-121
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E. Candes, J. Romberg, T. Tao, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Trans. Inform. Theory, 52 (2006), 489-509
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C. Gustafson, 60 GHz Wireless Propagation Channels: Characterization, Modeling and Evaluation, Diss. Lund Univ., 2014 (2014)
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IEEE P802.11.ad/D9.0, Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications, , IEEE (2012)
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B. Li, Z. Zhou, W. Zou, X. Sun, G. Du, On the Efficient Beam-Forming Training for 60GHz Wireless Personal Area Networks, IEEE Trans. Wireless Commun., 12 (2013), 504-515
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T. Nagayama, S. Takeda, M. Umehira, K. Kagoshima, T. Miyajima, Improving Performance by Countering Human Body Shadowing in 60GHz Band Wireless Systems by Using Two Transmit and Two Receive Antennas, Ieice Trans. Commun., 99 (2016), 422-429
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]
Mathematical analysis of the geometric mapping in the finite element method
Mathematical analysis of the geometric mapping in the finite element method
en
en
The finite element method FEM is an important tool used in various areas of science, where partial
differential equations need to be discretized. The problem's domain is approximated by means of a
geometric element partition, polyhedrons or polygons, with well defined properties. Then, a standard
or reference element is associated with each distinct geometric figure present in the partition. All the
operations to be made in the deformed elements are loaded instead of this in the reference element
by means of an affine transformation. Thus, for example, instead of defining a numerical integration
rule for each deformed element, one defines a single integration rule in the reference element, and
the calculation is performed employing the affine transformation. In the case of integration of the
equations, using the Jacobian of the transformation, too.
In this paper we make a rigorous analysis of the formal mathematical aspects of mapping between
the finite geometric elements of zero, one, two, and three dimensions, commonly employed in the
finite element theory. We show that this kind of mapping preserves all the geometric properties
present between the reference element and the deformed element, alike the same number of vertices,
edges, faces, and its dimension.
273
281
Cedric M. A. Ayala
Bravo
Victor
Ayala
Finite element method
affine transformation
geometric mapping
reference element.
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Solution of linear time-varying multi-delay systems via variational iteration method
Solution of linear time-varying multi-delay systems via variational iteration method
en
en
This work presents an approximate solution method for the linear time-varying multi-delay systems
and time delay logistic equation using variational iteration method. The method is based on
the use of Lagrange multiplier for identification of optimal value of a parameter in a functional. This
procedure is a powerful tool for solving large amount of problems. Also, it provides a sequence which
converges to the solution of the problem without discretization of the variables. In this study, an idea
is proposed that accelerates the convergence of the sequence which results from the variational iteration
formula for solving systems of delay differential equations. Illustrative examples are included
to demonstrate the validity and applicability of the technique.
282
297
Seyed Mehdi
Mirhosseini-Alizamini
Sohrab
Effati
Aghileh
Heydari
Delay system
time varying
logistic equation
variational iteration method.
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