International Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171012Homeomorphism metric space and the fixed point theorems51325141http://dx.doi.org/10.22436/jnsa.010.10.01ENYinglin LuoDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaYongfu SuDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaWenbiao GaoDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China The purpose of this
paper is to introduce the concept of the homeomorphism metric
space and to prove the fixed point theorems and the best proximity
point theorems for generalized contractions in such spaces. The
multiplicative metric space is a special form of the homeomorphism
metric space. The results of this paper improve and extend the previously
known ones in the literature.http://www.isr-publications.com/jnsa/5775/download-homeomorphism-metric-space-and-the-fixed-point-theoremsInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171012Degenerate ordered Bell numbers and polynomials associated with umbral calculus51425155http://dx.doi.org/10.22436/jnsa.010.10.02ENTaekyun KimDepartment of Mathematics, College of Science Tianjin Polytechnic University, Tianjin 300160, ChinaDae San KimDepartment of Mathematics, Sogang University, Seoul 121-742, Republic of KoreaGwan-Woo JangDepartment of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaLee-Chae JangGraduate School of Education, Konkuk University, Seoul 143-701, Republic of Korea In this paper, we study degenerate ordered Bell polynomials with the viewpoint of Carlitz's degenerate Bernoulli and Euler polynomials and derive by using umbral calculus some properties and new identities for the degenerate ordered Bell polynomials associated with special polynomials. http://www.isr-publications.com/jnsa/5776/download-degenerate-ordered-bell-numbers-and-polynomials-associated-with-umbral-calculusInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171012Uniqueness and properties of positive solutions for infinite-point fractional differential equation with p-Laplacian and a parameter51565164http://dx.doi.org/10.22436/jnsa.010.10.03ENLi WangSchool of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, P. R. ChinaChengbo ZhaiSchool of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, P. R. China Using new methods for dealing with an infinite-point fractional differential equation with p-Laplacian and a parameter, we study the existence of unique positive solution for any given positive parameter \(\lambda\), and then give some clear properties of positive solutions which depend on the parameter \(\lambda>0\), that is, the positive solution \(u_\lambda^{*}\) is continuous, strictly increasing in \(\lambda\) and \(\lim_{\lambda\rightarrow +\infty}\|u_\lambda^*\|=+\infty,\lim_{\lambda\rightarrow 0^+}\|u_\lambda^*\|=0.\) Our analysis relies on some new theorems for operator equations \(A(x,x)=x\) and \(A(x,x)=\lambda x\), where \(A\) is a mixed monotone operator. http://www.isr-publications.com/jnsa/5777/download-uniqueness-and-properties-of-positive-solutions-for-infinite-point-fractional-differential-equation-with-p-laplacian-and-a-parameterInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171012Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space51655173http://dx.doi.org/10.22436/jnsa.010.10.04ENQiansheng FengDepartment of Mathematics, Tianjin University, Tianjin, 300354, ChinaNan JiangDepartment of Mathematics, Tianjin University, Tianjin, 300354, ChinaYongfu SuDepartment of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China The purpose of this paper is to approximate
the fixed point of pointwise asymptotically nonexpansive mapping
using the generalized Mann and generalized Ishikawa iterative scheme.
And under the condition that the pointwise asymptotically nonexpansive
mapping is compact, the stability results of the two iterative schemes
are studied.
The main results of this paper modify and improve many important recent
results in the literature.
http://www.isr-publications.com/jnsa/5778/download-convergence-theorems-and-stability-results-of-pointwise-asymptotically-nonexpansive-mapping-in-banach-spaceInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171012Estimates of higher order fractional derivatives at extreme points51745181http://dx.doi.org/10.22436/jnsa.010.10.05ENMohammed Al-RefaiDepartment of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al Ain, UAEDumitru BaleanuDepartment of Mathematics and Computer Science, Cankaya University, 06530 Ankara, Turkey We extend the results concerning the fractional derivatives of a
function at its extreme points to fractional derivatives of
arbitrary order. We also give an estimate of the error and present two examples to illustrate the validity of the results.
The presented results are valid for both Caputo and Riemann-Liouville fractional derivatives.
http://www.isr-publications.com/jnsa/5782/download-estimates-of-higher-order-fractional-derivatives-at-extreme-pointsInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171012Nonlinear Mittag-Leffler stability of nonlinear fractional partial differential equations51825200http://dx.doi.org/10.22436/jnsa.010.10.06ENIbtisam Kamil HananInstitute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, MalaysiaMuhammad Zaini AhmadInstitute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, MalaysiaFadhel Subhi FadhelDepartment of Mathematics and Computer Applications, College of Science, Al-Nahrain University, P. O. Box 47077, Baghdad, Iraq This paper focuses on the application of fractional backstepping control scheme for nonlinear fractional partial differential equation (FPDE). Two types of fractional derivatives are considered in this paper, Caputo and the Grünwald-Letnikov fractional derivatives. Therefore, obtaining highly accurate approximations for this derivative is of a great
importance. Here, the discretized approach for the space variable is used to transform the FPDE into a system of fractional differential equations. The convergence of the closed loop system is guaranteed in the sense of Mittag-Leffler stability. An illustrative example is given to demonstrate the effectiveness of the proposed control scheme.
http://www.isr-publications.com/jnsa/5784/download-nonlinear-mittag-leffler-stability-of-nonlinear-fractional-partial-differential-equationsInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171014Impact of non-separable incidence rates on global dynamics of virus model with cell-mediated, humoral immune responses52015218http://dx.doi.org/10.22436/jnsa.010.10.07ENYoichi EnatsuDepartment of Applied Mathematics, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, JapanJinliang WangSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaToshikazu KuniyaGraduate School of System Informatics, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe 657-8501, Japan
In this paper, we study the dynamical behavior of a virus model into which cell-mediated and humoral immune responses are incorporated. The global stability of an infection-free equilibrium and four infected equilibria is established via a Lyapunov functional approach. The present construction methods are applicable to a wide range of incidence rates that are monotone increasing with respect to concentration of uninfected cells and concave with respect to the concentration of free virus particles. In addition, when the incidence rate is monotone increasing with respect to concentration of free virus particles, the functional approach plays an important role in determining the global stability of each of the four infected equilibria. This implies that the dynamical behavior of virus prevalence would be determined by basic reproduction numbers when the ``saturation effect" for free virus particles appears. We point out that the incidence rate includes not only separable incidence rate but also non-separable incidence rate such as standard incidence and Beddington-DeAngelis functional response.http://www.isr-publications.com/jnsa/5794/download-impact-of-non-separable-incidence-rates-on-global-dynamics-of-virus-model-with-cell-mediated-humoral-immune-responsesInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171014Existence of solution and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator52195229http://dx.doi.org/10.22436/jnsa.010.10.08ENHasib KhanState Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, 210098, Nanjing, P. R. ChinaYongjin LiDepartment of Mathematics, Sun Yat-sen University, 510275, Guangzhou, P. R. ChinaHongguang SunState Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, 210098, Nanjing, P. R. ChinaAziz KhanDepartment of Mathematics, University of Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan
Models with \(p\)-Laplacian operator are common in different scientific fields including; plasma physics, chemical reactions design, physics, biophysics, and many others. In this paper, we investigate existence and uniqueness of solution and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator. The Hyers-Ulam stability means that a differential equation
has a close exact solution which is generated by the approximate solution of the differential equation and the error in the approximation can be estimated. We use topological degree method and provide an expressive example as an application of the work. http://www.isr-publications.com/jnsa/5795/download-existence-of-solution-and-hyers-ulam-stability-for-a-coupled-system-of-fractional-differential-equations-with-p-laplacian-operatorInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171019Reduced differential transform method for solving time and space local fractional partial differential equations52305238http://dx.doi.org/10.22436/jnsa.010.10.09ENOmer AcanDepartment of Mathematics, Art and Science Faculty, Siirt University, Siirt, TurkeyMaysaa’ Mohamed Al QurashiDepartment of Mathematics, Faculty of Art and Science, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi ArabiaDumitru BaleanuDepartment of Mathematics and Computer Sciences, Faculty of Art and Science, Cankaya University, Ankara, Turkey
We apply the new local fractional reduced differential transform method to obtain the solutions of some linear and nonlinear partial differential equations on Cantor set. The reported results are compared with the related solutions presented in the literature and the graphs are plotted to show their behaviors. The results prove that the presented method is faster and easy to apply.http://www.isr-publications.com/jnsa/5848/download-reduced-differential-transform-method-for-solving-time-and-space-local-fractional-partial-differential-equationsInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171019Sensitivity of non-autonomous discrete dynamical systems revisited52395244http://dx.doi.org/10.22436/jnsa.010.10.10ENXian-Feng DingSchool of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, PeopleTian-Xiu LuSchool of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, PeopleJian-Jun WangDepartment of Applied Mathematics, Sichuan Agricultural University, Ya In this note, we construct a transitive non-autonomous discrete
system with strongly periodic density which is not sensitive.
Besides, we prove that every transitive non-autonomous discrete
system with almost periodic density is syndetically sensitive,
provided that it converges uniformly to a map, and that a product
system is multi-sensitive (resp., \(\mathcal{F}\)-sensitive) if and only
if there exists a factor system is multi-sensitive (resp., \(\mathcal{F}\)-sensitive),
where \(\mathcal{F}\) is a filterdual.
http://www.isr-publications.com/jnsa/5849/download-sensitivity-of-non-autonomous-discrete-dynamical-systems-revisitedInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171019Two-step Maruyama schemes for nonlinear stochastic differential delay equations52455260http://dx.doi.org/10.22436/jnsa.010.10.11ENDongxia LeiSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, ChinaXiaofeng ZongSchool of Automation, China University of Geosciences, Wuhan, 430074, ChinaJunhao HuSchool of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, 430074, China This work concerns the two-step Maruyama schemes for nonlinear stochastic differential delay equations (SDDEs). We first examine the strong convergence rates of the split two-step Maruyama scheme and linear two-step Maruyama scheme (including Adams-Bashforth and Adams-Moulton schemes) for nonlinear SDDEs with highly nonlinear delay variables, then we investigate the exponential mean square stability and exponential decay rates of the two classes of two-step Maruyama schemes. These results are important for three reasons: first, the convergence rates are established under the non-global Lipschitz condition; second, these stability results show that these two-step Maruyama schemes can not only reproduce the exponential mean square stability, but also preserve the bound of Lyapunov exponent for sufficient small stepsize; third, they are also suitable for the corresponding two-step Maruyama methods of stochastic ordinary differential equations (SODEs).
http://www.isr-publications.com/jnsa/5850/download-two-step-maruyama-schemes-for-nonlinear-stochastic-differential-delay-equationsInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171019Common fixed points of generalized rational contractions on a closed ball in partial metric spaces52615270http://dx.doi.org/10.22436/jnsa.010.10.12ENMuhammad NazamDepartment of Mathematics, International Islamic University Islamabad, PakistanMuhammad ArshadDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad, PakistanChoonkil ParkResearch Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of KoreaSungsik YunDepartment of Financial Mathematics, Hanshin University, Gyeonggi-do 18101, Republic of Korea
The notion of generalized contractions of rational type on a closed ball is introduced and used to establish some common fixed point theorems for two, three and four mappings in complete ordered partial metric spaces. These results improve several well-known, primary and conventional results. We give an example to illustrate the main idea of our results that there are mappings which have only fixed points inside or on the closed ball instead of whole space.http://www.isr-publications.com/jnsa/5851/download-common-fixed-points-of-generalized-rational-contractions-on-a-closed-ball-in-partial-metric-spacesInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171019Second-order differential superordination for analytic functions in the upper half-plane52715280http://dx.doi.org/10.22436/jnsa.010.10.13ENHuo TangSchool of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, People's Republic of ChinaH. M. SrivastavaDepartment of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, CanadaGuan-Tie DengSchool of Mathematical Sciences, Beijing Normal University, Beijing 100875, People's Republic of ChinaShu-Hai LiSchool of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, People's Republic of China
Let \(\Omega\) be a set in the complex plane \(\mathbb{C}\). Also let \(p(z)\) be analytic in the upper half-plane \(\Delta=\{z:z\in\mathbb{C}\ \text{and}\ \Im(z)>0\}\) and suppose that \(\psi: \mathbb{C}^3\times\Delta\rightarrow\mathbb{C}\).
In this paper, we investigate the problem of determining properties of functions \(p(z)\) that satisfy the following second-order differential superordination:
\[\Omega\subset\left\{\psi\left(p(z),p'(z),p''(z);z\right): z\in\Delta\right\}.\]
Applications of these results to second-order differential superordination for analytic functions in \(\Delta\) are also presented.http://www.isr-publications.com/jnsa/5852/download-second-order-differential-superordination-for-analytic-functions-in-the-upper-half-planeInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171019Positive solution for a coupled system of nonlinear fractional differential equations with fractional integral conditions52815291http://dx.doi.org/10.22436/jnsa.010.10.14ENYaohong LiCenter of Statistical Survey and Advising, Suzhou University, 234000 Anhui , P. R. ChinaHaiyan ZhangSchool of Mathematics and Statistics, Suzhou University, 234000 Anhui , P. R. China By studying the properties of Green's function, constructing a
special cone and applying fixed point theorem of cone expansion and
compression of norm type, this paper investigates the existence of
at least one and two positive solutions for a coupled system of
nonlinear fractional differential equations involving fractional
integral conditions and derivatives of arbitrary order. Two examples
are given to illustrate our results.
http://www.isr-publications.com/jnsa/5855/download-positive-solution-for-a-coupled-system-of-nonlinear-fractional-differential-equations-with-fractional-integral-conditionsInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171020Uniform convexity in \(\ell_{p(\cdot)}\)52925299http://dx.doi.org/10.22436/jnsa.010.10.15ENMostafa BacharDepartment of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi ArabiaMessaoud BounkhelDepartment of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi ArabiaMohamed A. KhamsiDepartment of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, USA In this work, we investigate the variable exponent sequence space \(\ell_{p(\cdot)}\). In particular, we prove a geometric property similar to uniform convexity without the assumption \(\limsup_{n \to \infty} p(n) < \infty\). This property allows us to prove the analogue to Kirk's fixed point theorem in the modular vector space \(\ell_{p(\cdot)}\) under Nakano's formulation.
http://www.isr-publications.com/jnsa/5856/download-uniform-convexity-in-ell-pcdotInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171020Caustics of translation surfaces in Euclidean \(3\)-space53005310http://dx.doi.org/10.22436/jnsa.010.10.16ENJingren ChenSchool of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. ChinaHaiming LiuSchool of Mathematical Sciences, Mudanjiang Normal University, Mudanjiang, 157011, P. R. ChinaJiajing MiaoSchool of Mathematical Sciences, Mudanjiang Normal University, Mudanjiang, 157011, P. R. China The aim of this paper is to classify the singularities of caustics, which have implications for a wide range of physical applications, of translation
surfaces. In addition, we give a particular study on ridge point,
sub-parabolic ridge point, and constant curvature line on
translation surface and we find that there is no elliptic umblic
on translation surface.
http://www.isr-publications.com/jnsa/5857/download-caustics-of-translation-surfaces-in-euclidean-3-spaceInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171020Application of penalty methods to generalized variational inequalities in Banach spaces53115320http://dx.doi.org/10.22436/jnsa.010.10.17ENG. W. SuGuangxi Key Laboratory Cultivation Base of Cross-border E-commerce Intelligent Information Processing, College of Information and Statistics, Guangxi University of Finance and Economics, Nanning, Guangxi, 530003, P. R. ChinaZ. W. ZhaoGuangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences, Guangxi University for Nationalities, Nanning, Guangxi 530006, P. R. China In this paper, we consider a class of generalized variational
inequalities (GVI) in infinite dimensional Banach spaces, in which
only approximation sequences for GVI are known instead of exact
values of the cost mapping and feasible set. A sequence of inexact
solutions of auxiliary problems involving general penalty method is
introduced. We obtain some convergence properties of the perturbed
version of the regularized penalty method under mild coercive
conditions, which extend some well-known results of variational
inequalities in many respects.
http://www.isr-publications.com/jnsa/5858/download-application-of-penalty-methods-to-generalized-variational-inequalities-in-banach-spacesInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171020On monotone multivalued transformations53215327http://dx.doi.org/10.22436/jnsa.010.10.18ENButhinah A. Bin DehaishDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi ArabiaMohamed A. KhamsiDepartment of Mathematics \(\&\) Statistics, King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia and Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, U.S.A. In this work, we discuss the recently introduced monotone \(\tau\)-Opial condition in Banach spaces which admit a sequence of monotone approximations of the identity. Then we give a fixed point theorem for monotone multivalued nonexpansive mappings in Banach spaces satisfying the monotone \(\tau\)-Opial condition. This result generalizes those of Markin, Browder and Lami Dozo to monotone mappings.
http://www.isr-publications.com/jnsa/5859/download-on-monotone-multivalued-transformationsInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171020Existence of solutions for fractional differential equations with integral boundary conditions at resonance53285341http://dx.doi.org/10.22436/jnsa.010.10.19ENWei ZhangDepartment of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. ChinaWenbin LiuDepartment of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China This paper investigates the existence of solutions for Riemann-Stieltjes integral boundary value problems of fractional differential equation by using Mawhin's coincidence degree theory. An example is given to show the application of our result.
http://www.isr-publications.com/jnsa/5860/download-existence-of-solutions-for-fractional-differential-equations-with-integral-boundary-conditions-at-resonanceInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171020Nonlinear contractions and fixed point theorems with modified $\omega$-distance mappings in complete quasi metric spaces53425350http://dx.doi.org/10.22436/jnsa.010.10.20ENInam NuseirDepartment of Mathematics and Statistics, Jordan University of Science and Technology, P. O. Box 3030, Irbid 22110, JordanWasfi ShatanawiDepartment of Mathematics and General Courses, Prince Sultan University, Riyadh, Saudi ArabiaIssam Abu-IrwaqDepartment of Mathematics and Statistics, Jordan University of Science and Technology, P. O. Box 3030, Irbid 22110, JordanAnwar BataihahDepartment of Mathematics, The University of Jordan, Amman, Jordan Alegre and Marin [C. Alegre, J. Marin, Topol. Appl., \({\bf 203}\) (2016), 32--41] introduced
the concept of modified \(\omega\)-distance mappings on a complete
quasi metric space in which they studied some fixed point results.
In this manuscript, we prove some fixed point results of nonlinear
contraction conditions through modified \(\omega\)-distance mapping on
a complete quasi metric space in sense of Alegre and Marin.
http://www.isr-publications.com/jnsa/5861/download-nonlinear-contractions-and-fixed-point-theorems-with-modified-omega-distance-mappings-in-complete-quasi-metric-spacesInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171020Viscosity approximation of solutions of a split feasibility problem in Hilbert spaces53515359http://dx.doi.org/10.22436/jnsa.010.10.21ENYantao YangCollege of Mathematics and Computer Science, Yanan University, Yanan, ChinaYunpeng ZhangInst. Fundamental \(\&\) Frontier Sci., Univ. Elect. Sci. \(\&\) Technol. China, Chenghua District, Chengdu, China In this paper, we study two viscosity approximation iterative methods for solving solutions of a split feasibility problem. Strong convergence theorems are established in the framework of infinite dimensional Hilbert spaces.
http://www.isr-publications.com/jnsa/5862/download-viscosity-approximation-of-solutions-of-a-split-feasibility-problem-in-hilbert-spacesInternational Scientific Research PublicationsJournal of Nonlinear Sciences and Applications(JNSA)ISSN 2008-1901101020171020Positive solutions to nonlinear fractional differential equations involving Stieltjes integrals conditions53605372http://dx.doi.org/10.22436/jnsa.010.10.22ENJiqiang JiangSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People's Republic of ChinaLishan LiuSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People's Republic of ChinaYonghong WuDepartment of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia In this paper, we consider the existence of positive solutions for a
class of nonlinear fractional semipositone differential equations
involving integral boundary conditions. Some existence results of
positive solutions are obtained by means of Leray-Schauder's
alternative and Krasnoselskii's fixed point theorem. An example is
given to demonstrate the application of our main results.
http://www.isr-publications.com/jnsa/5863/download-positive-solutions-to-nonlinear-fractional-differential-equations-involving-stieltjes-integrals-conditions