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International Journal of Differential Equations
Volume 2010 (2010), Article ID 186928, 12 pages
Positive Solution to Nonzero Boundary Values Problem for a Coupled System of Nonlinear Fractional Differential Equations
Department of Mathematics, Xiangnan University, Chenzhou 423000, China
Received 13 April 2009; Accepted 9 June 2009
Academic Editor: Shaher Momani
Copyright © 2010 Jinhua Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [25 citations]
The following is the list of published articles that have cited the current article.
- Jinhua Wang, Hongjun Xiang, and ZhiGang Liu, “Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator,” International Journal of Mathematics and Mathematical Sciences, vol. 2010, pp. 1–17, 2010.
- Yige Zhao, Shurong Sun, Zhenlai Han, and Wenquan Feng, “Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders,” Advances In Difference Equations, 2011.
- Zigen Ouyang, Yuming Chen, and Shuliang Zou, “Existence of Positive Solutions to a Boundary Value Problem for a Delayed Nonlinear Fractional Differential System,” Boundary Value Problems, vol. 2011, pp. 1–17, 2011.
- Svatoslav Stanek, “Limit properties of positive solutions of fractional boundary value problems,” Applied Mathematics and Computation, vol. 219, no. 5, pp. 2361–2370, 2012.
- Wengui Yang, “Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions,” Computers & Mathematics with Applications, vol. 63, no. 1, pp. 288–297, 2012.
- Guotao Wang, Bashir Ahmad, and Lihong Zhang, “A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain,” Abstract and Applied Analysis, vol. 2012, pp. 1–11, 2012.
- Sotiris K Ntouyas, and Mustafa Obaid, “A coupled system of fractional differential equations with nonlocal integral boundary conditions,” Advances in Difference Equations, vol. 2012, 2012.
- Naoki Shioji, and Marco Squassina, “Symmetry of -mode positive solutions for two-dimensional Hénon type systems,” Journal of Mathematical Analysis and Applications, vol. 405, no. 1, pp. 128–134, 2013.
- Jiqiang Jiang, Lishan Liu, and Yonghong Wu, “Positive solutions to singular fractional differential system with coupled boundary conditions,” Communications in Nonlinear Science and Numerical Simulation, 2013.
- Youzheng Ding, Zhongli Wei, and Jiafa Xu, “Positive solutions for a fractional boundary value problem with p-Laplacian operator,” Journal of Applied Mathematics and Computing, vol. 41, no. 1-2, pp. 257–268, 2013.
- Thanin Sitthiwirattham, Jessada Tariboon, and Sotiris K. Ntouyas, “Boundary value problems for fractional difference equations with three-point fractional sum boundary conditions,” Advances in Difference Equations, 2013.
- Thanin Sitthiwirattham, Jessada Tariboon, and Sotiris K. Ntouyas, “Boundary value problems for a new class of three-point nonlocal Riemann-Liouville integral boundary conditions,” Advances In Difference Equations, 2013.
- Minjie Li, and Yiliang Liu, “Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations,” Open Journal of Applied Sciences, vol. 03, no. 01, pp. 53–61, 2013.
- Thanin Sitthiwirattham, Jessada Tariboon, and Sotiris K. Ntouyas, “Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions,” Discrete Dynamics in Nature and Society, vol. 2013, pp. 1–9, 2013.
- Fuquan Jiang, Xiaojie Xu, and Zhongwei Cao, “The Positive Properties of Green’s Function for Fractional Differential Equations and Its Applications,” Abstract and Applied Analysis, vol. 2013, pp. 1–12, 2013.
- Bashir Ahmad, and Sotiris K. Ntouyas, “A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations,” Fractional Calculus and Applied Analysis, vol. 17, no. 2, pp. 348–360, 2014.
- M. Badiale, and G. Cappa, “Non radial solutions for a non homogeneous Hénon equation,” Nonlinear Analysis: Theory, Methods & Applications, vol. 109, pp. 45–55, 2014.
- Ying Wang, Lishan Liu, and Yonghong Wu, “Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and par,” Advances In Difference Equations, 2014.
- Jessada Tariboon, Sotiris K. Ntouyas, and Weerawat Sudsutad, “Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions,” Advances in Difference Equations, 2014.
- Chatthai Thaiprayoon, Jessada Tariboon, and Sotiris K. Ntouyas, “Impulsive fractional boundary-value problems with fractional integral jump conditions,” Boundary Value Problems, 2014.
- Bashir Ahmad, Sotiris K. Ntouyas, and Ahmed Alsaedi, “Existence Results for a System of Coupled Hybrid Fractional Differential Equations,” The Scientific World Journal, vol. 2014, pp. 1–6, 2014.
- Wenning Liu, Xingjie Yan, and Wei Qi, “Positive Solutions for Coupled Nonlinear Fractional Differential Equations,” Journal of Applied Mathematics, vol. 2014, pp. 1–7, 2014.
- Assia Guezane-Lakoud, and Allaberen Ashyralyev, “Positive Solutions for a System of Fractional Differential Equations with Nonlocal Integral Boundary Conditions,” Differential Equations and Dynamical Systems, 2015.
- Ying Wang, Lishan Liu, Xinguang Zhang, and Yonghong Wu, “Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection,” Applied Mathematics and Computation, vol. 258, pp. 312–324, 2015.
- Yuji Liu, “Existence Of Solutions Of A Class Of Impulsive Periodic Type Bvps For Singular Fractional Differential Systems,” Korean Journal of Mathematics, vol. 23, no. 1, pp. 205–230, 2015.