Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line

Advances in Difference Equations

Bashir Ahmad¹  Ravi P Agarwal¹  Yuji Liu² 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Guangdong University of Business Studies, Guangzhou, P.R. China

关键词: boundary value problem;    fractional differential system;    Riemann-Liouville fractional derivative;    fixed-point theorem;   

DOI  :  10.1186/1687-1847-2013-46

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we study a boundary value problem of a coupled system of nonlinear Riemann-Liouville type fractional differential equations with fractional boundary conditions on the half-line. An appropriate compactness criterion is established to prove the existence of solutions of the problem by means of the Schauder fixed point theorem. An illustrative example is also given. MSC:34A08, 34A12, 34B40.

【 授权许可】

CC BY