A coupled system of fractional differential equations with nonlocal integral boundary conditions

Advances in Difference Equations

Mustafa Obaid¹  Sotiris K Ntouyas² 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, University of Ioannina, Ioannina, Greece

关键词: Caputo fractional derivative;    fractional differential systems;    integral boundary conditions;    fixed-point theorems;   

DOI  :  10.1186/1687-1847-2012-130

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order. Our results are based on the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point theorem. An illustrative example is also presented. MSC:34A08, 34A12, 34B15.

【 授权许可】

CC BY