Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions

Boundary value problems

Bashir Ahmad¹  Ahmed Alsaedi¹ 

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

关键词: fractional differential equations;    fractional boundary conditions;    separated boundary conditions;    fixed point theorems;   

DOI  :  10.1186/1687-2770-2012-124

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study the existence of solutions for a class of nonlinear Caputo-type fractional boundary value problems with nonlocal fractional integro-differential boundary conditions. We apply some fixed point principles and Leray-Schauder degree theory to obtain the main results. Some examples are discussed for the illustration of the main work. MSC:34A08, 34A12, 34B15.

【 授权许可】

CC BY