Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions

Boundary value problems

Mohammed M Matar¹  Bashir Ahmad²  Ravi P Agarwal² 

[1] Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, Palestine;NAAM-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: fractional derivative;    arbitrary order;    integral boundary conditions;    existence;    fixed point;    34A12;    34G20;    26A33;   

DOI  :  10.1186/s13661-015-0484-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence of solutions for fractional differential equations of arbitrary order with nonlocal integral boundary conditions. The existence results are obtained by applying Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory, while the uniqueness of the solutions is established by means of Banach’s contraction mapping principle. The paper concludes with illustrative examples.

【 授权许可】

CC BY