Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions

Boundary value problems

Jessada Tariboon¹  Aphirak Aphithana³  Sotiris K Ntouyas⁴ 

[1] Department of Mathematics, University of Ioannina, Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

关键词: fractional differential equations;    boundary value problems;    symmetric solutions;    fixed point theorems;    existence;    uniqueness;    34A08;    34B15;   

DOI  :  10.1186/s13661-015-0329-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral boundary conditions, by means of standard fixed point theorems. Examples which support our theoretical results are also presented.

【 授权许可】

CC BY