Uniqueness and existence of positive solutions for the fractional integro-differential equation

Boundary value problems

Ying Wang²  Lishan Liu³ 

[1] School of Mathematical Sciences, Qufu Normal University, Qufu, People’School of Science, Linyi University, Linyi, People’s Republic of China

关键词: fractional integro-differential equation;    integral conditions;    uniqueness;    existence;    34A08;    34B18;   

DOI  :  10.1186/s13661-016-0741-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the uniqueness and existence of positive solutions for the fractional integro-differential equation with the integral boundary value problem. By means of the Banach contraction principle and the Krasnoselskii fixed point theorem, the sufficient conditions on the uniqueness and existence of positive solutions are investigated. An example is given to illustrate the main results.

【 授权许可】

CC BY