Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions

Authors

Yimin Xue School of Mathematics and Physics, Xuzhou University of Technology, Xuzhou 221018, China
Zhenxiang Dai School of Mathematics and Physics, Xuzhou University of Technology, Xuzhou 221018, China
Jie Liu School of Mathematics and Physics, Xuzhou University of Technology, Xuzhou 221018, China
Ying Su School of Mathematics and Physics, Xuzhou University of Technology, Xuzhou 221018, China

DOI:

https://doi.org/10.4208/jpde.v31.n1.5

Keywords:

existence and uniqueness;Caputo derivative;fractional differential equation;fixed point theorem;integral boundary value conditions.

Abstract

In the paper, we consider the existence and uniqueness results for Caputo fractional differential equations with integral boundary value condition. The sufficient conditions of existence and uniqueness are obtained by applying the contraction mapping principle, Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory, which partly improves and extends the associated results of fractional differential equations. Four examples illustrating our main results are included.

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Published

2018-08-16

Issue

Vol. 31 No. 1 (2018)

Section

Articles