Existence of Solutions for Fractional Integro-Differential Equations with Non-Local Boundary Conditions

Mathematical and Computational Applications

Ghazanfari, Bahman¹  Bazgir, Hamed² 

[1]Author to whom correspondence should be addressed.

[2]Department of Mathematics, Lorestan University, Khorramabad 68137-17133, Iran

关键词: fractional differential equations;    Caputo fractional derivative;    fixed point theorem;   

DOI  :  10.3390/mca23030036

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this paper, we study the existence of solutions for a new class of boundary value problems of non-linear fractional integro-differential equations. The existence result is obtained with the aid of Schauder type fixed point theorem while the uniqueness of solution is established by means of contraction mapping principle. Then, we present some examples to illustrate our results.

【 授权许可】

CC BY