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

被引：7

作者：

Bazgir, Hamed ^{[1
]}

Ghazanfari, Bahman ^{[1
]}

机构：

[1] Lorestan Univ, Dept Math, Khorramabad 6813717133, Iran

来源：

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2018年 / 23卷 / 03期

关键词：

fractional differential equations; Caputo fractional derivative; fixed point theorem;

D O I：

10.3390/mca23030036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页数：8

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