Existence of Solutions for Fractional Differential Equations Involving Two Riemann-Liouville Fractional Orders

被引：0

作者：

Mohamed Houas ^{[1
]}

机构：

[1] Laboratory FIMA, UDBKM, Khemis Miliana University

来源：

Analysis in Theory and Applications | 2018年 / 34卷 / 03期

关键词：

Riemann-Liouville integral; existence; fixed point theorem; Leray-Shauders alternative;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this work, we study existence and uniqueness of solutions for multi-point boundary value problem of nonlinear fractional differential equations with two fractional derivatives. By using the variety of fixed point theorems, such as Banach’s fixed point theorem, Leray-Schauder’s nonlinear alternative and Leray-Schauder’s degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.

引用

页码：253 / 274

页数：22

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