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
收藏
页码：253 / 274
页数：22
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