Lp-existence of mild solutions of fractional differential equations in Banach space

被引：0

作者：

Jawandou, Adel ^{[1
]}

机构：

[1] Carthage Univ, Dept Math, Bizerte Preparatory Engn Inst, Tunis, Tunisia

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2019年 / 7卷 / 01期

关键词：

Semilinear integro-differential fractional equations; Measure of noncompactness; Mild solutions; Schauder fixed point theorem; Darbo fixed point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of mild solutions for semilinear fractional differential equations with nonlocal initial conditions in L-p([0, 1], E), where E is a separable Banach space. The main ingredients used in the proof of our results are measure of non-compactness, Darbo and Schauder fixed point theorems. Finally, an application is proved to illustrate the results of this work.

引用

页码：105 / 116

页数：12

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