L1-Solutions for Implicit Fractional Order Differential Equations with Nonlocal Conditions

被引：17

作者：

Benchohra, Mouffak ^{[1
,2
]}

Souid, Mohammed Said ^{[3
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Univ Tiaret, Dept Sci Econ, Tiaret, Algeria

来源：

FILOMAT | 2016年 / 30卷 / 06期

关键词：

Implicit fractional-order differential equation; Caputo fractional derivative; Banach contraction fixed point theorem; Nonlocal condition;

D O I：

10.2298/FIL1606485B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of integrable solutions of the nonlocal problem for fractional order implicit differential equations with nonlocal condition. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed point theorem.

引用

页码：1485 / 1492

页数：8

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