CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：46

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Hamidi, Naima ^{[2
]}

Henderson, Johnny ^{[3
]}

机构：

[1] Tahar Moulay Univ Saida, Lab Math Geometry Anal Control & Applicat, POB 138, En Nasr 20000, Saida, Algeria

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

[3] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2018年 / 21卷 / 04期

关键词：

fractional differential equation; partial differential equation; mixed Hadamard integral of fractional order; Caputo Hadamard fractional derivative; existence; uniqueness; measure of noncompactness; fixed point;

D O I：

10.1515/fca-2018-0056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with some existence results for a class of Caputo-Hadamard fractional differential equations. The results are based on the Monch's fixed point theorem associated with the technique of measure of noncompactness. Two illustrative examples are presented.

引用

页码：1027 / 1045

页数：19

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