Caputo-Hadamard fractional differential Cauchy problem in Frechet spaces

被引：3

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Berhoun, Farida ^{[2
]}

Henderson, Johnny ^{[3
]}

机构：

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

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

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 03期

关键词：

Differential equation; Left-sided mixed Hadamard integral of fractional order; Caputo-Hadamard fractional derivative; Existence; Measure of noncompactness; Frechet space; Fixed point;

D O I：

10.1007/s13398-019-00625-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with some existence results of solutions for a class of differential equations involving the Caputo-Hadamard fractional derivative in Frechet spaces. These results are based on a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measure of noncompactness. We illustrate our results by an example.

引用

页码：2335 / 2344

页数：10

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