Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Frechet spaces

被引：9

作者：

Benchohra, Mouffak ^{[1
,2
]}

Bouteffal, Zohra ^{[3
]}

Henderson, Johnny ^{[4
]}

Litimein, Sara ^{[1
]}

机构：

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

[2] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[3] Mustapha Stambouli Univ Mascara, Fac Exact Sci, Dept Math, POB 305, Mascara 29000, Algeria

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

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 01期

关键词：

fractional integro-differential equations; solution operator; mild solution; fixed point; state-dependent nonlocal condition; measure of noncompactness; Frechet space; MILD SOLUTIONS; EXISTENCE;

D O I：

10.3934/math.2020002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of mild solutions for non-linear fractional integro-differential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measures of noncompactness. An application of the main result has been included.

引用

页码：15 / 25

页数：11

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