Caputo-Fabrizio fractional differential equations with instantaneous impulses

被引：17

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Nieto, Juan J. ^{[3
]}

机构：

[1] Univ Saida Dr Moulay Tahar, Dept Math, POB 138, En Nasr 20000, Saida, Algeria

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

[3] Univ Santiago de Compostela, Dept Estat Anal Matemat & Optimizac, Inst Matemat, Santiago De Compostela, Spain

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 03期

关键词：

Fractional differential equation; Caputo-Fabrizio integral of fractional order; Caputo-Fabrizio fractional derivative; instantaneous impulse; measure of noncompactness; fixed point;

D O I：

10.3934/math.2021177

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional differential equations with instantaneous impulses. Our results are based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness. Two illustrative examples are the subject of the last section.

引用

页码：2932 / 2946

页数：15

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