Caputo-Fabrizio fractional differential equations with non instantaneous impulses

被引：16

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Nieto, Juan J. ^{[3
]}

机构：

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

[2] Djillali Liabes Univ Sidi Bel Abbes, Math Lab, 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：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2022年 / 71卷 / 01期

关键词：

Ractional differential equation; Caputo– Fabrizio integral of fractional order; Fabrizio fractional derivative; Not instantaneous impulse; Measure of noncompactness; Fixed point; STABILITY; MODEL;

D O I：

10.1007/s12215-020-00591-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with some existence results based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness for Cauchy problem of Caputo-Fabrizio fractional differential equations with not instantaneous impulses. Some illustrative examples are presented in the last section.

引用

页码：131 / 144

页数：14

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