A class of nonlocal impulsive differential equations with conformable fractional derivative

被引：1

作者：

Bouaouid, Mohamed ^{[1
]}

Kajouni, Ahmed ^{[1
]}

Hilal, Khalid ^{[1
]}

Melliani, Said ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Fac Sci & Tech, Dept Math, BP 523, Beni Mellal 23000, Morocco

来源：

CUBO-A MATHEMATICAL JOURNAL | 2022年 / 24卷 / 03期

关键词：

Functional-differential equations with fractional derivatives; Groups and semigroups of linear operators; Nonlocal conditions; Impulsive conditions; Conformable fractional derivatives; EXISTENCE;

D O I：

10.56754/0719-0646.2403.0439

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative. The main results are based on the semigroup theory combined with some fixed point theorems. We also give an example to illustrate the applicability of our abstract results

引用

页码：439 / 455

页数：17

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