一类具有保形分数导数的非局部脉冲微分方程

IF 0.5 Q3 MATHEMATICS

Cubo Pub Date : 2022-12-21 DOI:10.56754/0719-0646.2403.0439

M. Bouaouid, A. Kajouni, K. Hilal, S. Melliani

{"title":"一类具有保形分数导数的非局部脉冲微分方程","authors":"M. Bouaouid, A. Kajouni, K. Hilal, S. Melliani","doi":"10.56754/0719-0646.2403.0439","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A class of nonlocal impulsive differential equations with conformable fractional derivative\",\"authors\":\"M. Bouaouid, A. Kajouni, K. Hilal, S. Melliani\",\"doi\":\"10.56754/0719-0646.2403.0439\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":36416,\"journal\":{\"name\":\"Cubo\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-12-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cubo\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56754/0719-0646.2403.0439\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cubo","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56754/0719-0646.2403.0439","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文讨论了一类具有保形分数阶导数的非局部脉冲微分方程的Duhamel公式、温和解的存在性、唯一性和稳定性。主要结果是基于半群理论和一些不动点定理。我们还举了一个例子来说明我们的抽象结果的适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A class of nonlocal impulsive differential equations with conformable fractional derivative

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Cubo Mathematics-Logic

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

20 weeks