具有非局部条件的模糊可合分数阶积分微分方程

Poincare Journal of Analysis and Applications Pub Date : 2022-12-31 DOI:10.46753/pjaa.2022.v09i02.003

M. Atraoui, †. Mohamedbouaouid, †. ChanderShekhar

{"title":"具有非局部条件的模糊可合分数阶积分微分方程","authors":"M. Atraoui, †. Mohamedbouaouid, †. ChanderShekhar","doi":"10.46753/pjaa.2022.v09i02.003","DOIUrl":null,"url":null,"abstract":". In this paper, we consider a conformable fractional Cauchy problem of integro-differential equations with non local conditions in a fuzzy metric space. We first establish the existence, uniqueness and continuous dependence on initial condition of the mild solution. We then examine a special case of non local conditions.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"FUZZY CONFORMABLE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NON-LOCAL CONDITIONS\",\"authors\":\"M. Atraoui, †. Mohamedbouaouid, †. ChanderShekhar\",\"doi\":\"10.46753/pjaa.2022.v09i02.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we consider a conformable fractional Cauchy problem of integro-differential equations with non local conditions in a fuzzy metric space. We first establish the existence, uniqueness and continuous dependence on initial condition of the mild solution. We then examine a special case of non local conditions.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Poincare Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46753/pjaa.2022.v09i02.003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2022.v09i02.003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们考虑了模糊度量空间中具有非局部条件的积分微分方程的保形分数Cauchy问题。我们首先建立了温和解的存在性、唯一性和对初始条件的连续依赖性。然后，我们研究一个非本地条件的特殊情况。

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

FUZZY CONFORMABLE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NON-LOCAL CONDITIONS

. In this paper, we consider a conformable fractional Cauchy problem of integro-differential equations with non local conditions in a fuzzy metric space. We first establish the existence, uniqueness and continuous dependence on initial condition of the mild solution. We then examine a special case of non local conditions.

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

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

CiteScore

0.60

自引率

0.00%

发文量