分数阶微分方程弱拓扑下新的存在性结果

Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2023-03-24 DOI:10.31197/atnaa.1235476

Hallaci Ahmed, Professor DR., Krichen Bi̇lel, Mefteh Bi̇lel

{"title":"分数阶微分方程弱拓扑下新的存在性结果","authors":"Hallaci Ahmed, Professor DR., Krichen Bi̇lel, Mefteh Bi̇lel","doi":"10.31197/atnaa.1235476","DOIUrl":null,"url":null,"abstract":"This paper deals with the existence of weak solutions for an initial value problem involving Riemann-Liouville-type fractional derivatives. To this end, we transform the posed problem to a sum of two integral operators, then we apply a variant of Krasnoselskii’s fixed point theorem under weak topology to conclude the existence of weak solutions.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"18 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New existence result under weak topology for fractional differential equations\",\"authors\":\"Hallaci Ahmed, Professor DR., Krichen Bi̇lel, Mefteh Bi̇lel\",\"doi\":\"10.31197/atnaa.1235476\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the existence of weak solutions for an initial value problem involving Riemann-Liouville-type fractional derivatives. To this end, we transform the posed problem to a sum of two integral operators, then we apply a variant of Krasnoselskii’s fixed point theorem under weak topology to conclude the existence of weak solutions.\",\"PeriodicalId\":7440,\"journal\":{\"name\":\"Advances in the Theory of Nonlinear Analysis and its Application\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in the Theory of Nonlinear Analysis and its Application\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31197/atnaa.1235476\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in the Theory of Nonlinear Analysis and its Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31197/atnaa.1235476","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

讨论了一类含有riemann - liouville型分数阶导数的初值问题弱解的存在性。为此，我们将所提问题转化为两个积分算子的和，然后应用弱拓扑下Krasnoselskii不动点定理的一个变体，得出了弱解的存在性。

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

New existence result under weak topology for fractional differential equations

This paper deals with the existence of weak solutions for an initial value problem involving Riemann-Liouville-type fractional derivatives. To this end, we transform the posed problem to a sum of two integral operators, then we apply a variant of Krasnoselskii’s fixed point theorem under weak topology to conclude the existence of weak solutions.

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

Advances in the Theory of Nonlinear Analysis and its Application

自引率

0.00%

发文量