具有希尔弗分数阶导数的随机微分内含物

IF 0.5 Q3 MATHEMATICS

Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI:10.52846/ami.v49i1.1524

Meryem Chaouche, Toufik Guendouzi

{"title":"具有希尔弗分数阶导数的随机微分内含物","authors":"Meryem Chaouche, Toufik Guendouzi","doi":"10.52846/ami.v49i1.1524","DOIUrl":null,"url":null,"abstract":"In this paper, we study the existence of mild solutions of Hilfer fractional stochastic differential inclusions driven by sub fractional Brownian motion in the cases when the multivalued map is convex and non convex. The results are obtained by using fixed point theorem. Finally an example is given to illustrate the obtained results.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stochastic differential inclusions with Hilfer fractional derivative\",\"authors\":\"Meryem Chaouche, Toufik Guendouzi\",\"doi\":\"10.52846/ami.v49i1.1524\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the existence of mild solutions of Hilfer fractional stochastic differential inclusions driven by sub fractional Brownian motion in the cases when the multivalued map is convex and non convex. The results are obtained by using fixed point theorem. Finally an example is given to illustrate the obtained results.\",\"PeriodicalId\":43654,\"journal\":{\"name\":\"Annals of the University of Craiova-Mathematics and Computer Science Series\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of the University of Craiova-Mathematics and Computer Science Series\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52846/ami.v49i1.1524\",\"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":"Annals of the University of Craiova-Mathematics and Computer Science Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52846/ami.v49i1.1524","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

在多值映射为凸和非凸的情况下，研究了次分数阶布朗运动驱动的Hilfer分数阶随机微分内含的温和解的存在性。利用不动点定理得到了结果。最后给出了一个算例来说明所得结果。

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

Stochastic differential inclusions with Hilfer fractional derivative

In this paper, we study the existence of mild solutions of Hilfer fractional stochastic differential inclusions driven by sub fractional Brownian motion in the cases when the multivalued map is convex and non convex. The results are obtained by using fixed point theorem. Finally an example is given to illustrate the obtained 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

Annals of the University of Craiova-Mathematics and Computer Science Series MATHEMATICS-

CiteScore

1.10

自引率

10.00%

发文量