分数阶偏随机微分方程的一些新的存在性结果和稳定性概念

Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI:10.7862/rf.2016.1

A. Abbas, M. Benchohra, Prof. Dr. Mohamed Abdalla Darwish

{"title":"分数阶偏随机微分方程的一些新的存在性结果和稳定性概念","authors":"A. Abbas, M. Benchohra, Prof. Dr. Mohamed Abdalla Darwish","doi":"10.7862/rf.2016.1","DOIUrl":null,"url":null,"abstract":"In the present paper we provide some existence results and Ulam’s type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompactness and a random fixed point theorem with stochastic domain. AMS Subject Classification: 26A33, 34G20, 34A40, 45N05, 47H10.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations\",\"authors\":\"A. Abbas, M. Benchohra, Prof. Dr. Mohamed Abdalla Darwish\",\"doi\":\"10.7862/rf.2016.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper we provide some existence results and Ulam’s type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompactness and a random fixed point theorem with stochastic domain. AMS Subject Classification: 26A33, 34G20, 34A40, 45N05, 47H10.\",\"PeriodicalId\":345762,\"journal\":{\"name\":\"Journal of Mathematics and Applications\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7862/rf.2016.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/rf.2016.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

摘要

本文利用非紧性测度和随机域上的随机不动点定理，给出了Banach空间上部分分数阶随机微分方程的Darboux问题的存在性结果和Ulam型稳定性概念。AMS学科分类:26A33、34G20、34A40、45N05、47H10。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations

In the present paper we provide some existence results and Ulam’s type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompactness and a random fixed point theorem with stochastic domain. AMS Subject Classification: 26A33, 34G20, 34A40, 45N05, 47H10.

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

Journal of Mathematics and Applications

自引率

0.00%

发文量