{"title":"用平均原理逼近模糊随机分数阶积分演化方程:理论与应用","authors":"Hafiza Maria Arshad, Ramsha Shafqat","doi":"10.52223/ijam.20222204","DOIUrl":null,"url":null,"abstract":"This paper introduces the averaging principle (AP) as a method for solving fuzzy stochastic fractional integro-evolution equations (FSFIEEs). By making certain assumptions, the solutions of FSFIEEs can be estimated as mean square solutions of averaged fuzzy stochastic systems. This technique simplifies the analysis and comprehension of complex systems that are subject to both randomness and uncertainty.","PeriodicalId":338406,"journal":{"name":"International Journal of Advancements in Mathematics","volume":"458 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximating solutions of fuzzy stochastic fractional integro-evolution equations with the Averaging Principle: Theory and Applications\",\"authors\":\"Hafiza Maria Arshad, Ramsha Shafqat\",\"doi\":\"10.52223/ijam.20222204\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper introduces the averaging principle (AP) as a method for solving fuzzy stochastic fractional integro-evolution equations (FSFIEEs). By making certain assumptions, the solutions of FSFIEEs can be estimated as mean square solutions of averaged fuzzy stochastic systems. This technique simplifies the analysis and comprehension of complex systems that are subject to both randomness and uncertainty.\",\"PeriodicalId\":338406,\"journal\":{\"name\":\"International Journal of Advancements in Mathematics\",\"volume\":\"458 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Advancements in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52223/ijam.20222204\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Advancements in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52223/ijam.20222204","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximating solutions of fuzzy stochastic fractional integro-evolution equations with the Averaging Principle: Theory and Applications
This paper introduces the averaging principle (AP) as a method for solving fuzzy stochastic fractional integro-evolution equations (FSFIEEs). By making certain assumptions, the solutions of FSFIEEs can be estimated as mean square solutions of averaged fuzzy stochastic systems. This technique simplifies the analysis and comprehension of complex systems that are subject to both randomness and uncertainty.
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