{"title":"fr<s:1>空间中分数阶的随机双曲微分方程","authors":"Mohamed Helal","doi":"10.1515/rose-2023-2021","DOIUrl":null,"url":null,"abstract":"Abstract In the present paper, we provide some existence results for the Darboux problem of partial fractional random differential equations in Fréchet spaces with an application of a generalization of the classical Darbo fixed point theorem and the concept of measure of noncompactness.","PeriodicalId":43421,"journal":{"name":"Random Operators and Stochastic Equations","volume":"67 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Random differential hyperbolic equations of fractional order in Fréchet spaces\",\"authors\":\"Mohamed Helal\",\"doi\":\"10.1515/rose-2023-2021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In the present paper, we provide some existence results for the Darboux problem of partial fractional random differential equations in Fréchet spaces with an application of a generalization of the classical Darbo fixed point theorem and the concept of measure of noncompactness.\",\"PeriodicalId\":43421,\"journal\":{\"name\":\"Random Operators and Stochastic Equations\",\"volume\":\"67 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Random Operators and Stochastic Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/rose-2023-2021\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Operators and Stochastic Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/rose-2023-2021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
Random differential hyperbolic equations of fractional order in Fréchet spaces
Abstract In the present paper, we provide some existence results for the Darboux problem of partial fractional random differential equations in Fréchet spaces with an application of a generalization of the classical Darbo fixed point theorem and the concept of measure of noncompactness.
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