{"title":"On Properties of α-Sumudu Transform and Applications","authors":"","doi":"10.52280/pujm.2021.530901","DOIUrl":null,"url":null,"abstract":"The α-Sumudu transform is defined and its properties are\nproved. α-Sumudu transform of convolution product and composition of\nfunctions is obtained. The α-Sumudu transform of Riemann-Liouville\nintegral and derivatives of fractional order are determined. As an application, the solution of Initial Value Problems with Riemann-Liouville derivative of fractional order is obtained. .","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Punjab University Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52280/pujm.2021.530901","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The α-Sumudu transform is defined and its properties are
proved. α-Sumudu transform of convolution product and composition of
functions is obtained. The α-Sumudu transform of Riemann-Liouville
integral and derivatives of fractional order are determined. As an application, the solution of Initial Value Problems with Riemann-Liouville derivative of fractional order is obtained. .
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