{"title":"α-Sumudu变换的性质及其应用","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":"{\"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}","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}
On Properties of α-Sumudu Transform and Applications
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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