{"title":"用苏木杜变换法求解均质柳维尔微分方程","authors":"D. S. Bodkhe","doi":"10.56557/ajomcor/2024/v31i18571","DOIUrl":null,"url":null,"abstract":"In this paper, we study the homogeneous Liouville fractional differential equations with constant coefficients. The solutions interms of Mittag-Leffler of homogeneous Liouville fractional differential equations with constant coefficients are obtained by Sumudu transform method (STM). The results obtained by STM are illustrated by examples.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"29 5","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Solution of Homogeneous Liouville Fractional Differential Equations by Sumudu Transform Method\",\"authors\":\"D. S. Bodkhe\",\"doi\":\"10.56557/ajomcor/2024/v31i18571\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the homogeneous Liouville fractional differential equations with constant coefficients. The solutions interms of Mittag-Leffler of homogeneous Liouville fractional differential equations with constant coefficients are obtained by Sumudu transform method (STM). The results obtained by STM are illustrated by examples.\",\"PeriodicalId\":200824,\"journal\":{\"name\":\"Asian Journal of Mathematics and Computer Research\",\"volume\":\"29 5\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Mathematics and Computer Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56557/ajomcor/2024/v31i18571\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Mathematics and Computer Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56557/ajomcor/2024/v31i18571","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Solution of Homogeneous Liouville Fractional Differential Equations by Sumudu Transform Method
In this paper, we study the homogeneous Liouville fractional differential equations with constant coefficients. The solutions interms of Mittag-Leffler of homogeneous Liouville fractional differential equations with constant coefficients are obtained by Sumudu transform method (STM). The results obtained by STM are illustrated by examples.