{"title":"求解分数阶积分微分方程的Sumudu变换迭代法","authors":"Eman Abuteen","doi":"10.53799/ajse.v21i3.435","DOIUrl":null,"url":null,"abstract":"In this paper, we discussed a new Sumudu transform iterative method and successfully applied on linear and nonlinear fractional integro-differential equations. The obtained results are compatible with those that have been obtained by other methods. The fractional derivative here is described in the Caputo sense. The proposed method is found to be powerful and efficient.","PeriodicalId":224436,"journal":{"name":"AIUB Journal of Science and Engineering (AJSE)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Adaptation of Sumudu Transform Iterative Method for Solving Fractional Integro-Differential Equations\",\"authors\":\"Eman Abuteen\",\"doi\":\"10.53799/ajse.v21i3.435\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we discussed a new Sumudu transform iterative method and successfully applied on linear and nonlinear fractional integro-differential equations. The obtained results are compatible with those that have been obtained by other methods. The fractional derivative here is described in the Caputo sense. The proposed method is found to be powerful and efficient.\",\"PeriodicalId\":224436,\"journal\":{\"name\":\"AIUB Journal of Science and Engineering (AJSE)\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"AIUB Journal of Science and Engineering (AJSE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53799/ajse.v21i3.435\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"AIUB Journal of Science and Engineering (AJSE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53799/ajse.v21i3.435","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Adaptation of Sumudu Transform Iterative Method for Solving Fractional Integro-Differential Equations
In this paper, we discussed a new Sumudu transform iterative method and successfully applied on linear and nonlinear fractional integro-differential equations. The obtained results are compatible with those that have been obtained by other methods. The fractional derivative here is described in the Caputo sense. The proposed method is found to be powerful and efficient.