{"title":"用同调扰动苏木杜变换法求解模糊分式热方程","authors":"Gethsi Sharmila, Luvis Savla","doi":"10.59461/ijitra.v2i4.62","DOIUrl":null,"url":null,"abstract":"This paper extents the Homotopy Perturbation Sumudu Transform Method (HPSTM) to solve fuzzy fractional heat equations. To illustrate the reliability of the method, some examples are presented. The results reveal that HPSTM is a highly effective scheme for obtaining approximate analytical solutions of fuzzy fractional heat equations. Figures and numerical examples demonstrate the expertise of the suggested approach. This method is applied for both linear and nonlinear ordinary and partial FFDEs. The proposed approach is rapid, exact, and simple to apply and produce excellent outcomes.","PeriodicalId":187267,"journal":{"name":"International Journal of Information Technology, Research and Applications","volume":"28 6‐7","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"SOLVING FUZZY FRACTIONAL HEAT EQUATION USING HOMOTOPY PERTURBATION SUMUDU TRANSFORM METHOD\",\"authors\":\"Gethsi Sharmila, Luvis Savla\",\"doi\":\"10.59461/ijitra.v2i4.62\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper extents the Homotopy Perturbation Sumudu Transform Method (HPSTM) to solve fuzzy fractional heat equations. To illustrate the reliability of the method, some examples are presented. The results reveal that HPSTM is a highly effective scheme for obtaining approximate analytical solutions of fuzzy fractional heat equations. Figures and numerical examples demonstrate the expertise of the suggested approach. This method is applied for both linear and nonlinear ordinary and partial FFDEs. The proposed approach is rapid, exact, and simple to apply and produce excellent outcomes.\",\"PeriodicalId\":187267,\"journal\":{\"name\":\"International Journal of Information Technology, Research and Applications\",\"volume\":\"28 6‐7\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Information Technology, Research and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.59461/ijitra.v2i4.62\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Information Technology, Research and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.59461/ijitra.v2i4.62","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper extents the Homotopy Perturbation Sumudu Transform Method (HPSTM) to solve fuzzy fractional heat equations. To illustrate the reliability of the method, some examples are presented. The results reveal that HPSTM is a highly effective scheme for obtaining approximate analytical solutions of fuzzy fractional heat equations. Figures and numerical examples demonstrate the expertise of the suggested approach. This method is applied for both linear and nonlinear ordinary and partial FFDEs. The proposed approach is rapid, exact, and simple to apply and produce excellent outcomes.
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