{"title":"Conformable variational iteration method for solving fuzzy variable-order fractional partial differential equations with proportional delay","authors":"Abbas I. Khlaif , Osama H. Mohammed , Moez Feki","doi":"10.1016/j.padiff.2024.101064","DOIUrl":null,"url":null,"abstract":"<div><div>In this study, we use the conformable variational iteration method for solving delay fuzzy variable-order fractional partial differential equations. The fractional order derivative will be taken to be of conformable type. The proposed method provides a sequence of functions which is convergent to the exact solution. We emphasize the power of the method by testing some examples. The conformable variational iteration method, has proven to be highly accurate and dependable in solving non-linear delay fuzzy variable-order fractional partial differential equations.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"13 ","pages":"Article 101064"},"PeriodicalIF":0.0000,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818124004509","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we use the conformable variational iteration method for solving delay fuzzy variable-order fractional partial differential equations. The fractional order derivative will be taken to be of conformable type. The proposed method provides a sequence of functions which is convergent to the exact solution. We emphasize the power of the method by testing some examples. The conformable variational iteration method, has proven to be highly accurate and dependable in solving non-linear delay fuzzy variable-order fractional partial differential equations.