{"title":"Solutions of Volterra Singular Time-Fractional PIDEs","authors":"M. Al‐Smadi, Omar Abu Arqub, S. Momani","doi":"10.2139/ssrn.3270463","DOIUrl":null,"url":null,"abstract":"In this article, a computational algorithm is proposed for the numerical solutions of Volterra singular fractional partial integro-differential equations. By interrupting the 𝑛-term of exact solutions, numerical solution of nonlinear singular fractional equations of nonhomogeneous function type are studied from mathematical viewpoint. The utilized results show that the present algorithm and simulated annealing provide a good scheduling methodology to such singular equations.","PeriodicalId":106276,"journal":{"name":"CompSciRN: Algorithms (Topic)","volume":"191 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"CompSciRN: Algorithms (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3270463","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, a computational algorithm is proposed for the numerical solutions of Volterra singular fractional partial integro-differential equations. By interrupting the 𝑛-term of exact solutions, numerical solution of nonlinear singular fractional equations of nonhomogeneous function type are studied from mathematical viewpoint. The utilized results show that the present algorithm and simulated annealing provide a good scheduling methodology to such singular equations.