{"title":"Regularization Method for Nonlinear Singularly Perturbed Systems of Fractional Order","authors":"B. Kalimbetov, R. Turgunbaev","doi":"10.24203/AJFAM.V6I3.5598","DOIUrl":null,"url":null,"abstract":"The paper is devoted to construction of an asymptotic solution of a weakly nonlinear singularly perturbed differential system of fractional order. To construct the asymptotic solution we use ideas of normal differential forms method of V.F. Safonov. In the environment of the computer mathematical system Maple, approximate solutions are calculated, and corresponding solution schedules for various values of a small parameter are constructed.","PeriodicalId":446683,"journal":{"name":"Asian Journal of Fuzzy and Applied Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Fuzzy and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24203/AJFAM.V6I3.5598","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The paper is devoted to construction of an asymptotic solution of a weakly nonlinear singularly perturbed differential system of fractional order. To construct the asymptotic solution we use ideas of normal differential forms method of V.F. Safonov. In the environment of the computer mathematical system Maple, approximate solutions are calculated, and corresponding solution schedules for various values of a small parameter are constructed.
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