{"title":"Solution Of Strongly Nonlinear Fractional-Order Oscillators Problems By Using The Optimal Homotopy Asymptotic Method","authors":"Ghenaiet Bahia, Ouannas Adel","doi":"10.1109/ICRAMI52622.2021.9585990","DOIUrl":null,"url":null,"abstract":"The majority of strongly nonlinear oscillators of higher fractional order do not have accurate analytical solution. As a result, this work provides an approximate approach, known as the optimal homotopy Asymptotic Method (OHAM) to provide approximate analytic solution of strongly oscillators having fractional derivatives. We give an exemple to show that the OHAM is a reliable approach to control the convergence of approximate solution.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICRAMI52622.2021.9585990","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
The majority of strongly nonlinear oscillators of higher fractional order do not have accurate analytical solution. As a result, this work provides an approximate approach, known as the optimal homotopy Asymptotic Method (OHAM) to provide approximate analytic solution of strongly oscillators having fractional derivatives. We give an exemple to show that the OHAM is a reliable approach to control the convergence of approximate solution.
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