{"title":"用最优同伦渐近方法求解强非线性分数阶振子问题","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":"{\"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}","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}
Solution Of Strongly Nonlinear Fractional-Order Oscillators Problems By Using The Optimal Homotopy Asymptotic Method
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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