用最优同伦渐近方法求解强非线性分数阶振子问题

2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI) Pub Date : 2021-09-21 DOI:10.1109/ICRAMI52622.2021.9585990

Ghenaiet Bahia, Ouannas Adel

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引用次数: 0

摘要

大多数高分数阶强非线性振子没有精确的解析解。因此，这项工作提供了一种近似方法，称为最优同伦渐近方法(OHAM)，以提供具有分数阶导数的强振子的近似解析解。最后给出了一个算例，证明了OHAM是一种控制近似解收敛性的可靠方法。

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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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2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)

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