A Semi-Analytical Method for Solving Nonlinear Fractional-Order Swift-Hohenberg Equations

被引：0

作者：

Jasrotia, Shabnam ^{[1
]}

Singh, Prince ^{[1
]}

机构：

[1] Lovely Profess Univ, Sch Chem Engn & Phys Sci, Dept Math, Phagwara 144411, Punjab, India

来源：

CONTEMPORARY MATHEMATICS | 2023年 / 4卷 / 04期

关键词：

fractional-order Swift-Hohenberg (S-H) equations; Liouville-Caputo fractional order derivative; Laplace transform; homotopy perturbation method;

D O I：

10.37256/cm.4420232811

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we find approximate series solutions to fractional-order Swift-Hohenberg equations by using the hybrid method, i.e., accelerated homotopy perturbation transformation method (AHPTM). The accelerated homotopy perturbation method was merged with the Laplace transform to create the proposed method. We also compare the results of our proposed method with the exact solution and demonstrate that it is the useful tool for tackling nonlinear problems of fractional order. Results are presented through graphs using Mathematica software.

引用

页码：1062 / 1075

页数：14

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