A new application of conformable Laplace decomposition method for fractional Newell-Whitehead-Segel equation

被引：22

作者：

Ayata, Muammer ^{[1
]}

Ozkan, Ozan ^{[1
]}

机构：

[1] Selcuk Univ, Fac Sci, Dept Math, TR-42003 Konya, Turkey

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 06期

关键词：

Conformable fractional derivative; Conformable differential equations; Newell-Whitehead-Segel equation; Amplitude equations; Laplace transform; Adomian decomposition method; DIFFERENTIAL-EQUATIONS; SYSTEM; FORM;

D O I：

10.3934/math.2020474

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, it is the first time that conformable Laplace decomposition method (CLDM) is applied to fractional Newell-Whitehead-Segel (NWS) equation which is one of the most significant amplitude equations in physics. The method consists of the unification of conformable Laplace transform and Adomian decomposition method (ADM) and it is used for finding approximate analytical solutions of linear-nonlinear fractional PDE's. The results show that this CLDM is quite powerful in solving fractional PDE's.

引用

页码：7402 / 7412

页数：11

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