Fractional Variational Iteration Method and Adomian's Decomposition Method: Applications to Fractional Burgers Kuramoto KdV Equation via Hadamard Derivative

被引：0

作者：

Hichem, Djeriba ^{[1
]}

Kacem, Belghaba ^{[1
]}

机构：

[1] Univ Oran I, Lab Math & Its Applicat, Oran, Algeria

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2021年 / 12卷 / 02期

关键词：

Fractional Burgers Kuramoto KdV equation; Hadamard fractional; Variational iteration method; Fractional calculus; Adomian's decomposition method;

D O I：

10.26713/cma.v12i2.1505

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents the analytical solutions of the Fractional Burgers Kuramoto KdV equation by the variational iteration method and Adomian's decomposition method using Hadamard fractional derivative. By using initial conditions, the explicit solutions of the Burgers Kuramoto Kdv equation have been presented. The fractional derivatives are considered according to the Hadamard's approach. Two examples are given for illustrate to implement variational iteration method and Adomian's decomposition method for fractional Burgers Kuramoto KdV equation.

引用

页码：241 / 251

页数：11

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