Two Reliable Methods for The Solution of Fractional Coupled Burgers' Equation Arising as a Model of Polydispersive Sedimentation

被引：30

作者：

Kurt, Ali ^{[1
]}

Senol, Mehmet ^{[2
]}

Tasbozan, Orkun ^{[3
]}

Chand, Mehar ^{[4
]}

机构：

[1] Pamukkale Univ, Fac Sci & Art, Dept Math, Denizli, Turkey

[2] Nevsehir Haci Bektas Veli Univ, Fac Sci & Art, Dept Math, Nevsehir, Turkey

[3] Mustafa Kemal Univ, Fac Sci & Art, Dept Math, Antakya, Turkey

[4] Baba Farid Coll, Dept Math, Bathinda, India

来源：

APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2019年 / 4卷 / 02期

关键词：

Fractional Coupled Burger's Equation; Conformable Fractional Derivative; Perturbation-Iteration Algorithm; Exp-Function Method;

D O I：

10.2478/AMNS.2019.2.00049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we attain new analytical solution sets for nonlinear time-fractional coupled Burgers' equations which arise in polydispersive sedimentation in shallow water waves using exp-function method. Then we apply a semi-analytical method namely perturbation-iteration algorithm (PIA) to obtain some approximate solutions. These results are compared with obtained exact solutions by tables and surface plots. The fractional derivatives are evaluated in the conformable sense. The findings reveal that both methods are very effective and dependable for solving partial fractional differential equations.

引用

页码：523 / 534

页数：12

共 44 条

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