A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application

被引：46

作者：

Alquran, Marwan ^{[1
]}

Jaradat, Imad ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan

来源：

NONLINEAR DYNAMICS | 2018年 / 91卷 / 04期

关键词：

Time-fractional Gardner equation; Time-fractional Kawahara equation; Approximate solutions; Generalized Taylor series; PARTIAL-DIFFERENTIAL-EQUATIONS; PREDICTOR-CORRECTOR APPROACH; POWER-SERIES METHOD; GARDNER EQUATION; KAWAHARA EQUATION; SYSTEM; ORDER; WAVES;

D O I：

10.1007/s11071-017-4019-7

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The current work contributes to find a supportive analytical solution of Caputo time-fractional nonlinear equations of the form We proposed a modified version of the generalized Taylor power series method to extract a reliable approximate solution of this problem. Theorems regarding the convergence of the obtained solution are provided. The method is tested on two models of the proposed equation, namely the Caputo time-fractional Gardner and Kawahara equations. Finally, both graphical explanations and tabular analysis are performed to study the accuracy of our suggested scheme, and to study the effects of on the behavior of the obtained solution.

引用

页码：2389 / 2395

页数：7

共 27 条

[1]

Alquran M, 2017, Nonlinear Stud, V24, P235

[2]

Alquran M, 2015, J APPL ANAL COMPUT, V5, P589

[3] Revisited Fisher's equation in a new outlook: A fractional derivative approach [J].