ELZAKI PROJECTED DIFFERENTIAL TRANSFORM METHOD FOR FRACTIONAL ORDER SYSTEM OF LINEAR AND NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

被引：21

作者：

Lu, Dianchen ^{[1
]}

Suleman, Muhammad ^{[1
,2
]}

He, Ji Huan ^{[3
]}

Farooq, Umer ^{[1
,2
]}

Noeiaghdam, Samad ^{[4
]}

Chandio, Farman Ali ^{[5
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang, Jiangsu, Peoples R China

[2] Comsats Inst Informat Technol, Dept Math, Islamabad, Pakistan

[3] Soochow Univ, Natl Engn Lab Modern Silk, Suzhou, Peoples R China

[4] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran

[5] Sindh Agr Univ, Fac Agr Engn, Dept Farm Power & Machinery, Sindh, Pakistan

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2018年 / 26卷 / 03期

关键词：

Elzaki Transform; Fractional Projected Differential Transform Method; Linear and Nonlinear Fractional Differential Equations; Convergent Series; COMPLEX TRANSFORM; HEAT-TRANSFER; SPACE-TIME; MODEL; FLOW;

D O I：

10.1142/S0218348X1850041X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The pivotal aim of this paper is to propose an efficient computational technique, namely, Elzaki fractional projected differential transform method (EFPDTM) to solve the system of linear and nonlinear fractional differential equations. In the EFPDTM process, we investigate the behavior of independent variables for convergent series solution in admissible range. The EFPDTM manipulates and controls the series solution, which rapidly converges to the exact solution in a large admissible domain in a very efficient way. The solution procedure and explanation show the flexible efficiency of the EFPDTM, compared to the other existing classical techniques for solving the system of linear and nonlinear fractional differential equations.

引用

页数：10

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