Solution to system of partial fractional differential equations using the fractional exponential operators

被引：27

作者：

Ansari, A. ^{[1
]}

Sheikhani, A. Refahi ^{[2
]}

Najafi, H. Saberi ^{[2
]}

机构：

[1] Shahrekord Univ, Dept Math, Fac Sci, Shahrekord, Iran

[2] Islamic Azad Univ, Dept Math, Lahijan Branch, Lahijan, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 01期

关键词：

Mellin transform; partial fractional differential equation; wright function; eigenvalue of matrix; OPERATIONAL METHODS; POLYNOMIALS;

D O I：

10.1002/mma.1545

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, fractional exponential operator is considered as a general approach for solving partial fractional differential equations. An integral representation for this operator is derived from the Bromwich integral for the inverse Mellin transform. Also, effectiveness of this operator for obtaining the formal solution of system of diffusion equations is discussed. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：119 / 123

页数：5

共 10 条

[1] SOLVING PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS USING THE L-A -TRANSFORM [J].