Fractional green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics

被引：43

作者：

Momani S. ^{[1
,2
]}

Odibat Z.M. ^{[3
,4
]}

机构：

[1] Department of Mathematics, Mutah University, Al-Karak

[2] Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa' Applied University, Salt

来源：

Journal of Applied Mathematics and Computing | 2007年 / 24卷 / 1-2期

关键词：

Caputo derivative; Fractional differential equations; Fractional Green function; Wright function;

D O I：

10.1007/BF02832308

中图分类号：

学科分类号：

摘要：

This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The fractional derivatives are described in the Caputo sense. The fractional Green function method is used to obtain solutions for time-fractional wave equation, linearized time-fractional Burgers equation, and linear time-fractional KdV equation. The new approach introduces a promising tool for solving fractional partial differential equations. © 2007 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

引用

页码：167 / 178

页数：11

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