Integral Transform Method for Solving Time Fractional Systems and Fractional Heat Equation

被引：1
|
作者：
Aghili, A. [1 ]
Masomi, M. R. [1 ]
机构：
[1] Univ Guilan, Fac Math Sci, Dept Math, POB 1841, Rasht, Iran
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2014年 / 32卷 / 01期
关键词：
Caputo fractional derivative; Time fractional heat equation; Laplace transform; Singular integral equation;
D O I：
10.5269/bspm.v32i1.19965
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, time fractional partial differential equation is considered, where the fractional derivative is defined in the Caputo sense. Laplace transform method has been applied to obtain an exact solution. The authors solved certain homogeneous and nonhomogeneous time fractional heat equations using integral transform. Transform method is a powerful tool for solving fractional singular Integro - differential equations and PDEs. The result reveals that the transform method is very convenient and effective.
引用
收藏
页码：305 / 322
页数：18
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