Solution of fractional order heat equation via triple Laplace transform in 2 dimensions

被引：27
作者：
Khan, Tahir [1 ]
Shah, Kamal [1 ]
Khan, Amir [2 ]
Khan, Rahmat Ali [1 ]
机构：
[1] Univ Malakand, Dept Math, Chakadara Dir L, Khyber Pakhtunk, Pakistan
[2] Univ Swat, Dept Math & Stat, Swat, Khyber Pakhtunk, Pakistan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 02期
关键词：
Caputo fractional derivative; fractional heat equation; fractional integral; triple laplace transform; DIFFUSION;
D O I：
10.1002/mma.4646
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce the triple Laplace transform for the solution of a class of fractional order partial differential equations. As a consequence, fractional order homogeneous heat equation in 2 dimensions is investigated in detail. The corresponding solution is obtained by using the aforementioned triple Laplace transform, which is the generalization of double Laplace transform. Numerical plots to the concerned solutions are provided to demonstrate our results.
引用
收藏
页码：818 / 825
页数：8
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