Analytical Solutions for Fractional Differential Equations Using a General Conformable Multiple Laplace Transform Decomposition Method

被引：2
作者：
Jia, Honggang [1 ]
机构：
[1] Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 02期
基金：
中国国家自然科学基金;
关键词：
general conformal multiple Laplace transform decomposition method; conformable fractional higher order partial derivative; fractional differential equations; analytical solution;
D O I：
10.3390/sym15020389
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a new analytical technique is proposed for solving fractional partial differential equations. This method is referred to as the general conformal multiple Laplace transform decomposition method. It is a combination of the multiple Laplace transform method and the Adomian decomposition method. The main theoretical results of using this method are presented. In addition, illustrative examples are provided to demonstrate the validity and symmetry of the presented method.
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页数：19
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