NEW INTEGRAL TRANSFORM: SHEHU TRANSFORM A GENERALIZATION OF SUMUDU AND LAPLACE TRANSFORM FOR SOLVING DIFFERENTIAL EQUATIONS

被引：111
作者：
Maitama, Shehu [1 ]
Zhao, Weidong [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2019年 / 17卷 / 02期
关键词：
Shehu transform; Fourier integral transform; Laplace transform; natural transform; Sumudu transform; ordinary and partial differential equations; INVERSION;
D O I：
10.28924/2291-8639-17-2019-167
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fourier integral transform and is applied to both ordinary and partial differential equations to show its simplicity, efficiency, and the high accuracy.
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收藏
页码：167 / 190
页数：24
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