A New Integral Transform: ARA Transform and Its Properties and Applications

被引：54
|
作者：
Saadeh, Rania [1 ]
Qazza, Ahmad [1 ]
Burqan, Aliaa [1 ]
机构：
[1] Zarqa Univ, Dept Math, Zarqa 13132, Jordan
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 06期
关键词：
ARA transform; Fourier transform; Laplace transform; Sumudu transform; Elzaki transform; Mellin transform; Natural transform; Yang transform; Shehu transform; Novel transform; Ordinary differential equation; Integral equation;
D O I：
10.3390/sym12060925
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, we introduce a new type of integral transforms, called the ARA integral transform that is defined as: G(n)vertical bar g(t)vertical bar(s) = G(n, s) = s integral(infinity)(0) t(n-1)e(-st)g(t)dt, s > 0. We prove some properties of ARA transform and give some examples. Also, some applications of the ARA transform are given.
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页数：15
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