A NEW INTEGRAL TRANSFORM AND ITS APPLICATIONS

In the present paper, the authors introduce a new integral transform which yields a number of potentially useful （known or new） integral transfoms as its special cases. Many fundamental results about this new integral transform, which are established in this paper, in- clude （for example） existence...

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Published in:Acta mathematica scientia 2015-11, Vol.35 (6), p.1386-1400
Main Authors: SRIVASTAVA, H.M., LUO, Minjie, RAINA, R.K.
Format: Article
Language:English
Subjects:
33C60
44A10
44A20
al型
Borel-Džrbashjan transform
existence theorem
Fubini's theorem
H-function
H-transform
Heaviside generalized function
H变换
inversion formula
Laplace transform
natural transform
Parseval-type relationship
Sumudu transform
Weierstrass's test
反演公式
存在性定理
应用
微分方程
积分变换
积分恒等式
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cites cdi_FETCH-LOGICAL-c370t-4e350f99fc87005d7eb91f61b483ad7d2ae3e33e917a0d190475c536f070a4873
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LUO, Minjie
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description In the present paper, the authors introduce a new integral transform which yields a number of potentially useful （known or new） integral transfoms as its special cases. Many fundamental results about this new integral transform, which are established in this paper, in- clude （for example） existence theorem, Parseval-type relationship and inversion formula. The relationship between the new integral transform with the H-function and the H-transform are characterized by means of some integral identities. The introduced transform is also used to find solution to a certain differential equation. Some illustrative examples are also given.
doi_str_mv 10.1016/S0252-9602(15)30061-8
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1572-9087
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source ScienceDirect Freedom Collection; Springer Link
subjects 33C60
44A10
44A20
al型
Borel-Džrbashjan transform
existence theorem
Fubini's theorem
H-function
H-transform
Heaviside generalized function
H变换
inversion formula
Laplace transform
natural transform
Parseval-type relationship
Sumudu transform
Weierstrass's test
反演公式
存在性定理
应用
微分方程
积分变换
积分恒等式
title A NEW INTEGRAL TRANSFORM AND ITS APPLICATIONS
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