A new integral transform and its applications

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• 作者：H.M. SRIVASTAVA ^{harimsri@math.uvic.ca" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Laplace transform ; Sumudu transform ; natural transform ; H-function ; H-transform ; inversion formula ; Parseval-type relationship ; existence theorem ; Borel-D啪rbashjan transform ; Fubini's theorem ; Weierstrass's test ; Heaviside generalized function
• 刊名：Acta Mathematica Scientia
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：35
• 期：6
• 页码：1386-1400
• 全文大小：375 K

文摘

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, include (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.