On the generalized fractional Laplace transform-Reference-Cited by-同舟云学术

On the generalized fractional Laplace transform

Published:2021-04-01 Issue:3 Volume:7 Page:448-460
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Kumar Virendra¹

Affiliation:

1. Formerly Scientist-B, Defence Research and Development Organization , New Delhi , India . Address for correspondence: D-436, Shastri Nagar, Ghaziabad-201002 , India .

Abstract

Abstract In the present paper a generalization of the Laplace transform is introduced and studied. Its inversion formula is also obtained. As an application, we obtain the generalized fractional Laplace transform of a general class of functions and a product of the Fox’s H- function and general class of functions. The results obtained are of general nature and capable of yielding a large number of known or new results as special cases. For illustration, some special cases involving important special functions are mentioned.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2021-0030

Reference35 articles.

1. [1] B. R. Bhonsle, A relation between Laplace and Hankel transforms, Proc. Glasgow Math. Assoc., 5, No. 3 (1962), 114-115.

2. [2] B. R. Bhonsle, A relation between Laplace and Hankel transforms, Math. Japon., 10 (1965), 85-89.

3. [3] A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Transcendental Functions, Vol I, McGraw-Hill Book Company, New York, Toronto and London (1953).

4. [4] A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Transcendental Functions, Vol II, McGraw-Hill Book Company, New york, Toronto and London (1953).

5. [5] A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Transcendental Functions, Vol III, McGraw-Hill Book Company, New york, Toronto and London (1953).

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