关于广义分数拉普拉斯变换

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2021-04-30 DOI:10.2478/mjpaa-2021-0030

Virendra Kumar

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引用次数: 1

摘要

摘要本文介绍并研究了拉普拉斯变换的一个推广。并得到了它的反演公式。作为一个应用，我们得到了一类一般函数的广义分数拉普拉斯变换，以及Fox的H-函数和一般函数类的乘积。所获得的结果具有一般性质，能够作为特例产生大量已知或新的结果。为了举例说明，我们提到了一些涉及重要特殊功能的特殊情况。

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On the generalized fractional Laplace transform

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.

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来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks