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Degenerate Sumudu Transform and Its Properties
Version 1
: Received: 23 December 2020 / Approved: 24 December 2020 / Online: 24 December 2020 (13:52:29 CET)
How to cite: Duran, U. Degenerate Sumudu Transform and Its Properties. Preprints 2020, 2020120626. https://doi.org/10.20944/preprints202012.0626.v1 Duran, U. Degenerate Sumudu Transform and Its Properties. Preprints 2020, 2020120626. https://doi.org/10.20944/preprints202012.0626.v1
Abstract
Kim-Kim (Russ. J. Math. Phys. 2017, 24, 241-248) defined the degenerate Laplace transform and investigated some of their certain properties. Motivated by this study, in this paper, we introduce the degenerate Sumudu transform and establish some properties and relations. We derive degenerate Sumudu transforms of power functions, degenerate sine, degenerate cosine, degenerate hyperbolic sine, degenerate hyperbolic cosine, degenerate exponential function, and function derivatives. We also acquire a relationship between degenerate Sumudu transform and degenerate gamma function. Moreover, we investigate a scale preserving theorem for the degenerate Sumudu transform. Furthermore, we show that the degenerate Sumudu transform is the theoretical dual transform to the degenerate Laplace transform.
Keywords
Degenerate exponential function; degenerate gamma function; Sumudu transform; Laplace transform
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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