Geodesic
Degenerate Sumudu transform and its properties
Filomat, Tome 35 (2021) no. 14, p. 4731

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DOI

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
DOI : 10.2298/FIL2114731D
Classification : 44A10, 44A35, 44A30
Keywords: Degenerate exponential function, degenerate gamma function, Sumudu transform, Laplace transform 
Ugur Duran. Degenerate Sumudu transform and its properties. Filomat, Tome 35 (2021) no. 14, p. 4731 . doi: 10.2298/FIL2114731D
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     title = {Degenerate {Sumudu} transform and its properties},
     journal = {Filomat},
     pages = {4731 },
     year = {2021},
     volume = {35},
     number = {14},
     doi = {10.2298/FIL2114731D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114731D/}
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