Modified Sumudu Transform and Its Properties

Ugur Duran

doi:10.20944/preprints202012.0614.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 24 December 2020 / Approved: 24 December 2020 / Online: 24 December 2020 (09:45:36 CET)

Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations. Motivated by this work, in this paper, we define modified Sumudu transform and investigate many properties and relations including modified Sumudu transforms of the power function, sine, cosine, hyperbolic sine, hyperbolic cosine, exponential function, and function derivatives. Moreover, we attain two shifting properties and a scale preserving theorem for the modified Sumudu transform. We give modified inverse Sumudu transform and investigate some relations and examples. Furthermore, we show that the modified Sumudu transform is the theoretical dual transform to the modified Laplace transform.

Gamma function, Sumudu transform, Laplace transform, convolution

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Modified Sumudu Transform and Its Properties

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