Analytical investigations of the Sumudu transformand applications to integral production equations

Abstract

The Sumudu transform, whose fundamental properties are presented in this paper, is little known and not widely used. However, being the theoretical dual to the Laplace transform, the Sumudu transform rivals it in problem solving. Having scale and unit-preserving properties, the Sumudu transform may be used to solve problems without resorting to a new frequency domain. Here, we use it to solve an integral production-depreciation problem.

European Option Pricing of Fractional Black-Scholes Model Using Sumudu Transform and its Derivatives

“…For more information and properties of Sumudu transform and its derivatives, [14][15][16][17][18][19]. Actually one can simply prove that there is a big connection between double Sumudu and double Laplace transforms.…”

Classifications and duality relations for several integral transforms

“…Presently, the research on the dualities of different ITs has been discussed, but it is mainly focused on the relations between LT and ST [4,8,12]. In particular, an interesting result discovered by Eltayeb and Kiliçman [4,8,12] was that LT and ST interchange the image of sin(x) and cos(x). In addition, Liang et al [16] graphically illustrated the duality relations of several ITs.…”

On Image Formulae Leading to Fractional Kinetic Equations Solutions via Sumudu Generalized k-Bessel Functions

“…For more details about Sumudu transform, see ( [1][2][3][4][5][6][7][8][9]). The Sumudu transform over the set functions…”