Analytical investigations of the Sumudu transformand applications to integral production equations

Belgacem, Fethi Bin Muhammad; Karaballi, A. A.; Kalla, S. L.

doi:10.1155/s1024123x03207018

Cited by 255 publications

(168 citation statements)

References 3 publications

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“…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.…”

Section: Sumudu Transformmentioning

confidence: 99%

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

Khan¹,

Ansari²

2016

GLM

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Section: Sumudu Transformmentioning

confidence: 99%

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

Khan¹,

Ansari²

2016

GLM

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“…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.…”

Section: Introductionmentioning

confidence: 99%

Classifications and duality relations for several integral transforms

Liang¹,

Gao²,

Su³

et al. 2017

J. Nonlinear Sci. Appl.

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In this paper, we classify several integral transforms into two categories according to the types of their kernel functions and two novel definitions of general integral transforms are suggested. Based on the general integral transforms, some of their basic properties are proved. In addition, the dualities between those two kinds of integral transforms are deducted and discussed in detail. The interesting coupling relations in symmetric form is illustrated graphically. The analysis shows that the classifications are reasonable and the dualities are significant.

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

Section: Introductionmentioning

confidence: 99%

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

Nisar¹,

Ms²,

Belgacem³

2017

Preprint

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Abstract. Recently, representation formulae and monotonicity properties of generalized k-Bessel functions, Wk v,c., were established and studied by SR Mondal [24]. In this paper, we pursue and investigate some of their image formulae. We then extract solutions for fractional kinetic equations, involving Wk v,c, by means of their Sumudu transforms. In the process, Important special cases are then revealed, and analyzed.

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Analytical investigations of the Sumudu transformand applications to integral production equations

Cited by 255 publications

References 3 publications

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

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

Classifications and duality relations for several integral transforms

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

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