Further properties of the Sumudu transform and its applications

Aṣiru, Muniru A.

doi:10.1080/002073902760047940

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Introduction3

Sumudu Transform2

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2007

2023

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Cited by 90 publications

(71 citation statements)

References 5 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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“…If F (u) be the Sumudu Transform of f (t), then Sumudu transform of the Caputo fractional derivative is given as follows [17] …”

Section: Sumudu Transformmentioning

confidence: 99%

A Study on Temperature-Distribution and Fin Efficiency of Convective Straight Fins With Temperature Dependent Thermal Conductivity of Fractional Order Energy Balance Equation by Using Adomian Decomposition Sumudu Transform Method

Patel¹,

Meher²

2016

Int. J. of Pure and Appl. Math.

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In this study, an attempt has been made to fractionalize the governing energy balance equation and Adomian decomposition Sumudu transform method (ADSTM) is used to solve the nonlinear fractional order energy balance equation to find the temperature distribution and to check the efficiency of convective straight fin with temperature dependent thermal conductivity. The thermal conductivity of the fin material is assumed as a linear function of temperature to find the temperature distribution for different values of thermal conductivity and thermo-geometric fin parameters for fractional as well as for integer order energy balance equation. Finally, the obtained ADSTM results has been compared with Variational Iteration Method (VIM) (Coskun et al., 2008) and Numerical method to check the accuracy of the purposed method.

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“…For further detail and properties about Sumudu transform (M. A. Asiru, 2001;2002;2003;F. B. M. Belgacem, 2003;M.…”

Section: Introductionmentioning

confidence: 99%

“…In (M. A. Asiru, 2002), some fundamental further properties of Sumudu transform were also established.…”

Section: Introductionmentioning

confidence: 99%

On the Solution of Fractional Maxwell Equations by Sumudu Transform

Kılıçman¹,

Gupta²,

Shrama³

2010

JMR

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Further properties of the Sumudu transform and its applications

Cited by 90 publications

References 5 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

A Study on Temperature-Distribution and Fin Efficiency of Convective Straight Fins With Temperature Dependent Thermal Conductivity of Fractional Order Energy Balance Equation by Using Adomian Decomposition Sumudu Transform Method

On the Solution of Fractional Maxwell Equations by Sumudu Transform

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