Sumudu transform and the solution of integral equations of convolution type

By M. A. Asiru. 2001

140 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Modeling and Simulation, Signal Processing

View Paper: https://www.semanticscholar.org/paper/fe8930dfcfde0289c73b3c669182b9aa61ad44c1

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In Atomic and Molecular Physics, and Optics

In Modeling and Simulation

In Signal Processing

Citations in the corpus

Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations (2011, background): “For further detail and properties of this transform, see [47-49].”
Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform (2013, background): “For further properties of Sumudu transform and its derivatives, see [36].”
Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets (2014, background): “The Sumudu transforms (ST) had been considered for application to solve differential equations and to deal with control engineering [31–37].”
A note on the comparison between Laplace and Sumudu transforms (2011, background): “The properties were established in [1] and subsequently applied to partial differential equations; see [2], [4], [7] and [9].”
AN APPLICATION OF THE DOUBLE SUMUDU TRANSFORM (2007, methodology): “An ingenious solution to visualizing the Sumudu transform was proposed originally by Watugala [6], and subsequently exploited by Weerakoon [8,9] and Asiru [1,2].”
Homotopy Analysis Sumudu Transform Method for Nonlinear Equations (2012, unknown): “For further detail and properties of this transform, see [2,4,5].”
Sumudu Decomposition Method for Nonlinear Equations (2012, background): “For further detail and properties of this transform, see [10-12].”
The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method (2013, methodology): “The applications followed in three consecutive papers by Asiru dealing with the convolution-type integral equations and the discrete dynamic systems [8, 9].”
Application of He's Homotopy Perturbation Method to Sumudu Transform (2007, methodology): “Arsiru [23,24] applied to integro-differential equations, Watugala [25,26] extended the transform to two variables with emphasis on solution to partial differential equations and applications to engineering control problem, and its fundamentals properties were established by Belgacem et al.”
New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations (2019, background): “In recent years, Sumudu transform has been applied to many real-life problems because of its scale and unit preserving properties ([28][31]).”