ANALYTICAL INVESTIGATIONS OF THE SUMUDU TRANSFORM AND APPLICATIONS TO INTEGRAL PRODUCTION EQUATIONS

By Fethi Bin Muhammad Belgacem, A. A. Karaballi, Shyam L. Kalla. 2003

349 citations recorded by the source corpus.

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.

Subfields: Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/821ca39ce664d963e5b62d8b4750c89ff6ba1870

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

Citations in the corpus

Sumudu Decomposition Method for Nonlinear Equations (2012, background): “For further detail and properties of this transform, see [10-12].”
ON SOME APPLICATIONS OF A NEW INTEGRAL TRANSFORM (2010, methodology): “Recall the following theorem that was given by Belgacem in [7], where they discussed the Sumudu transform of the derivatives:”
AN APPLICATION OF THE DOUBLE SUMUDU TRANSFORM (2007, methodology): “, [3], showed that the Sumudu transform has deeper connections with the Laplace transform.”
Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform (2013, background): “For further details and properties of Sumudu transform see [31–34].”
A new integral transform and associated distributions (2010, background): “The properties were established in [1], and subsequently applied to PDEs [11,14].”
Application of Shehu transform to Atangana-Baleanu derivatives (2019, background): “Many authors have studied and used this transformation to solve problems in different disciplines of science [3, 5, 6, 8, 9] and [13–15].”
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].”
Sumudu transform fundamental properties investigations and applications. (2006, methodology): “[5], this next theorem was proved by virtue of the LSD between the Sumudu and Laplace transform.”
Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations (2011, background): “For further detail and properties of this transform, see [47-49].”
SOLVING NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS USING THE NDM (2015, background): “1) can be written in the form [4,5]:”
Homotopy Analysis Sumudu Transform Method for Nonlinear Equations (2012, neutral): “For further detail and properties of this transform, see [2,4,5].”