On a new integral transform and differential equations
type: Item
instance of: scholarly article
title: On a new integral transform and differential equations
zbMATH Open document ID: 1204.44004
DOI: 10.1155/2010/463579
author: Hassan Eltayeb
author: Adem Kilicman
published in: Mathematical Problems in Engineering
publication date: 2010-09-30T00:00:00Z
review text: Summary: The integral transform method is widely used to solve the several differential equations with the initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform was introduced as a new integral transform by \textit{G. Watugala} [Int. J. Math. Educ. Sci. Technol. 24, 35--43 (1993; Zbl 0768.44003)] to solve some ordinary differential equations in control engineering. Later, it was proved that Sumudu transform has very special and useful properties. In this paper we study this interesting integral transform and its efficiency in solving the linear ordinary differential equations with constant and nonconstant coefficients as well as system of differential equations.
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 5793750
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/463579
OpenAlex ID: W1990725670
Wikidata QID: Q58653103
cites work: Sumudu transform: a new integral transform to solve differential equations and control engineering problems
cites work: Sumudu transform and the solution of integral equations of convolution type
cites work: Further properties of the Sumudu transform and its applications
cites work: Analytical investigations of the Sudumu transform and applications to integral production equations
cites work: A new integral transform and associated distributions
cites work: Q3577326
cites work: Q4220932
cites work: Q3149207
cites work: Q3446193
cites work: Sumudu transform fundamental properties investigations and applications
cites work: Q3151963
cites work: Application of Sumudu transform to partial differential equations
cites work: On the applications of Laplace and Sumudu transforms
cites work: On Sumudu transform and system of differential equations
cites work: An application of double Laplace transform and double Sumudu transform
cites work: Q3520637
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description: scientific article; zbMATH DE number 5793750