On a New Integral Transform and Differential Equations | Zendy

Adem Kılıçman | Zendy; Hassan Eltayeb | Zendy

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On a New Integral Transform and Differential Equations

Author(s) -

Adem Kılıçman,

Hassan Eltayeb

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/463579

Subject(s) - mathematics , integral transform , mathematical analysis , ordinary differential equation , integral equation , differential equation , differential (mechanical device) , physics , thermodynamics

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 Watugala to solve some ordinary differential equations in control engineering. Later, it wasproved 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

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