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A new integral transform on time scales and its applications.

Ahmed Agwa, Hassan and Mohamed Ali, Fatma and Kilicman, Adem (2012) A new integral transform on time scales and its applications. Advances in Difference Equations, 2012 (60). pp. 1-26. ISSN 1687-1839

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Abstract

Integral transform methods are widely used to solve the several dynamic equations with initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform is introduced in this article as a new integral transform on a time scale to solve a system of dynamic equations. The Sumudu transform on time scale has not been presented before. The results in this article not only can be applied on ordinary differential equations when T=R, difference equations when T=N0, but also, can be applied for q-difference equations when T=qN0, where qN0:={qt:t∈N0 for q>1} or T=qZ¯¯¯:=qZ∪{0} for q > 1 (which has important applications in quantum theory) and on different types of time scales like T=hN0, T=N20 and T=Tn the space of the harmonic numbers. Finally, we give some applications to illustrate our main results.

Item Type:Article
Keyword:Integral transform; Time scales; Dynamic equation.
Faculty or Institute:Faculty of Science
Publisher:Springer Open
DOI Number:10.1186/1687-1847-2012-60
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/1687-1847-2012-60
ID Code:25291
Deposited By: Nur Farahin Ramli
Deposited On:22 Nov 2013 09:04
Last Modified:29 Sep 2015 10:05

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