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A new integral transform on time scales and its applications.

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 syste...

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Main Authors: Ahmed Agwa, Hassan, Mohamed Ali, Fatma, Kilicman, Adem
Format: Article
Language:English
English
Published: Springer Open 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25291/1/A%20new%20integral%20transform%20on%20time%20scales%20and%20its%20applications.pdf
http://psasir.upm.edu.my/id/eprint/25291/
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spelling my.upm.eprints.252912015-09-29T02:05:23Z http://psasir.upm.edu.my/id/eprint/25291/ A new integral transform on time scales and its applications. Ahmed Agwa, Hassan Mohamed Ali, Fatma Kilicman, Adem 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. Springer Open 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25291/1/A%20new%20integral%20transform%20on%20time%20scales%20and%20its%20applications.pdf 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 10.1186/1687-1847-2012-60 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description 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.
format Article
author Ahmed Agwa, Hassan
Mohamed Ali, Fatma
Kilicman, Adem
spellingShingle Ahmed Agwa, Hassan
Mohamed Ali, Fatma
Kilicman, Adem
A new integral transform on time scales and its applications.
author_facet Ahmed Agwa, Hassan
Mohamed Ali, Fatma
Kilicman, Adem
author_sort Ahmed Agwa, Hassan
title A new integral transform on time scales and its applications.
title_short A new integral transform on time scales and its applications.
title_full A new integral transform on time scales and its applications.
title_fullStr A new integral transform on time scales and its applications.
title_full_unstemmed A new integral transform on time scales and its applications.
title_sort new integral transform on time scales and its applications.
publisher Springer Open
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/25291/1/A%20new%20integral%20transform%20on%20time%20scales%20and%20its%20applications.pdf
http://psasir.upm.edu.my/id/eprint/25291/
_version_ 1643828617432530944
score 13.211869

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