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A note on fractional Sumudu transform

We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relations...

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Main Authors:	Gupta, Vineeta G., Shrama, Bhavna, Kilicman, Adem
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2010
Online Access:	http://psasir.upm.edu.my/id/eprint/12764/1/A%20note%20on%20fractional%20Sumudu%20transform.pdf http://psasir.upm.edu.my/id/eprint/12764/ http://www.hindawi.com/journals/jam/2010/154189/
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id	my.upm.eprints.12764
record_format	eprints
spelling	my.upm.eprints.127642015-11-27T08:26:48Z http://psasir.upm.edu.my/id/eprint/12764/ A note on fractional Sumudu transform Gupta, Vineeta G. Shrama, Bhavna Kilicman, Adem We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations. Hindawi Publishing Corporation 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12764/1/A%20note%20on%20fractional%20Sumudu%20transform.pdf Gupta, Vineeta G. and Shrama, Bhavna and Kilicman, Adem (2010) A note on fractional Sumudu transform. Journal of Applied Mathematics, 2010. art. no. 154189. pp. 1-9. ISSN 1110-757X; ESSN:1687-0042 http://www.hindawi.com/journals/jam/2010/154189/ 10.1155/2010/154189
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
description	We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations.
format	Article
author	Gupta, Vineeta G. Shrama, Bhavna Kilicman, Adem
spellingShingle	Gupta, Vineeta G. Shrama, Bhavna Kilicman, Adem A note on fractional Sumudu transform
author_facet	Gupta, Vineeta G. Shrama, Bhavna Kilicman, Adem
author_sort	Gupta, Vineeta G.
title	A note on fractional Sumudu transform
title_short	A note on fractional Sumudu transform
title_full	A note on fractional Sumudu transform
title_fullStr	A note on fractional Sumudu transform
title_full_unstemmed	A note on fractional Sumudu transform
title_sort	note on fractional sumudu transform
publisher	Hindawi Publishing Corporation
publishDate	2010
url	http://psasir.upm.edu.my/id/eprint/12764/1/A%20note%20on%20fractional%20Sumudu%20transform.pdf http://psasir.upm.edu.my/id/eprint/12764/ http://www.hindawi.com/journals/jam/2010/154189/
_version_	1643825128107147264
score	13.211869

A note on fractional Sumudu transform

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