A Note on Fractional Sumudu Transform

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: V. G. Gupta, Bhavna Shrama, Adem Kiliçman
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2010/154189
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spelling doaj-d703c19014cc4490a9cd3ccb97ee44ee2020-11-25T00:03:34ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422010-01-01201010.1155/2010/154189154189A Note on Fractional Sumudu TransformV. G. Gupta0Bhavna Shrama1Adem Kiliçman2Department of Mathematics, University of Rajasthan, Jaipur 302055, IndiaDepartment of Mathematics, Shri Balaji Institute of Engineering and Technology, Jaipur 302045, IndiaDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, (UPM), Serdang, Selangor 43400, MalaysiaWe 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.http://dx.doi.org/10.1155/2010/154189
collection DOAJ
language English
format Article
sources DOAJ
author V. G. Gupta
Bhavna Shrama
Adem Kiliçman
spellingShingle V. G. Gupta
Bhavna Shrama
Adem Kiliçman
A Note on Fractional Sumudu Transform
Journal of Applied Mathematics
author_facet V. G. Gupta
Bhavna Shrama
Adem Kiliçman
author_sort V. G. Gupta
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 Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2010-01-01
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.
url http://dx.doi.org/10.1155/2010/154189
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