Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2010/154189 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Fractional derivative; Sumudu transform |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 29 May 2015 07:51 |
| Last Modified: | 27 Nov 2015 08:26 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2010/154189 |
| URI: | http://psasir.upm.edu.my/id/eprint/12764 |
| Statistic Details: | View Download Statistic |
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