Citation
Kilicman, Adem and Altun, Omer
(2014)
Some remarks on the fractional Sumudu transform and applications.
Applied Mathematics & Information Sciences, 8 (6).
pp. 2881-2888.
ISSN 1935-0090; ESSN: 2325-0399
Abstract
In this work we study fractional order Sumudu transform. In the development of the definition we use fractional analysis based on the modified Riemann - Liouville derivative, then we name the fractional Sumudu transform. We also establish a relationship between fractional Laplace and Sumudu via 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 |
| Publisher: | Natural Sciences Publishing |
| Keywords: | Sumudu transform; Fractional differential operator; Mittag-Leffler function |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 26 Apr 2016 02:04 |
| Last Modified: | 26 Oct 2017 10:03 |
| URI: | http://psasir.upm.edu.my/id/eprint/35420 |
| Statistic Details: | View Download Statistic |
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