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Some remarks on the fractional Sumudu transform and applications


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
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