Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 62, Issue 3, Pages 1046-1054Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2011.03.032
Keywords
Operational matrix; Fractional calculus; Fractional differential equations
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Funding
- Jiangsu Ordinary University Science Research Project [08KJD410002, 09KJB510007]
- Foundation of Nanjing University of Information Science Technology [20080305, 20080256]
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The Riemann-Liouville fractional integral for repeated fractional integration is expanded in block pulse functions to yield the block pulse operational matrices for the fractional order integration. Also, the generalized block pulse operational matrices of differentiation are derived. Based on the above results we propose a way to solve the fractional differential equations. The method is computationally attractive and applications are demonstrated through illustrative examples. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.
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