Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 216, Issue 8, Pages 2276-2285Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.03.063
Keywords
Operational matrix; Haar wavelet; Fractional calculus; Fractional order differential equations
Categories
Funding
- Foundation of NUIST [20080305, 20080256]
- Jiangsu Ordinary University [08KJD410002, 09KJB510007]
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Haar wavelet operational matrix has been widely applied in system analysis, system identification, optimal control and numerical solution of integral and differential equations. In the present paper we derive the Haar wavelet operational matrix of the fractional order integration, and use it to solve the fractional order differential equations including the Bagley-Torvik, Ricatti and composite fractional oscillation equations. The results obtained are in good agreement with the existing ones in open literatures and it is shown that the technique introduced here is robust and easy to apply. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
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