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Solving fractional integral equations by the Haar wavelet method
Authors:Ü Lepik
Institution:Department of Applied Mathematics, University of Tartu, 2 Liivi Str., 50409 Tartu, Estonia
Abstract:Haar wavelets for the solution of fractional integral equations are applied. Fractional Volterra and Fredholm integral equations are considered. The proposed method also is used for analysing fractional harmonic vibrations. The efficiency of the method is demonstrated by three numerical examples.
Keywords:Fractional calculus  Haar wavelets  Integral equations  Fractional vibrations
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