An Operational Haar Wavelet Method for Solving Fractional Volterra Integral Equations

Authors:
Habibollah Saeedi;Nasibeh Mollahasani;Mahmoud Moghadam;Gennady Chuev
Affiliations:
-;-;Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran;-
Venue:
International Journal of Applied Mathematics and Computer Science - Issues in Advanced Control and Diagnosis
Year:
2011

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Abstract

A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.