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An Operational Haar Wavelet Method for Solving Fractional Volterra Integral Equations.
Habib Allah Saeedi and Nasibeh MollahasaniAbstract
In this work, the Haar wavelet operational matrix of fractional integration is first obtained. Haar wavelet approximating method is then utilized to reduce the fractional Volterra integral equations (which are also called the weakly-singular linear Volterra integral equations) and in particular the Abel integral equations, to a system of algebraic equations. An error bound is estimated and some numerical examples are included to demonstrate the validity and applicability of the method.
- Received:
- 18.12.09
- Published:
- 11.01.10
- MSC Codes:
- 45DXX, 26A33, 65T60
- Keywords:
- Volterra Integra Equation, fractional calculus, Haar Wavelet Method, Operational Matrices