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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
80/2009

An Operational Haar Wavelet Method for Solving Fractional Volterra Integral Equations.

Habib Allah Saeedi and Nasibeh Mollahasani

Abstract

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:
Dec 18, 2009
Published:
Jan 11, 2010
MSC Codes:
45DXX, 26A33, 65T60
Keywords:
Volterra Integra Equation, fractional calculus, Haar Wavelet Method, Operational Matrices

Related publications

inJournal
2011 Journal Open Access
Habibollah Saeedi, Nasibeh Mollahasani, Mahmoud Mohseni Moghadam and Gennady N. Chuev

An operational Haar wavelet method for solving fractional Volterra integral equations

In: International journal of applied mathematics and computer science, 21 (2011) 3, pp. 535-547