An operational Haar wavelet method for solving fractional Volterra integral equations

Habibollah Saeedi; Nasibeh Mollahasani; Mahmoud Moghadam; Gennady Chuev

doi:10.2478/v10006-011-0042-x

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An operational Haar wavelet method for solving fractional Volterra integral equations

International Journal of Applied Mathematics and Computer Science

Volume 21 (2011): Issue 3 (September 2011)

By: Habibollah Saeedi, Nasibeh Mollahasani, Mahmoud Moghadam and Gennady Chuev

Open Access

|Sep 2011

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.

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Articles in this issue

DOI: https://doi.org/10.2478/v10006-011-0042-x | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 535 - 547

Published on: Sep 22, 2011

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

fractional Volterra integral equation,

Abel integral equation,

Related subjects:

© 2011 Habibollah Saeedi, Nasibeh Mollahasani, Mahmoud Moghadam, Gennady Chuev, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 21 (2011): Issue 3 (September 2011)