An operational Haar wavelet method for solving fractional Volterra integral equations

• Autorzy: Habibollah Saeedi , Nasibeh Mollahasani , Mahmoud Mohseni Moghadam , Gennady N. Chuev
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional Volterra integral equation; Abel integral equation; fractional calculus; Haar wavelet method; operational matrices

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2011
• Tom: 21
• Numer: 3
• Strony: 535-547

Daty

wydano

2011

otrzymano

2010-06-16

poprawiono

2010-11-30

Twórcy

autor

Habibollah Saeedi

• Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran
• Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran

autor

Nasibeh Mollahasani

• Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran
• Max Planck Institute for Mathematics in the Sciences (MIS), Inselstrasse 22, Leipzig 04103, Germany

autor

Mahmoud Mohseni Moghadam

• Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran

autor

Gennady N. Chuev

• Max Planck Institute for Mathematics in the Sciences (MIS), Inselstrasse 22, Leipzig 04103, Germany
• Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Pushchino, Moscow Region 142290, Russia

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Identyfikatory

DOI

10.2478/v10006-011-0042-x