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.
@article{bwmeta1.element.bwnjournal-article-amcv21i3p535bwm,
author = {Habibollah Saeedi and Nasibeh Mollahasani and Mahmoud Mohseni Moghadam and Gennady N. Chuev},
title = {An operational Haar wavelet method for solving fractional Volterra integral equations},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {21},
year = {2011},
pages = {535-547},
zbl = {1233.65100},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv21i3p535bwm}
}
Habibollah Saeedi; Nasibeh Mollahasani; Mahmoud Mohseni Moghadam; Gennady N. Chuev. An operational Haar wavelet method for solving fractional Volterra integral equations. International Journal of Applied Mathematics and Computer Science, Tome 21 (2011) pp. 535-547. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv21i3p535bwm/
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