# An operational Haar wavelet method for solving fractional Volterra integral equations

Habibollah Saeedi; Nasibeh Mollahasani; Mahmoud Mohseni Moghadam; Gennady N. Chuev

International Journal of Applied Mathematics and Computer Science (2011)

- Volume: 21, Issue: 3, page 535-547
- ISSN: 1641-876X

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topHabibollah Saeedi, et al. "An operational Haar wavelet method for solving fractional Volterra integral equations." International Journal of Applied Mathematics and Computer Science 21.3 (2011): 535-547. <http://eudml.org/doc/208068>.

@article{HabibollahSaeedi2011,

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.},

author = {Habibollah Saeedi, Nasibeh Mollahasani, Mahmoud Mohseni Moghadam, Gennady N. Chuev},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {fractional Volterra integral equation; Abel integral equation; fractional calculus; Haar wavelet method; operational matrices; error bound; numerical examples},

language = {eng},

number = {3},

pages = {535-547},

title = {An operational Haar wavelet method for solving fractional Volterra integral equations},

url = {http://eudml.org/doc/208068},

volume = {21},

year = {2011},

}

TY - JOUR

AU - Habibollah Saeedi

AU - Nasibeh Mollahasani

AU - Mahmoud Mohseni Moghadam

AU - Gennady N. Chuev

TI - An operational Haar wavelet method for solving fractional Volterra integral equations

JO - International Journal of Applied Mathematics and Computer Science

PY - 2011

VL - 21

IS - 3

SP - 535

EP - 547

AB - 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.

LA - eng

KW - fractional Volterra integral equation; Abel integral equation; fractional calculus; Haar wavelet method; operational matrices; error bound; numerical examples

UR - http://eudml.org/doc/208068

ER -

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