TY - GEN
A1 - Saeedi, Habibollah
A1 - Mollahasani, Nasibeh
A1 - Mohseni Moghadam, Mahmoud
A1 - Chuev, Gennady N.
A2 - Korbicz, Józef - red.
A2 - Uciński, Dariusz - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
L1 - http://www.zbc.uz.zgora.pl/Content/46938/AMCS_2011_21_3_12.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/46938
KW - fractional Volterra integral equation
KW - Abel integral equation
KW - fractional calculus
KW - Haar wavelet method
KW - operational matrices
T1 - An operational Haar wavelet method for solving fractional Volterra integral equations
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=46938
ER -