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Title: Solving Abel integral equations of first kind via fractional calculus
Author: Jahanshahi, S.
Babolian, E.
Torres, D. F. M.
Vahidi, A.
Keywords: Abel integral equation
Caputo fractional derivatives
Fractional integrals
Singular integral equations
Issue Date: Apr-2015
Publisher: Elsevier
Abstract: We give a new method for numerically solving Abel integral equations of first kind. An estimation for the error is obtained. The method is based on approximations of fractional integrals and Caputo derivatives. Using trapezoidal rule and Computer Algebra System Maple, the exact and approximation values of three Abel integral equations are found, illustrating the effectiveness of the proposed approach.
Peer review: yes
DOI: 10.1016/j.jksus.2014.09.004
ISSN: 1018-3647
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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