Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/14643
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 |
URI: | http://hdl.handle.net/10773/14643 |
DOI: | 10.1016/j.jksus.2014.09.004 |
ISSN: | 1018-3647 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[310]Jahanshahi_Babolian_Torres_Vahidi.pdf | 438.1 kB | Adobe PDF |
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