Solving Abel integral equations of first kind via fractional calculus

Autor:	Jahanshahi, Salman, Babolian, Esmail, Torres, Delfim F. M., Vahidi, Alireza R.
Rok vydání:	2014
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Numerical Analysis 26A33 45E10
Zdroj:	J. King Saud Univ. Sci. 27 (2015), no. 2, 161--167
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jksus.2014.09.004
Popis:	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. Comment: This is a preprint of a paper whose final and definite form is in Journal of King Saud University (Science), ISSN 1018-3647. Paper submitted 30/Aug/2014; revised 25/Sept/2014; accepted for publication 29/Sept/2014
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.8446 Zobrazit plný text záznamu View this record from Arxiv