Published in
Hindawi, Mathematical Problems in Engineering, (2013), p. 1-11, 2013
DOI: 10.1155/2013/981526
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Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind
Journal article published in 2013 by
Abdon Atangana 
,
Necdet Bildik
,
Necdet Bildik
This paper is made freely available by the publisher.
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Abstract
This work presents the possible generalization of the Volterra integral equation second kind to the concept of fractional integral. Using the Picard method, we present the existence and the uniqueness of the solution of the generalized integral equation. The numerical solution is obtained via the Simpson 3/8 rule method. The convergence of this scheme is presented together with numerical results.