Abstract and Applied Analysis
Volume 2012 (2012), Article ID 529602, 19 pages
http://dx.doi.org/10.1155/2012/529602
Research Article

Numerical Solutions to Fractional Perturbed Volterra Equations

B. Bandrowski,1 A. Karczewska,1 and P. Rozmej2

1Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland
2Faculty of Physics and Astronomy, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland

Received 8 June 2012; Revised 27 October 2012; Accepted 27 October 2012

Academic Editor: Dumitru Bǎleanu

Copyright © 2012 B. Bandrowski et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In the paper, a class of perturbed Volterra equations of convolution type with three kernel functions is considered. The kernel functions , , , correspond to the class of equations interpolating heat and wave equations. The results obtained generalize our previous results from 2010.