Numerical Solutions to Fractional Perturbed Volterra Equations

B. Bandrowski; A. Karczewska; P. Rozmej

doi:10.1155/2012/529602

Abstract and Applied Analysis (Jan 2012)

Numerical Solutions to Fractional Perturbed Volterra Equations

B. Bandrowski,
A. Karczewska,
P. Rozmej

Affiliations

B. Bandrowski: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland
A. Karczewska: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland
P. Rozmej: Faculty of Physics and Astronomy, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland

DOI: https://doi.org/10.1155/2012/529602
Journal volume & issue: Vol. 2012

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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