Numerical Solutions to Fractional Perturbed Volterra Equations

In the paper, a class of perturbed Volterra equations of convolution type with three kernel functions is considered. The kernel functions gα=tα−1/Γ(α), t>0, α∈[1,2], correspond to the class of equations interpolating heat and wave equations. The results obtained generalize our previous results fr...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.1461-1479-398
Main Authors: Bandrowski, B., Karczewska, A., Rozmej, P.
Format: Article
Language:English
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Summary:In the paper, a class of perturbed Volterra equations of convolution type with three kernel functions is considered. The kernel functions gα=tα−1/Γ(α), t>0, α∈[1,2], correspond to the class of equations interpolating heat and wave equations. The results obtained generalize our previous results from 2010.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/529602