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 , , , correspond to the class of equations interpolating heat and wave equations. The results obtained generalize our previous results from 2010.

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Main Authors: B. Bandrowski, A. Karczewska, P. Rozmej
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/529602
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author B. Bandrowski
A. Karczewska
P. Rozmej
author_facet B. Bandrowski
A. Karczewska
P. Rozmej
author_sort B. Bandrowski
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-4e60d781fe2449c2817bd8bc1a8469042025-02-03T01:13:08ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/529602529602Numerical Solutions to Fractional Perturbed Volterra EquationsB. Bandrowski0A. Karczewska1P. Rozmej2Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, PolandFaculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, PolandFaculty of Physics and Astronomy, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, PolandIn 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.http://dx.doi.org/10.1155/2012/529602
spellingShingle B. Bandrowski
A. Karczewska
P. Rozmej
Numerical Solutions to Fractional Perturbed Volterra Equations
Abstract and Applied Analysis
title Numerical Solutions to Fractional Perturbed Volterra Equations
title_full Numerical Solutions to Fractional Perturbed Volterra Equations
title_fullStr Numerical Solutions to Fractional Perturbed Volterra Equations
title_full_unstemmed Numerical Solutions to Fractional Perturbed Volterra Equations
title_short Numerical Solutions to Fractional Perturbed Volterra Equations
title_sort numerical solutions to fractional perturbed volterra equations
url http://dx.doi.org/10.1155/2012/529602
work_keys_str_mv AT bbandrowski numericalsolutionstofractionalperturbedvolterraequations
AT akarczewska numericalsolutionstofractionalperturbedvolterraequations
AT prozmej numericalsolutionstofractionalperturbedvolterraequations