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Bandrowski, B.; Karczewska, A.; Rozmej, P.

Numerical solutions to fractional perturbed Volterra equations. (English) Zbl 1259.65210

Abstr. Appl. Anal. 2012, Article ID 529602, 19 p. (2012).
Summary: A class of perturbed Volterra equations of convolution type with three kernel functions is considered. The kernel functions \(g_\alpha = t^{\alpha - 1}/\Gamma(\alpha)\), \(t > 0\), \(\alpha \in [1, 2]\), correspond to the class of equations interpolating heat and wave equations. The results obtained generalize our previous results from 2010.

Cited in 2 Documents

MSC:

65R20 Numerical methods for integral equations
45D05 Volterra integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
26A33 Fractional derivatives and integrals

Keywords:

fractional perturbed Volterra equations; perturbed Volterra equations of convolution type
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References:

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