Numerical Solutions to Fractional Perturbed Volterra Equations

Abstract

In the paper, a class of perturbed Volterra equations of convolution type with three kernel functions is considered. The kernel functions $g_{\alpha }=t^{\alpha -1}/\mathrm{\Gamma }(\alpha )$, $t>0$, $\alpha \in [1,2]$, correspond to the class of equations interpolating heat and wave equations. The results obtained generalize our previous results from 2010.