Asymptotic and exact fundamental solutions in hereditary media with singular memory kernels
Andrzej J. Hanyga, M. Seredyńska · Quarterly of Applied Mathematics · 2002
A method for constructing time-domain asymptotic solutions of hyperbolic partial differential equations with delay, with singular memory kernels, is presented. The asymptotic solutions are expressed in terms of basis functions that are regularizations of a sequence of distributions related by fractional integration.