International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 25, Pages 1577-1598
doi:10.1155/S0161171203209091

Asymptotics of integrodifferential models with integrable kernels

Abstract

The additive decomposition singular perturbation method and the theory of fractional integration are used to study asymptotic solutions of singularly perturbed Volterra integrodifferential equations with kernels having integrable singularity. The validity of the approximation is also demonstrated.