In this paper, a fundamental solution for the Mindlin plate theory with damping is derived in the Laplace transform domain first time. The applications of this fundamental solution are demonstrated by the method of fundamental solution (MFS). All variables in the time domain can be obtained by the Durbin’s Laplace transform inversion method. Numerical examples demonstrate the accuracy of the me...

In this paper, some new properties of the fundamental solution to the multi-dimensional 1 spaceand time-fractional diffusion-wave equation are deduced. We start with the Mellin-Barnes 2 representation of the fundamental solution that was derived in the previous publications of the 3 author. The Mellin-Barnes integral is used to get two new representations of the fundamental solution 4 in form o...

This paper is the first of a three part series in which we explore geometric and analytic properties Kohn Laplacian its inverse on general quadric submanifolds <mml:mrow class="MJX...