The (q, h)-Laplace transform on discrete time scales
In this paper, we develop a (q, h)-Laplace transform on specific time scales. We show that the transform is reduced for h = 0 to the q-Laplace transform, reduce for q = 1 to the h-Laplace transform and reduced for q = h = 1 to the Z-transform. Finally, we employ the (q, h)-Laplace transform to produce some key results. (C) 2011 Elsevier Ltd. All rights reserved.
time scales laplace transform delta derivative delta integral