Some results of generalization bilateral Laplace transform

Abstract

In this paper, we formulate the N_F^α-Bilateral Laplace transform on time scales, which is a generalization of the α-conformable Laplace transform. The existence theorem is proven, as well as the linearity, absolute and uniform convergence, the N_F^α-Bilateral transform of integral, and the N_F^α-Bilateral transform of derivative.