This paper introduces the α-Laplace Elzaki transform, a significant generaliza- tion of the nabla version on time scales. This transform rigorously established the fundamental properties, including the existence theorem, linearity, and the convolution theorem. Additionally, we derive the key derivative characteristics that underpin its functionality. The α-Laplace Elzaki transform combines tech- niques for discrete, continuous, and hybrid systems and is a powerful approach for solving partial dynamic equations over time scales.