This paper is devoted to the study of a nonhomogeneous discrete fractional initial value problem. Using the Laplace transform, we present the existence and uniqueness of the solution. We illustrate the applicability of results by an example.
A. Khastan. H. Azadi. "Existence and uniqueness of solution for a nonhomogeneous discrete fractional initial value problem." Rocky Mountain J. Math. 49 (4) 1237 - 1257, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1237