On Q,? -Differential Transform Method

Abstract

In this study, the differential transform method (DTM) associated with the Hahn difference operator (D-q,D-?) has been examined. The definitions and theorems of the one and two-dimensional q, ?-DTM are introduced. Then, the presented q, ?-DTMs are applied to obtain the analytical or approximation solution of linear or non-linear q, ?-initial value problems consisting of the q, ?-ordinary or q, ?-partial differential equation.