1Department of Mathematics, Western Kentucky University, Bowling Green, KY, 42101-3576, USA. E-mail: ferhan.atici@wku.edu
2University of Dayton, Department of Mathematics, Dayton, Ohio, 45469-2316, USA. E-mail: Paul.Eloe@notes.udayton.edu
AMS subject classification: 39A12, 26A33.
We begin with an introduction to a calculus of fractional finite differences. We extend the discrete Laplace transform to develop a discrete transform method. We define a family of finite fractional difference equations and employ the transform method to obtain solutions.
Discrete fractional calculus, finite fractional difference equation, La-place transform on time scales
