Solutions of Perturbed Nonlinear Nabla Fractional Difference Equations of Order 0 < α < 1

G.V.S.R.Deekshitulu and J.Jaga

Abstract

The present paper provides methods and suitable criterion that describe the nature and behavior of solutions of nabla fractional difference equations of order 0 < α < 1, without actually constructing or approximating them. Since the existence and uniqueness of solutions of nabla discrete fractional order initial value problems is already guaranteed, we begin with the continuous dependence on the initial conditions and parameters. Next we develop a nonlinear variation of parameters formula and give an example.