Opuscula Math. 36, no. 2 (2016), 215-238
Solutions of fractional nabla difference equations - existence and uniqueness
Jagan Mohan Jonnalagadda
Abstract. In this article, we discuss existence, uniqueness and dependency of solutions of nonlinear fractional nabla difference equations in a Banach space equipped with a suitable norm, using the contractive mapping approach. As an application of the established results we present and analyse a few examples.
Keywords: nabla difference, exponential function, fixed point, existence, uniqueness, continuous dependence.
Mathematics Subject Classification: 34A08, 39A10, 39A99.