Solutions of fractional nabla difference equations - existence and uniqueness

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