Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation

Abstract

In this paper,we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them,we prove the variation of constants formula for nabla Riemann- Liouville fractional difference equations.We also present some results concerning the existence and uniqueness of the equation under consideration.

Keywords

• stability of nonlinear fractional difference equation
• riemann-liouville difference operator
• nabla riemann-liouville fractional difference equations