STABILITY RESULTS FOR NONLINEAR FRACTIONAL ORDER h-DIFFERENCE SYSTEMS

Stability analysis of fractional-order nonlinear Systems via Lyapunov method

‎In this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov‎ ‎method‎. ‎To examine the obtained results‎, ‎we employe the developed techniques on test examples‎.

Stability of nonlinear h-difference systems with n fractional orders

Asymptotic Stability Results for Nonlinear Fractional Difference Equations

stability analysis of fractional-order nonlinear systems via lyapunov method

‎in this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of lyapunov‎ ‎method‎. ‎to examine the obtained results‎, ‎we employe the developed techniques on test examples‎.

Existence Results for Nonlinear Fractional Difference Equation

This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained. An example is also provided to illustrate our main result.