Stability of Nonlinear Fractional Neutral Differential Difference Systems

Stability of fractional neutral systems

*Correspondence: [email protected] 1School of Mathematical Sciences, Anhui University, Hefei, 230039, China 2School of Mathematics, Hefei University of Technology, Hefei, 230009, China Abstract In this paper, we investigate the stability of a class of nonlinear fractional neutral systems. We extend the Lyapunov-Krasovskii approach to nonlinear fractional neutral systems. Necessary and sufficient ...

Stability of nonlinear h-difference systems with n fractional orders

On asymptotic stability of Weber fractional differential systems

In this article, we introduce the fractional differential systems in the sense of the Weber fractional derivatives and study the asymptotic stability of these systems. We present the stability regions and then compare the stability regions of fractional differential systems with the Riemann-Liouville and Weber fractional derivatives.

On asymptotic stability of Prabhakar fractional differential systems

In this article, we survey the asymptotic stability analysis of fractional differential systems with the Prabhakar fractional derivatives. We present the stability regions for these types of fractional differential systems. A brief comparison with the stability aspects of fractional differential systems in the sense of Riemann-Liouville fractional derivatives is also given. 

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.