Stability Results for Nonlinear Fractional Differential Equations with Incommensurate Orders

作     者：Shaher Momani Noureddine Djenina Adel Ouannas Iqbal M. Batiha 

作者机构：Department of Mathematics The University of Jordan Amman 11942 Jordan Nonlinear Dynamics Research Center Ajman University Ajman UAE Laboratory of Dynamical Systems and Control University of Larbi Ben M’hidi Oum El-Bouaghi Algeria Department of Mathematics Al Zaytoonah University Amman 11733 Jordan Nonlinear Dynamics Research Center Ajman University Ajman UAE 

出 版 物：《IFAC-PapersOnLine》 

年 卷 期：2024年第58卷第12期

页      面：286-290页

主　　题：Incommensurate order Caputo differential operator Lyapunov function 

摘      要：This paper aims to establish some novel conditions for revealing the stability of nonlinear incommensurate fractional-order systems formulated using Caputo differential operator. This will be accomplished through introducing satisfactory proofs for these conditions with the help of using Lyapunov function method. All theoretical findings will be verified numerically by observing the wished stability is occurring on the systems at hand.