Title of article :
Generalized Mittag-Leffler stability of nonlinear fractional regularized Prabhakar differential systems
Author/Authors :
Eshaghi, Shiva Department of Applied Mathematics and Computer Sciences - Faculty of Mathematical Sciences - Shahrekord University, Shahrekord , Ansari, Alireza Department of Applied Mathematics and Computer Sciences - Faculty of Mathematical Sciences - Shahrekord University, Shahrekord , Khoshsiar Ghaziani, Reza Department of Applied Mathematics and Computer Sciences - Faculty of Mathematical Sciences - Shahrekord University, Shahrekord
Abstract :
This work is devoted to study of the stability analysis of generalized fractional nonlinear system including the regularized Prabhakar derivative. We present several criteria for the generalized Mittag-Leffler stability and the asymptotic stability of this system by using the Lyapunov direct method. Further, we provide two test cases to illustrate the effectiveness of results. We apply the numerical method to solve the generalized fractional system with the regularized Prabhakar fractional systems and reveal asymptotic stability behavior of the presented systems by employing numerical simulation.
Keywords :
Generalized Mittag-Leffler stability , Asymptotic stability , Regularized Prabhakar derivative , Lyapunov direct method , Numerical simulation
Journal title :
International Journal of Nonlinear Analysis and Applications
