Generalized Mittag-Leffler stability of nonlinear fractional regularized Prabhakar differential systems

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.

Generalized Mittag-Leffler stability of nonlinear fractional regularized Prabhakar differential systems Keywords:

Generalized Mittag-Leffler stability , Asymptotic stability , Regularized Prabhakar derivative , Lyapunov direct method , Numerical simulation

Generalized Mittag-Leffler stability of nonlinear fractional regularized Prabhakar differential systems authors

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Department of Applied Mathematics and Computer Sciences, Faculty of Mathematical Sciences, Shahrekord University, P.O.Box ۱۱۵, Shahrekord, Iran

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Department of Applied Mathematics and Computer Sciences, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box ۱۱۵, Shahrekord, Iran

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Department of Applied Mathematics and Computer Sciences, Faculty of Mathematical Sciences, Shahrekord University, P.O.Box ۱۱۵, Shahrekord, Iran

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https://civilica.com/doc/1561132

Document National Code:

JR_IJNAA-12-2_052

Index date: 2 December 2022

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Type of center: دانشگاه دولتی

Paper count: 10,949

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