Generalized Mittag-Leffler stability of nonlinear fractional regularized Prabhakar differential systems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 665-678 اصل مقاله (580.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.19291.2069 | ||
| نویسندگان | ||
| Shiva Eshaghi* 1؛ Alireza Ansari2؛ Reza Khoshsiar Ghaziani3 | ||
| 1Department of Applied Mathematics and Computer Sciences, Faculty of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord, Iran | ||
| 2Department of Applied Mathematics and Computer Sciences, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran | ||
| 3Department of Applied Mathematics and Computer Sciences, Faculty of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Generalized Mittag-Leffler stability؛ Asymptotic stability؛ Regularized Prabhakar derivative؛ Lyapunov direct method؛ Numerical simulation | ||
| مراجع | ||
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