On asymptotic stability of Prabhakar fractional differential systems

被引：0
|
作者：
Derakhshan, Mohammad Hossein [1 ]
Darani, Mohammadreza Ahmadi [1 ]
Ansari, Alireza [1 ]
Ghaziani, Reza Khoshsiar [1 ]
机构：
[1] Shahrekord Univ, Dept Appl Math, Fac Math Sci, POB 115, Shahrekord, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2016年 / 4卷 / 04期
关键词：
Asymptotically stable; Prabhakar fractional derivative; Generalized Mittag-Leffler function; Riemann-Liouville fractional derivative;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：276 / 284
页数：9
相关论文
共 50 条
  • [1] Stability region of fractional differential systems with Prabhakar derivative
    Alidousti, Javad
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 62 (1-2) : 135 - 155
  • [2] Stability region of fractional differential systems with Prabhakar derivative
    Javad Alidousti
    Journal of Applied Mathematics and Computing, 2020, 62 : 135 - 155
  • [3] Stability and dynamics of neutral and integro-differential regularized Prabhakar fractional differential systems
    Eshaghi, Shiva
    Ghaziani, Reza Khoshsiar
    Ansari, Alireza
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
  • [4] Stability and dynamics of neutral and integro-differential regularized Prabhakar fractional differential systems
    Shiva Eshaghi
    Reza Khoshsiar Ghaziani
    Alireza Ansari
    Computational and Applied Mathematics, 2020, 39
  • [5] On asymptotic stability of Weber fractional differential systems
    Derakhshan, Mohammad Hossein
    Ansari, Alireza
    Darani, Mohammadreza Ahmadi
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2018, 6 (01): : 30 - 39
  • [6] Generalized Mittag-Leffler stability of nonlinear fractional regularized Prabhakar differential systems
    Eshaghi, Shiva
    Ansari, Alireza
    Ghaziani, Reza Khoshsiar
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 665 - 678
  • [7] Stability of fractional-order systems with Prabhakar derivatives
    Garrappa, Roberto
    Kaslik, Eva
    NONLINEAR DYNAMICS, 2020, 102 (01) : 567 - 578
  • [8] Stability of fractional-order systems with Prabhakar derivatives
    Roberto Garrappa
    Eva Kaslik
    Nonlinear Dynamics, 2020, 102 : 567 - 578
  • [9] Fractional Fourier Transform to Stability Analysis of Fractional Differential Equations with Prabhakar Derivatives
    Deepa, S.
    Ganesh, A.
    Ibrahimov, V.
    Santra, S. S.
    Govindan, V.
    Khedher, K. M.
    Noeiaghdam, S.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2022, 12 (02): : 131 - 153
  • [10] Analytical Study to Systems of Fractional Differential Equations with Prabhakar Derivative
    Namarneh, Tariq E.
    Al-Refai, Mohammed
    IFAC PAPERSONLINE, 2024, 58 (12): : 155 - 160
12345