Exact Stability and Instability Regions for Two-Dimensional Linear Autonomous Multi-Order Systems of Fractional-Order Differential Equations

被引：0
|
作者：
Oana Brandibur
Eva Kaslik
机构：
[1] West University of Timisoara,Dept. of Mathematics and Computer Science
[2] Institute e-Austria Timisoara,undefined
来源：
Fractional Calculus and Applied Analysis | 2021年 / 24卷
关键词：
Primary 26A33; 34Dxx; Secondary 34A08; 34K37; fractional ordinary differential equations; Caputo derivative; stability; instability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Necessary and sufficient conditions are explored for the asymptotic stability and instability of linear two-dimensional autonomous systems of fractional-order differential equations with Caputo derivatives. Fractional-order-dependent and fractional-order-independent stability and instability properties are fully characterised, in terms of the main diagonal elements of the systems’ matrix, as well as its determinant.
引用
收藏
页码：225 / 253
页数：28
相关论文
共 50 条
  • [41] Operational matrix for multi-order fractional differential equations with hermite polynomials
    Yalman Kosunalp, Hatice
    Gulsu, Mustafa
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2024, 42 (04): : 1050 - 1057
  • [42] On the Hyers-Ulam stability of Riemann-Liouville multi-order fractional differential equations
    Cuong, D. X.
    AFRIKA MATEMATIKA, 2019, 30 (7-8) : 1041 - 1047
  • [43] Exact solutions and finite time stability for higher fractional-order differential equations with pure delay
    Liu, Li
    Dong, Qixiang
    Li, Gang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (02) : 2334 - 2353
  • [44] Properties of fractional-order linear systems: Stability and passivity
    Departamento de Física y Matemáticas, Universidad Iberoamericana, Prol. Paseo de la Reforma 880, México, D.F. 01210, Mexico
    不详
    WSEAS Trans. Circuits Syst., 2007, 5 (459-464): : 459 - 464
  • [45] Solutions of linear uncertain fractional-order delay differential equations
    Wang, Jian
    Zhu, Yuanguo
    SOFT COMPUTING, 2020, 24 (23) : 17875 - 17885
  • [46] On the Stability of Linear Incommensurate Fractional-Order Difference Systems
    Djenina, Noureddine
    Ouannas, Adel
    Batiha, Iqbal M.
    Grassi, Giuseppe
    Pham, Viet-Thanh
    MATHEMATICS, 2020, 8 (10) : 1 - 12
  • [47] Properties of solutions for fractional-order linear system with differential equations
    Wang, Shuo
    Liu, Juan
    Zhang, Xindong
    AIMS MATHEMATICS, 2022, 7 (08): : 15704 - 15713
  • [48] Solutions of linear uncertain fractional-order delay differential equations
    Jian Wang
    Yuanguo Zhu
    Soft Computing, 2020, 24 : 17875 - 17885
  • [49] On the asymptotic stability of linear system of fractional-order difference equations
    Abu-Saris, Raghib
    Al-Mdallal, Qasem
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (03) : 613 - 629
  • [50] On the asymptotic stability of linear system of fractional-order difference equations
    Raghib Abu-Saris
    Qasem Al-Mdallal
    Fractional Calculus and Applied Analysis, 2013, 16 : 613 - 629
12345