A FRACTIONAL MULTITERM GRONWALL LEMMA AND ITS APPLICATION TO THE STABILITY OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

被引:3
|
作者
Idczak, Dariusz [1 ]
机构
[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland
关键词
Gronwall lemma; fractional calculus; integrodifferential equation; stability analysis; IMPLICIT FUNCTION THEOREM; EXISTENCE; EQUATIONS;
D O I
10.1216/jie.2020.32.447
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We derive a fractional multiterm Gronwall lemma and use it to study the stability of the Cauchy problem for a general fractional integrodifferential system of Volterra type.
引用
收藏
页码:447 / 456
页数:10
相关论文
共 50 条
  • [41] Stability of fractional state space system and its application to fractional order chaotic system
    Huang Li-Lian
    He Shao-Jie
    ACTA PHYSICA SINICA, 2011, 60 (04)
  • [42] The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems
    Baleanu, Dumitru
    Nazemi, Sayyedeh Zahra
    Rezapour, Shahram
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [43] FRACTIONAL INPUT STABILITY AND ITS APPLICATION TO NEURAL NETWORK
    Sene, Ndolane
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 853 - 865
  • [44] Existence and stability of impulsive coupled system of fractional integrodifferential equations
    Zada, Akbar
    Waheed, Hira
    Alzabut, Jehad
    Wang, Xiaoming
    DEMONSTRATIO MATHEMATICA, 2019, 52 (01) : 296 - 335
  • [45] Stability Results of Some Fractional Neutral Integrodifferential Equations with Delay
    Ben Makhlouf, Abdellatif
    El-hady, El-sayed
    Boulaaras, Salah
    Mchiri, Lassaad
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [46] STOCHASTIC GRONWALL LEMMA AND APPLICATION TO A STABILITY THEOREM FOR STOCHASTIC DIFFERENTIAL-EQUATIONS
    METIVIER, M
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 289 (04): : 287 - 290
  • [47] Existence and controllability of higher-order nonlinear fractional integrodifferential systems via fractional resolvent
    Haq, Abdul
    Sukavanam, Nagarajan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (16) : 9034 - 9048
  • [48] On Solutions of Fractional Integrodifferential Systems Involving ψ-Caputo Derivative and ψ-Riemann-Liouville Fractional Integral
    Boulares, Hamid
    Moumen, Abdelkader
    Fernane, Khaireddine
    Alzabut, Jehad
    Saber, Hicham
    Alraqad, Tariq
    Benaissa, Mhamed
    MATHEMATICS, 2023, 11 (06)
  • [49] STABILITY OF NON-LINEAR SYSTEMS VIA BELLMAN-GRONWALL LEMMA
    ANSARI, JS
    JOURNAL OF THE INDIAN INSTITUTE OF SCIENCE SECTION A-ENGINEERING & TECHNOLOGY, 1978, 60 (07): : 293 - 298
  • [50] A NEW GRONWALL-BELLMAN TYPE INTEGRAL INEQUALITY AND ITS APPLICATION TO FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATION
    Rafeeq, Sobia
    Hussain, Sabir
    DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (02): : 259 - 273