Determination of Order in Linear Fractional Differential Equations

被引：0
|
作者：
Mirko D’Ovidio
Paola Loreti
Alireza Momenzadeh
Sima Sarv Ahrab
机构：
[1] Sapienza University of Rome,Department of Basic and Applied Sciences for Engineering (SBAI)
[2] Sapienza University of Rome,Department of Information Engineering, Electronics and Telecommunications (DIET)
来源：
Fractional Calculus and Applied Analysis | 2018年 / 21卷
关键词：
Primary 34A08; Secondary 26A33; 33E12; 34E05; fractional differential equations; Mittag-Leffler type functions; asymptotic analysis; order estimation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The order of fractional differential equations (FDEs) has been proved to be of great importance in an accurate simulation of the system under study. In this paper, the orders of some classes of linear FDEs are determined by using the asymptotic behaviour of their solutions. Specifically, it is demonstrated that the decay rate of the solutions is influenced by the order of fractional derivatives. Numerical investigations are conducted into the proven formulas.
引用
收藏
页码：937 / 948
页数：11
相关论文
共 50 条
  • [31] Linear Stationary Fractional Differential Equations
    Valeriy Nosov
    Jesús Alberto Meda-Campaña
    Fractional Calculus and Applied Analysis, 2019, 22 : 412 - 423
  • [32] Numerical Solution of Non-linear Riccati Differential Equations with Fractional Order
    Jafari, H.
    Tajadodi, H.
    Nazari, H.
    Khalique, C. M.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2010, 11 : 179 - 182
  • [33] Closed-form solution of a class of linear differential equations of fractional order
    Kilbas, AA
    Saigo, M
    DIFFERENTIAL EQUATIONS, 1997, 33 (02) : 194 - 204
  • [34] Series solutions of non-linear Riccati differential equations with fractional order
    Cang, Jie
    Tan, Yue
    Xu, Hang
    Liao, Shi-Jun
    CHAOS SOLITONS & FRACTALS, 2009, 40 (01) : 1 - 9
  • [35] INFINITE ORDER OF GROWTH OF SOLUTIONS TO LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS
    Mahmoudi, Sofiane
    Hamouda, Saada
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2023, 89 : 115 - 124
  • [36] The problem of the initial conditions and their physical meaning in linear differential equations of fractional order
    Giannantoni, C
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 141 (01) : 87 - 102
  • [37] Reduction of order formula and fundamental set of solutions for linear fractional differential equations
    Al-Refai, Mohammed
    APPLIED MATHEMATICS LETTERS, 2018, 82 : 8 - 13
  • [38] FRACTIONAL CHEBYSHEV COLLOCATION METHOD FOR SOLVING LINEAR FRACTIONAL-ORDER DELAY-DIFFERENTIAL EQUATIONS
    Dabiri, Arman
    Butcher, Eric A.
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2017, VOL 6, 2017,
  • [39] A Series of New Chaotic Attractors via Switched Linear Integer Order and Fractional Order Differential Equations
    Xu, Fei
    Cressman, Ross
    Shu, Xiao-Bao
    Liu, Xinzhi
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (01):
  • [40] Sufficient and necessary conditions for oscillation of linear fractional-order delay differential equations
    Meng, Qiong
    Jin, Zhen
    Liu, Guirong
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
12345