COMPARISON PRINCIPLE AND SOLUTION BOUND OF FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Xu, Yufeng [1 ]
机构：
[1] Cent S Univ, Dept Appl Math, Changsha 410083, Hunan, Peoples R China
来源：
INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2015, VOL 9 | 2016年
关键词：
DIFFUSION; ORDER;
D O I：
暂无
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
The comparison principle of fractional differential equations is discussed in this paper. We obtain two kinds of comparison principle which are related to the functions in the right hand side of equations, and the order of fractional derivative, respectively. By using the comparison principle, the boundedness of fractional Lorenz system and fractional Lorenz-like system are studied numerically. Numerical simulations are carried out which demonstrate our theoretical analysis.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Numerical solution of stochastic fractional differential equations
    Minoo Kamrani
    Numerical Algorithms, 2015, 68 : 81 - 93
  • [22] On the concept of solution for fractional differential equations with uncertainty
    Agarwal, Ravi P.
    Lakshmikantham, V.
    Nieto, Juan J.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) : 2859 - 2862
  • [23] Fractional Block Method for the Solution of Fractional Order Differential Equations
    Noor, N. M.
    Yatim, S. A. M.
    Ibrahim, Z. B.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2024, 18 (01): : 185 - 208
  • [24] On the existence of the solution of Hammerstein integral equations and fractional differential equations
    Mudasir Younis
    Deepak Singh
    Journal of Applied Mathematics and Computing, 2022, 68 : 1087 - 1105
  • [25] On the existence of the solution of Hammerstein integral equations and fractional differential equations
    Younis, Mudasir
    Singh, Deepak
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (02) : 1087 - 1105
  • [26] Sylvester Equations and the numerical solution of partial fractional differential equations
    Harker, Matthew
    O'Leary, Paul
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 293 : 370 - 384
  • [27] Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator
    Wang, Guotao
    Ren, Xueyan
    Baleanu, Dumitru
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (05) : 2646 - 2655
  • [28] Solution of fractional differential equations by using differential transform method
    Arikoglu, Aytac
    Ozkol, Ibrahim
    CHAOS SOLITONS & FRACTALS, 2007, 34 (05) : 1473 - 1481
  • [29] Maximum Principle for Nonlinear Fractional Differential Equations with the Hilfer Derivative
    Elbukhari, Abu Bakr
    Fan, Zhenbin
    Li, Gang
    FRACTAL AND FRACTIONAL, 2023, 7 (07)
  • [30] An averaging principle for fractional stochastic differential equations with Levy noise
    Xu, Wenjing
    Duan, Jinqiao
    Xu, Wei
    CHAOS, 2020, 30 (08)
12345