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
  • [1] Comparison principle and stability for a class of stochastic fractional differential equations
    Lu, Yuli
    Yao, Zhangsong
    Zhu, Quanxin
    Yao, Yi
    Zhou, Hongwei
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [2] Comparison principle and stability for a class of stochastic fractional differential equations
    Yuli Lu
    Zhangsong Yao
    Quanxin Zhu
    Yi Yao
    Hongwei Zhou
    Advances in Difference Equations, 2014
  • [3] A GENERAL COMPARISON PRINCIPLE FOR CAPUTO FRACTIONAL-ORDER ORDINARY DIFFERENTIAL EQUATIONS
    Wu, Cong
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (04)
  • [4] A MAXIMUM PRINCIPLE FOR FRACTIONAL DIFFUSION DIFFERENTIAL EQUATIONS
    Chan, C. Y.
    Liu, H. T.
    QUARTERLY OF APPLIED MATHEMATICS, 2016, 74 (03) : 421 - 427
  • [5] Operational solution of fractional differential equations
    Bengochea, Gabriel
    APPLIED MATHEMATICS LETTERS, 2014, 32 : 48 - 52
  • [6] Fractional calculus and symbolic solution of fractional differential equations
    Baumann, G
    Fractals in Biology and Medicine, Vol IV, 2005, : 287 - 298
  • [7] The Averaging Principle for Stochastic Fractional Partial Differential Equations with Fractional Noises
    Jing Yuanyuan
    Li Zhi
    Xu Liping
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021, 34 (01): : 51 - 66
  • [8] Subordination Principle for a Class of Fractional Order Differential Equations
    Bazhlekova, Emilia
    MATHEMATICS, 2015, 3 (02): : 412 - 427
  • [9] An Implementation Solution for Fractional Partial Differential Equations
    Bertrand, Nicolas
    Sabatier, Jocelyn
    Briat, Olivier
    Vinassa, Jean-Michel
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [10] Solution of fractional autonomous ordinary differential equations
    Al-Ahmad, Rami
    Al-Ahmad, Qusai
    Abdelhadi, Ahmad
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 27 (01): : 59 - 64
12345