LYAPUNOV-TYPE INEQUALITY FOR CERTAIN HALF-LINEAR LOCAL FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS

被引：1
|
作者：
Liu, Haidong [1 ]
Wang, Jingjing [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年 / 32卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Lyapunov Inequality; Half-Linear Differential Equation; Local Fractional Derivative; SERIES EXPANSION METHOD; INTEGRAL-INEQUALITIES; TRANSFORM;
D O I：
10.1142/S0218348X23401175
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish a Lyapunov-type inequality for the half-linear local fractional ordinary differential equation based on the formulation of the local fractional derivative. In addition, we apply the inequality to investigate the non-existence and uniqueness of solutions for related homogeneous and non-homogeneous local fractional boundary value problems.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] LYAPUNOV-TYPE INEQUALITIES FOR CERTAIN HIGHER-ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS
    Liu, Haidong
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (04): : 1159 - 1170
  • [2] Lyapunov-type Inequalities for Certain Higher Order Fractional Differential Equations
    Peng, You-Hua
    Wang, Xu-Huan
    3RD ANNUAL INTERNATIONAL CONFERENCE ON MODERN EDUCATION AND SOCIAL SCIENCE (MESS 2017), 2017, 135 : 933 - 938
  • [3] LYAPUNOV-TYPE INEQUALITIES FOR LOCAL FRACTIONAL DIFFERENTIAL SYSTEMS
    Qi, Yongfang
    Li, Liangsong
    Wang, Xuhuan
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (07)
  • [4] LYAPUNOV-TYPE INEQUALITIES FOR A CLASS OF LINEAR SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS
    Peng, Youhua
    Wang, Xuhuan
    DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (04): : 859 - 867
  • [5] Refinement of a Lyapunov-Type Inequality for a Fractional Differential Equation
    Xiao, Hongying
    Li, Zhaofeng
    Zhang, Yuanyuan
    Liu, Xiaoyou
    SYMMETRY-BASEL, 2024, 16 (08):
  • [6] Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions
    Rong, Ji
    Bai, Chuanzhi
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 10
  • [7] Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions
    Ji Rong
    Chuanzhi Bai
    Advances in Difference Equations, 2015
  • [8] Lyapunov-type inequalities for fractional partial differential equations
    Jleli, Mohamed
    Kirane, Mokhtar
    Samet, Bessem
    APPLIED MATHEMATICS LETTERS, 2017, 66 : 30 - 39
  • [9] A LYAPUNOV-TYPE INEQUALITY FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH HADAMARD DERIVATIVE
    Ma, Qinghua
    Ma, Chao
    Wang, Jinxun
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (01): : 135 - 141
  • [10] Lyapunov-type inequalities for (m+1) th order half-linear differential equations with anti-periodic boundary conditions
    Wang, Youyu
    Cui, Yujiao
    Li, Yannan
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (14) : 1 - 7
12345