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.
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页数：6
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