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

页数：6

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