LYAPUNOV TYPE INEQUALITIES FOR NONLINEAR FRACTIONAL HAMILTONIAN SYSTEMS IN THE FRAME OF CONFORMABLE DERIVATIVES

被引：0
|
作者：
Zhang, Q., I [1 ]
Shao, J. I. N. G. [1 ]
机构：
[1] Jining Univ, Dept Math, Qufu 273155, Shandong, Peoples R China
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTING | 2024年 / 7卷 / 03期
关键词：
Lyapunov type inequality; fractional Hamiltonian system; conformable fractional derivative;
D O I：
10.3934/mfc.2023004
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
. Lyapunov type integral inequality is one of the important inequalities in qualitative analysis of differential equations. In this paper, using properties of conformable derivatives and integral, and the solution of initial value problem for conformable fractional differential equation, some new Lyapunov type integral inequalities for higher order nonlinear fractional Hamiltonian systems are obtained, which improve and unify some known results in the literatures.
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页码：284 / 296
页数：13
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