Boundedness of Solutions of Conformable Fractional Equations of Perturbed Motion*

被引：1

作者：

Martynyuk, A. A. ^{[1
]}

Martynyuk-Chernienko, Yu. A. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, 3 Nesterov St, UA-03057 Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2020年 / 56卷 / 05期

关键词：

nonlinear conformable fractional system of equations; method of integral inequalities; boundedness of solutions; DIFFERENTIAL-EQUATIONS; STABILITY ANALYSIS;

D O I：

10.1007/s10778-020-01035-5

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The results of analyzing the boundedness of the solutions of nonlinear systems with conformable fractional derivative of the state vector are discussed. The solutions are estimated and their boundedness conditions are established using the method of integral inequalities. Systems subject to constant perturbations are considered as an example.

引用

页码：572 / 580

页数：9

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