Lyapunov-type inequalities for fractional differential systems with more than three monomials

QI Yong-fang, HAN Li-tao, WEI Xu-ting

doi:10.13371/j.cnki.chin.q.j.m.2018.03.008

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 3: 293 - 301

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.03.008

Lyapunov-type inequalities for fractional differential systems with more than three monomials

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School of Mathematics, Pingxiang University. School of Information, Renmin University of China. School of Mathematics and statistics, Lanzhou Jiaotong University.

HAN Li-tao(corresponding author)(1972-), male, native of Beijing, an associate professor of Renmin University of China, Ph.D., engages in Di®erential theory.

Accepted date: 2017-06-11

Online published: 2020-10-08

Supported by

Supported by the Natural Science Foundation of China(11661065)； the Scientific Research Foundation of Jiangxi Provincial Education Department(GJJ161265)；

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Abstract

This paper presents Lyapunov-type inequalities for fractional differential systems with more than three monomials by using the Gronwall-Inequality and the Greens function.The results of this paper extend the research methods of similar problems and generalize some early conclusions on this topic.In addition,with the help of the results,we can analyze the solution of differential systems.

Key words： Gronwall-Inequality; Lyapunov-type inequality; Fractional di?erential system;Boundary value problem

Cite this article

QI Yong-fang, HAN Li-tao, WEI Xu-ting . Lyapunov-type inequalities for fractional differential systems with more than three monomials[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(3) : 293 -301 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.03.008

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