A Lyapunov-type inequality with the Katugampola fractional derivative

被引：25
|
作者：
Lupinska, Barbara [1 ]
Odzijewicz, Tatiana [2 ]
机构：
[1] Univ Bialystok, Fac Math & Comp Sci, Bialystok, Poland
[2] Warsaw Sch Econ, Dept Math & Math Econ, Bialystok, Poland
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 18期
关键词：
fractional calculus; fractional differential equations; Katugampola derivative; Lyapunov inequality; STABILITY;
D O I：
10.1002/mma.4782
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we consider the higher order fractional differential equation with derivative defined in the sense of Katugampola. We present some equivalent integral form of the considered boundary value problem and using properties of an appropriateGreen function and prove fractional counterpart of the Lyapunov inequality.
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页码：8985 / 8996
页数：12
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