Analysis of some Katugampola fractional differential equations with fractional boundary conditions

被引：8

作者：

Lupinska, Barbara ^{[1
]}

Schmeidel, Ewa ^{[1
]}

机构：

[1] Univ Bialystok, Inst Comp Sci, Konstantego Ciolkowskiego 1 M, PL-15245 Bialystok, Poland

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2021年 / 18卷 / 06期

关键词：

fractional calculus; Lyapunov inequality; Green function; fractional differential equations; Katugampola derivative; eigenvalue of fractional differential equation; LYAPUNOV-TYPE INEQUALITY;

D O I：

10.3934/mbe.2021359

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.

引用

页码：7269 / 7279

页数：11

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