A Survey on Recent Results on Lyapunov-Type Inequalities for Fractional Differential Equations

被引：10

作者：

Ntouyas, Sotiris K. ^{[1
]}

Ahmad, Bashir ^{[2
]}

Tariboon, Jessada ^{[3
]}

机构：

[1] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[3] King Mongkuts Univ Technol North Bangkok, Intelligent & Nonlinear Dynam Innovat, Dept Math, Fac Sci Appl, Bangkok 10800, Thailand

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 05期

关键词：

Lyapunov-type inequality; fractional derivative and integral operators; boundary conditions; eigenvalue problem; Green's function;

D O I：

10.3390/fractalfract6050273

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This survey paper is concerned with some of the most recent results on Lyapunov-type inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions. Our work deals with Caputo, Riemann-Liouville, psi-Caputo, psi Hilfer, hybrid, Caputo-Fabrizio, Hadamard, Katugampola, Hilfer-Katugampola, p-Laplacian, and proportional fractional derivative operators.

引用

页数：35

共 27 条

[1] Lyapunov type inequalities via fractional proportional derivatives and application on the free zero disc of Kilbas-Saigo generalized Mittag-Leffler functions [J].