Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions

被引：1

作者：

Srivastava, Satyam narayan ^{[1
]}

Pati, Smita ^{[2
]}

Graef, John r. ^{[3
]}

Domoshnitsky, Alexander ^{[1
]}

Padhi, Seshadev ^{[4
]}

机构：

[1] Ariel Univ, Dept Math, IL-40700 Ariel, Israel

[2] Amity Univ Jharkhand, Dept Zool, Ranchi 834001, India

[3] Univ Tennessee Chattanooga, Dept Math, Chattanooga, TN 37401 USA

[4] Birla Inst Technol, Dept Math, Ranchi 835215, India

来源：

CUBO-A MATHEMATICAL JOURNAL | 2024年 / 26卷 / 02期

关键词：

Fractional integral; Caputo fractional derivative; boundary value problem; existence of solution; Lyapunov inequality; Green's function; POSITIVE SOLUTIONS;

D O I：

10.56754/0719-0646.2602.259

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the authors present three different Lyapunov-type inequalities for a higher-order Caputo fractional differential equation with identical boundary conditions marking the inaugural instance of such an approach in the existing literature. Their findings extend and complement certain prior results in the literature.

引用

页码：259 / 277

页数：19

共 24 条

[1] Positive solutions of two-point boundary value problems for fractional singular differential equations [J].