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 50 条

[21] Lyapunov-type Inequalities for Differential Equations
Antonio Cañada
Juan A. Montero
Salvador Villegas
Mediterranean Journal of Mathematics, 2006, 3 : 177 - 187
[22] Lyapunov inequality for a Caputo fractional differential equation with Riemann-Stieltjes integral boundary conditions
Srivastava, Satyam Narayan
Pati, Smita
Padhi, Seshadev
Domoshnitsky, Alexander
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (12) : 13110 - 13123
[23] Riemann zeta function and Lyapunov-type inequalities for certain higher order differential equations
Watanabe, Kohtaro
Yamagishi, Hiroyuki
Kametaka, Yoshinori
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3950 - 3953
[24] Fractional boundary value problems and Lyapunov-type inequalities with fractional integral boundary conditions
Dhar, Sougata
Kong, Qingkai
McCabe, Michael
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (43) : 1 - 16
[25] Lyapunov-type inequalities for Hadamard fractional differential equation under Sturm-Liouville boundary conditions
Wang, Youyu
Zhang, Lu
Zhang, Yang
AIMS MATHEMATICS, 2021, 6 (03): : 2981 - 2995
[26] A Survey on Recent Results on Lyapunov-Type Inequalities for Fractional Differential Equations
Ntouyas, Sotiris K.
Ahmad, Bashir
Tariboon, Jessada
FRACTAL AND FRACTIONAL, 2022, 6 (05)
[27] Lyapunov-type inequalities for Hilfer fractional boundary value problems
Jonnalagadda, Jagan Mohan
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024, 17 (02)
[28] Lyapunov-type inequalities for partial differential equations
de Napoli, Pablo L.
Pinasco, Juan P.
JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (06) : 1995 - 2018
[29] Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach
Jleli, Mohamed
O'Regan, Donal
Samet, Bessem
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (02)
[30] Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach
Mohamed Jleli
Donal O’Regan
Bessem Samet
Journal of Fixed Point Theory and Applications, 2019, 21

← 1 2 3 4 5 →