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

Satyam Narayan Srivastava; Smita Pati; John R. Graef; Alexander Domoshnitsky; Seshadev Padhi

doi:10.56754/0719-0646.2602.259

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

Satyam Narayan Srivastava
, Smita Pati
, John R. Graef
, Alexander Domoshnitsky
, Seshadev Padhi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 ap-proach in the existing literature. Their findings extend and complement certain prior results in the literature.

Original language	English
Pages (from-to)	259-277
Number of pages	19
Journal	Cubo
Volume	26
Issue number	2
DOIs	https://doi.org/10.56754/0719-0646.2602.259
State	Published - 1 Aug 2024

Keywords

Caputo fractional derivative
Fractional integral
Green’s function
Lyapunov inequality
boundary value problem
existence of solution

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10.56754/0719-0646.2602.259

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abstract = "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 ap-proach in the existing literature. Their findings extend and complement certain prior results in the literature.",

keywords = "Caputo fractional derivative, Fractional integral, Green{\textquoteright}s function, Lyapunov inequality, boundary value problem, existence of solution",

author = "Srivastava, \{Satyam Narayan\} and Smita Pati and Graef, \{John R.\} and Alexander Domoshnitsky and Seshadev Padhi",

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AU - Domoshnitsky, Alexander

AU - Padhi, Seshadev

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KW - Caputo fractional derivative

KW - Fractional integral

KW - Green’s function

KW - Lyapunov inequality

KW - boundary value problem

KW - existence of solution

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

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Keywords

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