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

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

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

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10.56754/0719-0646.2602.259

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

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

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AU - Padhi, Seshadev

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KW - Caputo fractional derivative

KW - existence of solution

KW - Fractional integral

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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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