Analysis of some Katugampola fractional differential equations with fractional boundary conditions
type: Item
instance of: scholarly article
title: Analysis of some Katugampola fractional differential equations with fractional boundary conditions
author: Barbara Łupińska
author: Ewa Schmeidel
published in: Mathematical Biosciences and Engineering
publication date: 2022-11-02T00:00:00Z
review text: This paper considers a boundary value problem involving the Katugampola fractional derivatives. By transforming the problem into an equivalent integral equation and utilizing the properties of the associated Green's function, Lyapunov-type inequalities are obtained and then are applied to study the nonexistence of nontrival solutions of the problem.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 7610978
zbMATH Keywords: fractional calculus
zbMATH Keywords: Lyapunov inequality
zbMATH Keywords: Green's function
zbMATH Keywords: fractional differential equations
zbMATH Keywords: Katugampola derivative
MaRDI profile type: Publication
full work available at URL: mbe.2021359
OpenAlex ID: W3197169097
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DOI: 10.3934/MBE.2021359
description: scientific article; zbMATH DE number 7610978