Some properties of solutions to multiterm fractional boundary value problems with \(p\)-Laplacian operator
type: Item
instance of: scholarly article
title: Some properties of solutions to multiterm fractional boundary value problems with \(p\)-Laplacian operator
zbMATH Open document ID: 1471.34019
DOI: 10.1155/2021/7527306
author: KumSong Jong
author: KyongJun Jang
author: SongGuk Jong
author: Ok Ri
author: Hui-chol Choi
author: Kyongson Jon
published in: Journal of Function Spaces
publication date: 2021-05-17T00:00:00Z
review text: This article deals with a class of multi-point boundary value problems for non-linear multi-term fractional differential equations with \(p\)-Laplacian operator, and is aimed at studying some properties of positive solutions to \(m\)-point boundary value problems in Riemann-Liouville fractional-order sense including the existence, uniqueness, and the continuous dependency on boundary conditions with the help of the well-known contraction mapping principle. This study is organized as follows. Section 2 is devoted to some necessary definitions and preliminary results from fractional calculus and fractional differential equations which will be used to prove the main results. In Section 3, the main results i.e., existence and uniqueness of positive solutions to \(p\)-Laplacian fractional boundary value problem and continuous dependence of them on the perturbations with respect to the coefficients in \(m\)-point boundary conditions are established. Finally, in Section 4, two illustrative examples are provided to demonstrate the efficiency of the established results.
reviewed by: Ismail Huseynov
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7348535
zbMATH Keywords: multi-term fractional differential equations
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: Banach's fixed-point theorem
zbMATH Keywords: \(m\)-point boundary value problem
zbMATH Keywords: Riemann-Liouville fractional derivative
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/7527306
OpenAlex ID: W3155083245
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description: scientific article; zbMATH DE number 7348535