Existence of three solutions for a nonlinear fractional boundary value problem via a critical points theorem
type: Item
instance of: scholarly article
title: Existence of three solutions for a nonlinear fractional boundary value problem via a critical points theorem
zbMATH Open document ID: 1253.34008
DOI: 10.1155/2012/963105
author: Chuanzhi Bai
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: This paper is concerned with the existence of three solutions to a nonlinear fractional boundary value problem as follows: \((d/dt)((1/2)_0 D^{\alpha - 1}_t (^C_0D^\alpha_t u(t)) - (1/2)_t D^{\alpha - 1}_T(^C_tD^\alpha_T u(t))) + \lambda a(t)f(u(t)) = 0\), a.e. \(t \in [0, T], u(0) = u(T) = 0\), where \(\alpha \in (1/2, 1]\), and \(\lambda\) is a positive real parameter. The approach is based on a critical-points theorem established by G. Bonanno.
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6116482
zbMATH Keywords: nonlinear fractional boundary value problem
Wikidata QID: Q58697192
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/963105
OpenAlex ID: W2113343819
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description: scientific article; zbMATH DE number 6116482