Nontrivial solutions for a class of fractional differential equations with integral boundary conditions and a parameter in a Banach space with lattice
type: Item
instance of: scholarly article
title: Nontrivial solutions for a class of fractional differential equations with integral boundary conditions and a parameter in a Banach space with lattice
zbMATH Open document ID: 1257.35195
DOI: 10.1155/2012/391609
author: Xingqiu Zhang
author: Lin Wang
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: Existence of nontrivial solutions for the following fractional differential equation with integral boundary conditions \(D^\alpha_{0+}u(t) + h(t)f(t, u(t)) = 0\), \(0 < t < 1\), \(u(0) = u'(0) = u''(0) = 0\), \(u(1) = \lambda \int^\eta_0 u(s)\text{d}s\) is investigated by using results for the computation of topological degree under the lattice structure, where \(3 < \alpha \leq 4\), \(0 < \eta \leq 1\), \(0 \leq \lambda \eta^\alpha / \alpha < 1\), \(D^\alpha_{0+}\) is the standard Riemann-Liouville derivative. \(h(t)\) is allowed to be singular at \(t = 0\) and \(t = 1\).
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 46B42
zbMATH DE Number: 6134077
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/391609
OpenAlex ID: W2081972895
Wikidata QID: Q58696500
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description: scientific article; zbMATH DE number 6134077