Existence of positive solutions for fractional differential equation with nonlocal boundary condition
type: Item
instance of: scholarly article
title: Existence of positive solutions for fractional differential equation with nonlocal boundary condition
zbMATH Open document ID: 1238.34012
DOI: 10.1155/2011/328394
author: Hongliang Gao
author: Xiaoling Han
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: By using a fixed point theorem, existence of positive solutions for fractional differential equations with nonlocal boundary condition \[ D^\alpha_{0+} u(t) + a(t)f(t, u(t)) = 0, ~0 < t < 1, \] \[ u(0) = 0, ~u(1) = \sum^\infty_{i=1} \alpha_i u(\zeta_i) \] is considered, where \(1 < \alpha \leq 2\) is a real number, \(D^\alpha_{0+}\) is the standard Riemann-Liouville differentiation, and \(\zeta_i \in (0, 1), ~\alpha_i \in [0, \infty)\) with \(\sum^\infty_{i=1} \alpha_i \zeta^{\alpha -1}_i < 1, ~a \in C([0, 1], [0, \infty)),~ f \in C([0, 1] \times [0, \infty), [0, \infty))\).
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6013181
Wikidata QID: Q58686746
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/328394
OpenAlex ID: W2095715642
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description: scientific article; zbMATH DE number 6013181