Uniqueness of positive solutions for a perturbed fractional differential equation
type: Item
instance of: scholarly article
title: Uniqueness of positive solutions for a perturbed fractional differential equation
zbMATH Open document ID: 1261.34012
DOI: 10.1155/2012/672543
author: Chen Yang
author: Jie Ming Zhang
published in: Journal of Function Spaces and Applications
publication date: 2013-02-05T00:00:00Z
review text: Summary: We are concerned with the existence and uniqueness of positive solutions for the nonlinear perturbed fractional two-point boundary value problem \[ D^\alpha_{0+} u(t) + f(t, u, u', \dotsc, u^{(n-2)}) + g(t) = 0,\quad 0 < t < 1,\;n - 1 < \alpha \leq n,\;n \geq 2, \] \[ u(0) = u'(0) = \dotsb = u^{(n-2)}(1) = 0, \] where \(D^\alpha_{0+}\) is the standard Riemann-Liouville fractional derivative. Our analysis relies on a fixed-point theorem of generalized concave operators. An example is given to illustrate the main result.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6134547
Wikidata QID: Q58908346
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/672543
OpenAlex ID: W2169911298
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description: scientific article; zbMATH DE number 6134547