The existence of positive solutions for fractional differential equations with integral and disturbance parameter in boundary conditions
type: Item
instance of: scholarly article
title: The existence of positive solutions for fractional differential equations with integral and disturbance parameter in boundary conditions
zbMATH Open document ID: 1470.34016
DOI: 10.1155/2014/131548
author: Mei Jia
author: Xiping Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study the existence and nonexistence of the positive solutions for the integral boundary value problem of the fractional differential equations with the disturbance parameter \(a\) in the boundary conditions and the impact of the disturbance parameter \(a\) on the existence of positive solutions. By using the upper and lower solutions method, fixed point index theory and the Schauder fixed point theorem, we obtain sufficient conditions for that the problem has at least one positive solution, two positive solutions and no solutions. Under certain conditions, we also obtain the demarcation point which divides the disturbance parameters into two subintervals such that the boundary value problem has positive solutions for the disturbance parameter in one subinterval while no positive solutions in the other.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 7021775
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/131548
OpenAlex ID: W2028023850
Wikidata QID: Q59035361
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description: scientific article; zbMATH DE number 7021775