Positive solutions for boundary value problems of fractional differential equation with integral boundary conditions
type: Item
instance of: scholarly article
title: Positive solutions for boundary value problems of fractional differential equation with integral boundary conditions
zbMATH Open document ID: 1391.34018
DOI: 10.1155/2018/6461930
author: Qiao Sun
author: Hongwei Ji
author: Yujun Cui
published in: Journal of Function Spaces
publication date: 2018-05-15T00:00:00Z
review text: Summary: By using two fixed-point theorems on cone, we discuss the existence results of positive solutions for the following boundary value problem of fractional differential equation with integral boundary conditions \[ D_{0^+}^\alpha x(t) + a(t) f(t, x(t)) = 0, \quad t \in(0,1), \quad x(0) = x^\prime(0) = 0, \quad x(1) = \int\limits_0^1 x(t)\, \mathrm dA(t). \]
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6868709
zbMATH Keywords: fixed-point theorems on cone
zbMATH Keywords: positive solutions
zbMATH Keywords: fractional differential equation
zbMATH Keywords: integral boundary conditions
Wikidata QID: Q115243948
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6461930
OpenAlex ID: W2801048372
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description: scientific article; zbMATH DE number 6868709