Periodic boundary value problems for semilinear fractional differential equations
type: Item
instance of: scholarly article
title: Periodic boundary value problems for semilinear fractional differential equations
zbMATH Open document ID: 1264.34012
DOI: 10.1155/2012/746872
author: Jia Mu
author: Yongxiang Li
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We study the periodic boundary value problem for semilinear fractional differential equations in an ordered Banach space. The method of upper and lower solutions is then extended. The results on the existence of minimal and maximal mild solutions are obtained by using the characteristics of positive operators semigroup and the monotone iterative scheme. The results are illustrated by means of a fractional parabolic partial differential equations.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 6173543
Wikidata QID: Q58911720
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/746872
OpenAlex ID: W2090111075
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description: scientific article; zbMATH DE number 6173543