Existence results for a class of fractional differential equations with periodic boundary value conditions and with delay
type: Item
instance of: scholarly article
title: Existence results for a class of fractional differential equations with periodic boundary value conditions and with delay
zbMATH Open document ID: 1303.34004
DOI: 10.1155/2013/176180
author: Hadi Karami
author: Azizollah Babakhani
author: D. Baleanu
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We discuss the existence and uniqueness of solution for two types of fractional order ordinary and delay differential equations. Fixed point theorems are the main tool used here to establish the existence and uniqueness results. First we use Banach contraction principle to prove the uniqueness of solution and then Krasnoselskii's fixed point theorem to show the existence of the solution under certain conditions in a Banach space.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6306099
zbMATH Keywords: fixed point theorems
Wikidata QID: Q58915436
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/176180
OpenAlex ID: W2168828252
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description: scientific article; zbMATH DE number 6306099