Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with Delay

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 so...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2013; no. 2013; pp. 204 - 211-120
Main Authors Karami, Hadi, Baleanu, Dumitru, Babakhani, Azizollah
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2013
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Subjects
Banach space
Delay
Differential equations
Existence theorems
Theorems
Uniqueness
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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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/176180