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

Hadi Karami | Zendy; Abolfazl Babakhani | Zendy; Dumitru Băleanu | Zendy

Open Access

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

Author(s) -

Hadi Karami,

Abolfazl Babakhani,

Dumitru Băleanu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/176180

Subject(s) - mathematics , uniqueness , fixed point theorem , picard–lindelöf theorem , banach space , contraction principle , contraction mapping , mathematical analysis , boundary value problem , class (philosophy) , ordinary differential equation , fixed point , c0 semigroup , initial value problem , banach fixed point theorem , differential equation , artificial intelligence , computer science

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

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