Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions

Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions

We study an existence result for the following coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions D0+α[x(t)/f(t,x(t),y(t))]=g(t,x(t),y(t)),D0+αy(t)/f(t,y(t),x(t))=g(t,y(t),x(t)),  0<t<1, and x(0)=y(0)=0, where α∈(0,1) and D0+α denotes the...

Full description

Bibliographic Details
Main Authors: Josefa Caballero, Mohamed Abdalla Darwish, Kishin Sadarangani, Wafa M. Shammakh
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/672167
id doaj-ef41117e0b0c457dbfaee63383b16e3c
record_format Article
spelling doaj-ef41117e0b0c457dbfaee63383b16e3c2020-11-24T22:57:41ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/672167672167Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary ConditionsJosefa Caballero0Mohamed Abdalla Darwish1Kishin Sadarangani2Wafa M. Shammakh3Department of Mathematics, University of Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartment of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, University of Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartment of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, Saudi ArabiaWe study an existence result for the following coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions D0+α[x(t)/f(t,x(t),y(t))]=g(t,x(t),y(t)),D0+αy(t)/f(t,y(t),x(t))=g(t,y(t),x(t)),  0<t<1, and x(0)=y(0)=0, where α∈(0,1) and D0+α denotes the Riemann-Liouville fractional derivative. The main tools in our study are the techniques associated to measures of noncompactness in the Banach algebras and a fixed point theorem of Darbo type.http://dx.doi.org/10.1155/2014/672167
collection DOAJ
language English
format Article
sources DOAJ
author Josefa Caballero
Mohamed Abdalla Darwish
Kishin Sadarangani
Wafa M. Shammakh
spellingShingle Josefa Caballero
Mohamed Abdalla Darwish
Kishin Sadarangani
Wafa M. Shammakh
Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
Abstract and Applied Analysis
author_facet Josefa Caballero
Mohamed Abdalla Darwish
Kishin Sadarangani
Wafa M. Shammakh
author_sort Josefa Caballero
title Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
title_short Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
title_full Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
title_fullStr Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
title_full_unstemmed Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
title_sort existence results for a coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We study an existence result for the following coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions D0+α[x(t)/f(t,x(t),y(t))]=g(t,x(t),y(t)),D0+αy(t)/f(t,y(t),x(t))=g(t,y(t),x(t)),  0<t<1, and x(0)=y(0)=0, where α∈(0,1) and D0+α denotes the Riemann-Liouville fractional derivative. The main tools in our study are the techniques associated to measures of noncompactness in the Banach algebras and a fixed point theorem of Darbo type.
url http://dx.doi.org/10.1155/2014/672167
work_keys_str_mv AT josefacaballero existenceresultsforacoupledsystemofnonlinearfractionalhybriddifferentialequationswithhomogeneousboundaryconditions
AT mohamedabdalladarwish existenceresultsforacoupledsystemofnonlinearfractionalhybriddifferentialequationswithhomogeneousboundaryconditions
AT kishinsadarangani existenceresultsforacoupledsystemofnonlinearfractionalhybriddifferentialequationswithhomogeneousboundaryconditions
AT wafamshammakh existenceresultsforacoupledsystemofnonlinearfractionalhybriddifferentialequationswithhomogeneousboundaryconditions
_version_ 1725649836411191296

Similar Items