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2014 Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
Josefa Caballero, Mohamed Abdalla Darwish, Kishin Sadarangani, Wafa M. Shammakh
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/672167

Abstract

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.

Citation

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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." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/672167

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022848
MathSciNet: MR3240553
Digital Object Identifier: 10.1155/2014/672167

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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