Existence Results for a Coupled System of Nonlinear Fractional Hybrid Differential Equations with Homogeneous Boundary Conditions
oleh: Josefa Caballero, Mohamed Abdalla Darwish, Kishin Sadarangani, Wafa M. Shammakh
| Format: | Article |
|---|---|
| Diterbitkan: | Hindawi Limited 2014-01-01 |
Deskripsi
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.