Abstract
We study an existence result for the following coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions D-0+(alpha)[x (t)/f(t,x), y(t)] = g(t, x(t), y(t)), D-0+(alpha)[y(t)/f(t, y(t), x(t)] = g(t, y(t), x(t), 0 < t < 1, and x(0) = y(0), where 0 alpha is an element of(0, 1) and D-0+(alpha) 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.