System of integral equations with modified argument

For a system of nonlinear integral equations, we will use the Perov's theorem fixed point, general data dependence theorem and fiber generalized contraction theorem given by I. A. Rus, in order to establish the conditions concerning existence and uniqueness of the solution in Banach space C([a, b], Rm), the continuous data dependence of the solution and a theorem of differentiability of the solution with respect to parameters a and b. Two examples are also given here.