Investigation on the existence of solutions for some nonlinear functional-integral equations Original Research Article

We prove an existence theorem for a nonlinear integral equation which is a Volterra counterpart of an integral equation arising in traffic theory. Using the technique of the measure of noncompactness in Banach algebra, we prove an existence theorem for a nonlinear functional-integral equation. Basic fixed point theorems such as Darbo’s theorem are employed to obtain the aforementioned aims in Banach algebra.