Vahid Samadpour Khalifeh Mahaleh - Department of Traffic Engineering, Amin Police University, Tehran, Iran
Reza Ezati - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

In this research, we investigate the fuzzy integral equations related to traffic flow. Using the Banach fixed point theorem, we prove the existence and uniqueness of the solution for such equations. Using the Picard iterative method, we obtain the upper bound for an accurate and approximate solution. Finally, we obtain an error estimation between the exact solution and the solution of the iterative method. Example shows the applicabilityof our results.

Fuzzy integral equations, traffic flow, iterative Method