Solvability of the fuzzy integral equations due to road traffic flow

Document Type : Research Article


1 Department of Traffic Engineering, Amin Police University, Tehran, Iran

2 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.