Solvability of the fuzzy integral equations due to road traffic flow

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.

کلیدواژه ها:

Fuzzy integral equations ، traffic flow ، iterative Method