Introduction:The fuzzy differential equations (FDEs) and integral equations (FIEs) are important part of the fuzzy analysis theory and they play the important role in theory and application in many topics in applied mathematics, in particular in relation to physics, geographic, medical, biology, etc. Aim: In this paper, using two steps Laplace decomposition algorithm, an efficient analytic method for solving weakly singular fuzzy Volterra integral equations is investigated. Materials and Methods:We use parametric form of fuzzy numbers and convert these integral equations into two linear systems of integral equations in the crisp case. Results: The results show the utility and the great potential of this method to solve fuzzy integral equations. Conclusion:In this article, we have considered linear fuzzy Volterra integral equations with weakly singular kernel. We have applied two steps Laplace decomposition algorithm to obtain the unique solution of these integral equations. Two examples illustrated the efficiency of the method.
