An Appropriate Method to Handle Fuzzy Integro-Differential Equations

Abstract

Several mathematical formulations of physical phenomena under uncertainty contain fuzzy integro-differential equations and due to their frequent appearance in several applied fields, an appropriate method for handling them is presented. Our proposed algorithm is given in detail and it can be treated as the extended form of homotopy perturbation method.We use an accelerating parameter to enhance the rate of convergence of the solution and construction of suitable homotopy facilitates the calculation of approximate solution in the form of convergent series with simple computable components.