Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations

In this work, we discuss the numerical approximate solutions for linear Fredholm fuzzy integro-differential equations via applied an influent effective algorithm, which is called the residual power series (RPS) method. The solution approach can be expressed on Taylor’s smooth formula, whose convenient coefficients can be computed through their residual functions by creating a system of algebraic equations that may be resolved, numerically. Numerical application is given to demonstrate the ability of the RPS method. The results show the effectiveness of the RPS technique.