Numerical solution of nonlinear Fredholm integro-differential equations of fractional order by triangular functions

In this paper, a class of nonlinear Fredholm integro-differential equations of fractional order are considered. They have been solved by triangular functions method combining with its operational matrices. The main purpose of this technique is to transform the initial equation into a system of nonlinear algebraic equations. Then, by solving this system, we obtain the approximate solution of the main problem. In addition, we solve an example by the proposed method and by Haar wavelets method. Also, approximate solutions are compared with the exact solution.