The approximate solution of nonlinear Fredholm-Volterra integro-differential equations of fractional order

Fractional nonlinear Fredholm-Volterra integro-differential equations are solved by using the Bessel polynomials. At first, we introduced Bessel functions and the transfer matrix basis from Bessel functions to Taylor polynomials. Then, we obtain the operational matrix of fractional order integration and this matrix is utilized to reduce the fractional Fredholm-Volterra integrodifferential equations to system of algebraic equations. The present study in comparison with other methods shows that when these methods are applied to nonlinear FVIDEs of fractional order is more accurate, efficiency and reliability