Solutions of General Fractional-Order Differential Equations by Using the Spectral Tau Method

Here, in this article, we investigate the solution of a general family fractional-order differential equations by using spectral Tau method sense Liouville–Caputo type fractional derivatives with linear functional argument. We use Chebyshev polynomials second kind to develop recurrence relation subjected certain initial condition. The behavior approximate series solutions are tabulated and plotted at different values orders ν α. provides an efficient convergent form easily computable coefficients. obtained results show that is remarkably effective convenient finding equations.