In this paper, we give a new numerical method for solving a linear system of fractional
integro-differential equations. The fractional derivative is considered in the Caputo sense.
The proposed method is least squares method aid of Hermite polynomials. The suggested
method reduces this type of systems to the solution of systems of linear algebraic equations.
To demonstrate the accuracy and applicability of the presented method some test examples
are provided. Numerical results show that this approach is easy to implement and accurate …

In this paper, two numerical methods for solving fractional integro-differential equations are
proposed. The fractional derivative is considered in the Caputo sense. The proposed
methods are least squares method aid of Bernstein polynomials function as the basis. The
proposed method reduces this type of equation into systems to the solution of system of
linear algebraic equations. To demonstrate the accuracy and applicability of the presented
methods some test examples are provided. Numerical results show that this approach is …