Bernoulli operational matrix of fractional derivative for solution of fractional di_erential equations

الملخص EN

The aim of this paper is to present a numerical method based on Bernoulli polynomials for numerical solutions of fractional di erential equations(FDEs).

The Bernoulli operational matrix of fractional derivatives[31] is derived and used together with tau and collocation methods to reduce the FDEs to a system of algebraic equations.

Hence, the solutions obtained using this method give good approximations.

Illustrative examples are included to demonstrate the validity and applicability of the proposed method.