An efficient approximate method for solving fractional differential equations by using Bernoulli polynomials

In the current study, the Bernoulli polynomials are used to obtain the numerical solution of fractional differential equations. For the concept of fractional derivative, we will use Caputo sense. Also, the Bernoulli operational matrix of fractional integration is utilized to reduce the problem to a set of algebraic equations. Finally, some examples are included for demonstrate the validity and applicability of our method