numerical solution of time fractional cable equation via the sinc-bernoulli collocation method

An important equation usually used in modeling neuronal dynamics is cable equation. in this work, a numerical method for the fractional cable equation which involves two riemannliouville fractional derivatives is proposed. our computational technique is based on collocation idea where a combination of bernoulli polynomials and sinc functions are used to approximate the solution to this problem. the constructed approximation by our method convert the fractional cable equation into a set of algebraic equations. also, we provide two numerical examples to confirm the accuracy and effectiveness of the present method.