Numerical solution of time fractional cable equation via the Sinc-Bernoulli collocation method

An important equation usually used in modeling neuronal dynamics isthe cable equation. In this work, a numerical method for the fractionalcable equation which involves two Riema-Liouville fractionalderivatives is proposed. Our computational technique is based ona collocation idea where a combination of Beoulli polynomialsand 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.