NUMERICAL SOLUTIONS OF BERNOULLI DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES BY RUNGE-KUTTA TECHNIQUES

Abstract

In this article, we discussed the numerical solution of Brnoulli's equation with fractional derivatives subject to initial value problems by applying 4th order Runge-Kutta, modified Runge-Kutta and Runge-Kutta Mersian methods. Here the solutions of some numerical examples have been obtained with the help of mathematica program as well as we determined the exact analytic solutions.