Numerical solutions of bernoulli differential equations with fractional derivativesby runge-kutta techniques

الملخص EN

In this article, we are discussing 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.