Studying the Ito ̃ ’s formula for some stochastic differential equation: (Quotient stochastic differential equation)

Abstract

The aim of this paper is to study Ito ̃ ’s formula for some stochastic differential equation such as quotient stochastic differential equation, by using the function F (t, x (t)) which satisfies the product Ito’s formula, then we find some calculus relation for the quotient stochastic differential equation and we generalize the method for all m supported by some examples to explain the method.