Extension of Definition of First Order Derivative (First Principle) to Obtain New Definition of Conformable Fractional Derivative

Rajratana Maroti Kamble, Zampalwad S. S

Abstract: In this paper we define new definition conformable fractional derivative and verify its validity for Linearity property, product rule, Quotient rule, and verify derivative of some Standard function. The definition satisfies the previous results for ordinary derivative and derivative of some standard function. This definition coinside with the classical definition of first order derivative.

Keywords: fractional derivative, new definition of conformable fractional derivative