The motivation for this paper comes from other papers treating the fractional derivatives. We introducea new definition of derivative which obeys classical properties including linearity, product rule, quotient rule, power chain Rolle’s theorem, mean value theorem and Taylor series. Usage thedefined is given in example section shows how our can be used solving differential equations. ...

We are motivated to work on this topic by some research papers dealing with fractional derivatives. Using the notion of Conformable Fractional Derivative provided in R. Khalil, M. Al Horani, A. Yousef, and Sababheh [5], we prove certain relevant features Gradient, Divergence, Curl study.