There is more than one reasons. The following are satisfied by  conformable fractional derivative but not by Caputo or Riemann-Liouville.

1- The conformable fractional derivative of a constant is zero.

2- The conformable fractional derivative satisfied the chain rule.

3- The conformable fractional derivative satisfied the product and quotient rules.

Thanks for the answer.

But  some conditions failed like an arbitrary real order derivative of some functions and existence of non local. 

please address above mentioned one.

Thanks and regards,

Krushna

Thanks for the answer.

But  some conditions failed like an arbitrary real order derivative of some functions and existence of non local. 

please address above mentioned one.

Thanks and regards,

Krushna

Thanks Dr Khuddush

Article A critical analysis of the conformable derivative

https://www.degruyter.com/document/doi/10.1515/fca-2019-0016/html