106 citations · 213 across the 11 of their papers we have counts for
4 papers · 1 filter
The flaw in the conformable calculus: it is conformable because it is not fractional
Ahmed A. Abdelhakim
We point out a major flaw in the conformable calculus. We demonstrate why it fails at defining a fractional derivative and where exactly these tempting conformability properties co…
Precise interpretation of the conformable fractional derivative
Ahmed A. Abdelhakim
Let . We prove that the existence of the conformable fractional derivative of a function introduced by Khalil et al.…
A critical analysis of the conformable derivative
Ahmed A. Abdelhakim, José A. Tenreiro Machado
We prove that conformable ``fractional" differentiability of a function is nothing else than the classical differentiability. More precis…
On the boundary terms in Hardy's inequalities for functions
Ahmed A. Abdelhakim
With the help of a radially invariant vector field, we derive inequalities of the Hardy kind, with no boundary terms, for functions on bounded star domains. Our results a…