Nothing to do that I can see.

All physical measurements are local.

Not sure if the above observation, by Poincare, has a connexion with fractional derivatives.

Cf. summary below for entangled Josephson junctions.

http://dx.doi.org/10.13140/RG.2.2.36133.63209/1

No, the use of fractional derivatives in quantum physics is not directly related to non-locality in quantum entanglement states.

Fractional calculus, which involves fractional derivatives and integrals, is a mathematical framework that generalizes the standard calculus operations of differentiation and integration to non-integer orders. It has been used in various areas of physics, including quantum mechanics, to model complex phenomena that cannot be described by integer-order differential equations.

Non-locality in quantum entanglement, on the other hand, is a property of quantum mechanics in which two or more particles can become entangled in such a way that the state of one particle depends on the state of another, even if they are far apart. This phenomenon has been observed experimentally and is an important aspect of quantum mechanics. However, it is not directly related to the use of fractional calculus in quantum physics.

Thanks for your information. All measurements in physics in local but fractional derivatives are non-local.

While non-locality in quantum entanglement is a non-local phenomenon in quantum physics, it is not directly related to the use of fractional derivatives. Quantum entanglement, a consequence of the superposition principle and the non-local nature of quantum mechanics, arises when the properties of two or more particles become correlated in such a way that the state of one particle cannot be described independently of the other particles, regardless of the distance between them.

Fractional derivatives can be employed in some aspects of quantum physics to model anomalous behavior or systems with memory effects, but their use is not directly linked to the phenomenon of quantum entanglement

The word fractional is used in physics, for example "fractional quantum hall

effect-" but has nothing to do with the usage in mathematics. Actually I

would be hard pressed to think of a use of fractional derivative in Physics.