Variational principles compatible with conformable dynamics

Formulate variational principles compatible with dynamics governed by conformable derivatives, deriving Euler–Lagrange equations and boundary conditions that rigorously incorporate temperature-weighted derivatives into action or free-energy functionals.

Background

The authors construct modified Ginzburg–Landau equations using conformable derivatives and provide phenomenological fits to superconducting data. They note the need for a rigorous variational framework consistent with conformable dynamics.

Such principles would ensure that stationary solutions and conserved quantities emerge correctly within the deformed calculus, aligning phenomenological models with mathematical physics foundations.