In this study, we have combined the new concept of generalized momentum operator in
quantum mechanics with the framework of position-dependent mass which plays a crucial …

We present a direct approach to the construction of Lagrangians for a large class of one-
dimensional dynamical systems with a simple dependence (monomial or polynomial) on the …

A bstract The semiclassical limit of full non-commutative gauge theory is known as Poisson
gauge theory. In this work we revise the construction of Poisson gauge theory paying …

In this study, we have constructed a generalized momentum operator based on the notion of
backward–forward coordinates characterized by a low dynamical nonlocality decaying …

A brief review of the development of ideas on extremal principles in the theory of heat and
mass transfer processes (including those in reacting media) is given. The extremal …

We return to the description of the damped harmonic oscillator with an assessment of
previous works, in particular the Bateman–Caldirola–Kanai model and a new model …

The Poisson gauge theory is a semi-classical limit of full non-commutative gauge theory. In
this work we construct an ${\mathrm {L}} _ {\infty}^{\text {full}} $ algebra which governs both …

In the paper, we present a new stability theory of fractional dynamics, ie, the stability for
manifolds of equilibrium state of a fractional Birkhoffian system, in terms of Riesz derivatives …

We determine the analytic expression of the Rayleigh potential associated to the general
relativistic Poynting-Robertson effect. This constitutes the first example of a physical …

In the paper, we construct a new kind of fractional dynamical model, ie the fractional Lorentz-
Dirac model, and explore dynamical behaviors of the model. We find that the fractional …