Two new actions being of a non-natural class S= ∫ e^ L (q, ̇ q, t) dt and S= ∫ L^ 1+ γ (q, ̇
q, t) dt, γ ∈ R with non-standard Lagrangians are introduced. It is demonstrated that …

This paper presents the variational problems for fractional Birkhoffian systems, and its
corresponding symmetries and conserved quantities are further studied. First, the fractional …

We study fractional variational problems in terms of a generalized fractional integral with
Lagrangians depending on classical derivatives, generalized fractional integrals and …

Fractional action cosmology with variable order parameter was constructed in this paper.
Starting from a fractional weighted action which generalizes the fractional actionlike …

In this study, we have introduced the concept of``fractal temperature derivative''motivated
from recent works of Li and Ostoja-Starzewski in their analysis of nonlinear fractal dynamics …

This paper presents the Euler–Lagrange equations for fractional variational problems with
multiple integrals. The fractional Noether-type theorem for conservative and …

Massive gravity based on the fractional action cosmology is discussed. In this new picture,
the new theory requires the introduction, in addition to the ordinary graviton mass, fractional …

In this paper we set up a fractional generalization of Einstein's field equations based on
fractional derivatives inside the geodesic action integral and obtained non-local fractional …

Two mathematical physics' approaches have recently gained increasing importance both in
mathematical and in physical theories:(i) the fractional action-like variational approach …

The fractional Pfaffian variational problems and the fractional Noether theory are studied
under a fractional model presented by El-Nabulsi. Firstly, the fractional action-like Pfaffian …