Fractional (or non-integer) differentiation is an important concept both from theoretical and
applicational points of view. The study of problems of the calculus of variations with fractional …

This paper presents the infinitesimal prolongation to Riemann–Liouville and Caputo fractional
derivatives without the restrictive lower limit fixed in the integrals, when applicated to the …

Using the recent formulation of Noether’s theorem for the problems of the calculus of variations
with fractional derivatives, the Lagrange multiplier technique, and the fractional Euler–…

We prove a Noether's theorem for fractional variational problems with Riesz–Caputo
derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative …

The study of fractional variational problems with derivatives in the sense of Caputo is a
recent subject, the main results being Agrawal's necessary optimality conditions of Euler-…

In this paper, we introduce the $$\psi $$ ψ -Hilfer pseudo-fractional operator, motivated by
the $$\psi $$ ψ -Hilfer fractional derivative and the theory of pseudo-analysis. We investigate …

In this work, we propose an action principle for action-dependent Lagrangian functions by
generalizing the Herglotz variational problem to the case with several independent variables. …

Since the seminal work of Emmy Noether, it is well know that all conservations laws in
physics, eg, conservation of energy or conservation of momentum, are directly related to the …

In this paper, we investigate the reachability of linear and non-linear systems in the sense of
the ψ-Hilfer pseudo-fractional derivative in g-calculus by means of the Mittag–Leffler …

In the present work, we propose an action principle for action-dependent Lagrangians by
generalizing the Herglotz variational problem for several independent variables. This action …