This book intends to deepen the study of the fractional calculus, giving special emphasis to
variable-order operators. Fractional calculus is a recent field of mathematical analysis, and it …

Herglotz proposed a generalized variational principle through his work on contact
transformations and their connections with Hamiltonian systems and Poisson brackets …

This paper summarized the recent development on Herglotz's generalized variational
principle and its symmetries and conserved quantities for nonconservative dynamical …

Abstract We obtain Euler–Lagrange equations, transversality conditions and a Noether-like
theorem for Herglotz-type variational problems with Lagrangians depending on generalized …

This paper focuses on studying the Noether symmetries and the conserved quantities for a
time-delayed Birkhoffian system of Herglotz type. The generalized Herglotz variational …

This paper deals with Noether symmetry and conserved quantities for the Hamiltonian
system of Herglotz type on time scales. Firstly, the variational principle of Herglotz type for …

In this paper, Herglotz-type vakonomic dynamics and Noether theory of nonholonomic
systems are studied. Firstly, Herglotz-type vakonomic dynamical equations for …

We study fractional variational problems of Herglotz type of variable order. Necessary
optimality conditions, described by fractional differential equations depending on a …

In this paper, the Noether theorems and their inverse theorems for generalized Chaplygin
systems with two types of nonstandard Lagrangians, related to exponential and power-law …

Herglotz variational principle, in which the functional is defined by a differential equation,
generalizes the classical ones defining the functional by an integral. The principle gives a …