Non-standard fractional Lagrangians
RA El-Nabulsi - Nonlinear Dynamics, 2013 - Springer
Two mathematical physics' approaches have recently gained increasing importance both in
mathematical and in physical theories:(i) the fractional action-like variational approach …
mathematical and in physical theories:(i) the fractional action-like variational approach …
Fractional oscillators from non-standard Lagrangians and time-dependent fractional exponent
RA El-Nabulsi - Computational and Applied Mathematics, 2014 - Springer
Recently, the topics of fractional calculus of variations and non-standard Lagrangians have
gained increasing importance both in mathematical and physical theories. In this paper, we …
gained increasing importance both in mathematical and physical theories. In this paper, we …
[HTML][HTML] A periodic functional approach to the calculus of variations and the problem of time-dependent damped harmonic oscillators
ENA Rami - Applied Mathematics Letters, 2011 - Elsevier
I discuss the problem of time-dependent harmonic oscillators on the basis of a periodic
functional approach to the calculus of variations. Both the Lagrangian and Hamiltonian …
functional approach to the calculus of variations. Both the Lagrangian and Hamiltonian …
A generalized fractional calculus of variations
We study incommensurate fractional variational problems in terms of a generalized
fractional integral with Lagrangians depending on classical derivatives and generalized …
fractional integral with Lagrangians depending on classical derivatives and generalized …
[HTML][HTML] RLC circuit realization of a q-deformed harmonic oscillator with time dependent mass
J Batouli, M El Baz, A Maaouni - Physics Letters A, 2015 - Elsevier
We consider an RLC circuit type realization of a q-deformed harmonic oscillator. The
differential equations of motion characterizing this circuit are derived, and it is shown that the …
differential equations of motion characterizing this circuit are derived, and it is shown that the …
Analytic representation of discrete and continuous mechanical systems
B Talukdar, S Chatterjee, SG Ali - arXiv preprint arXiv:1805.07711, 2018 - arxiv.org
We investigate how the theory of self-adjoint differential equations alone can be used to
provide a satisfactory solution of the inverse vatiational problem. For the discrete system, the …
provide a satisfactory solution of the inverse vatiational problem. For the discrete system, the …