Browsing by Author "Abundez-Pliego, Arturo"
Now showing 1 - 1 of 1
- Results Per Page
- Sort Options
Article Citation - WoS: 23Citation - Scopus: 26Formulation of Euler-Lagrange and Hamilton Equations Involving Fractional Operators With Regular Kernel(Springeropen, 2016) Francisco Gomez-Aguilar, Jose; Baleanu, Dumitru; Fabricio Escobar-Jimenez, Ricardo; Hugo Olivares-Peregrino, Victor; Abundez-Pliego, Arturo; Coronel-Escamilla, AntonioThis paper presents alternative representations to traditional calculus of the Euler-Lagrangian equations, in the alternative representations these equations contain fractional operators. In this work, we consider two problems, the Lagrangian of a Pais-Uhlenbeck oscillator and the Hamiltonian of a two-electric pendulum model where the fractional operators have a regular kernel. The Euler-Lagrange formalism was used to obtain the dynamic model based on the Caputo-Fabrizio operator and the new fractional operator based on the Mittag-Leffler function. The simulations showed the effectiveness of these two representations for different values of gamma.
