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Browsing by Author "Abundez-Pliego, Arturo"

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    Citation - WoS: 21
    Citation - Scopus: 24
    Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel
    (Springeropen, 2016) Coronel-Escamilla, Antonio; Francisco Gomez-Aguilar, Jose; Baleanu, Dumitru; Fabricio Escobar-Jimenez, Ricardo; Hugo Olivares-Peregrino, Victor; Abundez-Pliego, Arturo; Matematik
    This 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.