Coronel-Escamilla, AntonioFrancisco Gomez-Aguilar, JoseBaleanu, DumitruCordova Fraga, TeodoroFabricio Escobar-Jimenez, RicardoOlivares-Peregrino, Victor H.Al Qurashi, Maysaa Mohamed2019-12-182019-12-182017Coronel-Escamilla, Antonio...et al. (2017). Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation, Entropy, 19(2).1099-4300http://hdl.handle.net/20.500.12416/2169In this work, the study of the fractional behavior of the Bateman-Feshbach-Tikochinsky and Caldirola-Kanai oscillators by using different fractional derivatives is presented. We obtained the Euler-Lagrange and the Hamiltonian formalisms in order to represent the dynamic models based on the Liouville-Caputo, Caputo-Fabrizio-Caputo and the new fractional derivative based on the Mittag-Leffler kernel with arbitrary order . Simulation results are presented in order to show the fractional behavior of the oscillators, and the classical behavior is recovered when is equal to 1.eninfo:eu-repo/semantics/openAccessBateman-Feshbach Tikochinsky OscillatorCaldirola-Kanai OscillatorFractional OperatorsMittag-Leffler KernelArticle1921.79769313486232E+308