Coronel-Escamilla, AntonioBaleanu, DumitruFrancisco 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).1099-4300https://doi.org/10.3390/e19020055Cordova-Fraga, Teodoro/0000-0002-6486-7530; Escobar Jimenez, Ricardo Fabricio/0000-0003-3367-6552; Gomez-Aguilar, J.F./0000-0001-9403-3767; Coronel-Escamilla, Antonio/0000-0003-3662-2939; Olivares Peregrino, Victor Hugo/0000-0002-5214-4984In 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 KernelArticle19210.3390/e190200552-s2.0-85012273679WOS:000395442900010Q2Q2