Rosales Garcia, J. JuanOrtega Contreras, AbrahamBaleanu, DumitruMartinez Jimenez, Leonardo02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2019-12-182025-09-182019-12-182025-09-182017Martinez Jimenez, Leonardo...et al. (2017). Analysis of Drude model using fractional derivatives without singular kernels, Open Physics, 15(1), 627-636.2391-5471https://doi.org/10.1515/phys-2017-0073https://hdl.handle.net/20.500.12416/14096Martinez-Jimenez, Leonardo/0000-0002-7062-7154We report study exploring the fractional Drude model in the time domain, using fractional derivatives without singular kernels, Caputo-Fabrizio (CF), and fractional derivatives with a stretched Mittag-Leffer function. It is shown that the velocity and current density of electrons moving through a metal depend on both the time and the fractional order 0 < gamma <= 1. Due to non-singular fractional kernels, it is possible to consider complete memory effects in the model, which appear neither in the ordinary model, nor in the fractional Drude model with Caputo fractional derivative. A comparison is also made between these two representations of the fractional derivatives, resulting a considered difference when gamma < 0.8.eninfo:eu-repo/semantics/openAccessFractional CalculusDrude ModelCaputo-Fabrizio DerivativeAtangana-Baleanu DerivativeArticle10.1515/phys-2017-0073