2016/01/01 by M. Guía, Manuel Guía, J.J. Rosales +4 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Numerical methods in engineering #Surface and Thin Film Phenomena
paper · pdf · doi:10.31349/revmexfis.62.2.155
crossref issued 2016/01/01 · crossref published 2016/01/01 · crossref published-online 2016/01/01 · openalex publication_date 2016/01/01 · openalex created_date 2016/06/24 · crossref created 2026/07/31 · crossref deposited 2026/07/31 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/02
In the present work we analyse the behaviour of electrons in a metal placed into uniform electric field, E, from its fractional differential equation. We show that the velocity and the current density of the electrons not only depend on the time t, but also on the order of the fractional differential equation γ, the Drude model is a particular case. This fact could have interesting consequences in the study of electrical properties of metals.