Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7375174 | Physica A: Statistical Mechanics and its Applications | 2018 | 27 Pages |
Abstract
This paper presents a novel fractional conformable derivative of Liouville-Caputo type of fractional order α=nâϵ that contains a small ϵ and positive integer n values between [1;2]. The method is applied to obtain analytical solutions for the electrical circuits LC and RL and for the equations that describe the motion of a charged particle in an electromagnetic field using an expansion of the fractional conformable derivative in ϵ=nâα. Numerical simulations were obtained for different values of the fractional order and the parameter ϵ. This novel fractional conformable derivative allows describing physical systems where the level of fractality is low, such as oscillators, quantum dynamics, electromagnetic fields, mechanics of fractal and complex media, among others.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
V.F. Morales-Delgado, J.F. Gómez-Aguilar, R.F. Escobar-Jiménez, M.A. Taneco-Hernández,