RT Journal Article T1 Fractional Diffusion Models for the Atmosphere of Mars A1 Jiménez, Salvador A1 Usero Mainer, David A1 Vázquez, Luis A1 Velasco, Maria AB The dust aerosols floating in the atmosphere of Mars cause an attenuation of the solar radiation traversing the atmosphere that cannot be modeled through the use of classical diffusion processes. However, the definition of a type of fractional diffusion equation offers a more accurate model for this dynamic and the second order moment of this equation allows one to establish a connection between the fractional equation and the Ångstrom law that models the attenuation of the solar radiation. In this work we consider both one and three dimensional wavelength-fractional diffusion equations, and we obtain the analytical solutions and numerical methods using two different approaches of the fractional derivative. PB MDPI SN 2504-3110 YR 2017 FD 2017-12-28 LK https://hdl.handle.net/20.500.14352/19216 UL https://hdl.handle.net/20.500.14352/19216 LA eng NO Ministerio de Economía y Competitividad (MINECO) DS Docta Complutense RD 7 abr 2025