Fractional Diffusion Models for the Atmosphere of Mars



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Jiménez, Salvador and Usero Mainer, David and Vázquez, Luis and Velasco, Maria (2017) Fractional Diffusion Models for the Atmosphere of Mars. Fractal and Fractional, 2 (1). p. 1. ISSN 2504-3110

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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.

Item Type:Article
Uncontrolled Keywords:fractional calculus; Mittag-Leffler type functions; fractional ordinary and partial differential equations; dust; solar radiation
Subjects:Sciences > Physics > Astrophysics
Sciences > Physics > Physics-Mathematical models
ID Code:67593
Deposited On:01 Sep 2021 08:15
Last Modified:01 Sep 2021 08:15

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