Journal: | Revista mexicana de física |
Database: | PERIÓDICA |
System number: | 000429672 |
ISSN: | 0035-001X |
Authors: | Morales Delgado, V.F1 Gómez Aguilar, J.F2 Taneco Hernández, M.A1 |
Institutions: | 1Universidad Autónoma de Guerrero, Facultad de Matemáticas, Chilpancingo, Guerrero. México 2Tecnológico Nacional de México, Cuernavaca, Morelos. México |
Year: | 2019 |
Season: | Ene-Feb |
Volumen: | 65 |
Number: | 1 |
Country: | México |
Language: | Inglés |
Document type: | Artículo |
Approach: | Analítico, teórico |
English abstract | In this paper, we obtain analytical solutions for the time-fractional diffusion and time-fractional convection-diffusion equations. These equations are obtained from the standard equations by replacing the time derivative with a fractional derivative of order α. Fractional operators of type Liouville-Caputo, Atangana-Baleanu-Caputo, fractional conformable derivative in Liouville-Caputo sense, and Atangana-Koca-Caputo were used to model diffusion and convection-diffusion equation. The Laplace and Fourier transforms were applied to obtain analytical solutions for the fractional order diffusion and convection-diffusion equations. The solutions obtained can be useful to understand the modeling of anomalous diffusion, subdiffusive systems and super-diffusive systems, transport processes, random walk and wave propagation phenomenon |
Disciplines: | Física y astronomía |
Keyword: | Física, Cálculo fraccional, Núcleo de Mittag-Leffler, Derivada conformable fraccional, Ecuación de difusión |
Keyword: | Physics, Fractional calculus, Mittag-Leffler kernel, Fractional conformable derivative, Diffusion equation |
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