Non-Gaussian distributions to random walk in the context of memory kernels
dc.contributor.author | Santos, Maike Antonio Faustino dos | pt_BR |
dc.date.accessioned | 2019-06-05T02:33:50Z | pt_BR |
dc.date.issued | 2018 | pt_BR |
dc.identifier.issn | 2504-3110 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/195080 | pt_BR |
dc.description.abstract | The investigation of diffusive process in nature presents a complexity associated with memory effects. Thereby, it is necessary new mathematical models to involve memory concept in diffusion. In the following, I approach the continuous time random walks in the context of generalised diffusion equations. To do this, I investigate the diffusion equation with exponential and Mittag-Leffler memory-kernels in the context of Caputo-Fabrizio and Atangana-Baleanu fractional operators on Caputo sense. Thus, exact expressions for the probability distributions are obtained, in that non-Gaussian distributions emerge. I connect the distribution obtained with a rich class of diffusive behaviour. Moreover, I propose a generalised model to describe the random walk process with resetting on memory kernel context. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Fractal and fractional. Basel. Vol. 2, no. 3 (Sept. 2018), 20, 15 p. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Fractional diffusion equation | en |
dc.subject | Física estatística | pt_BR |
dc.subject | Memory kernels | en |
dc.subject | Probabilidade | pt_BR |
dc.subject | Processos estocásticos | pt_BR |
dc.subject | Random walk | en |
dc.subject | Diffusion models | en |
dc.subject | Solution techniques | en |
dc.subject | Anomalous diffusion | en |
dc.title | Non-Gaussian distributions to random walk in the context of memory kernels | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 001091964 | pt_BR |
dc.type.origin | Estrangeiro | pt_BR |
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