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• W2887482067 endingPage "20" @default.
• W2887482067 startingPage "20" @default.
• W2887482067 abstract "The investigation of diffusive process in nature presents a complexity associated withmemory effects. Thereby, it is necessary new mathematical models to involve memory conceptin diffusion. In the following, I approach the continuous time random walks in the context ofgeneralised diffusion equations. To do this, I investigate the diffusion equation with exponential andMittag–Leffler memory-kernels in the context of Caputo–Fabrizio and Atangana–Baleanu fractionaloperators 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 ofdiffusive behaviour. Moreover, I propose a generalised model to describe the random walk processwith resetting on memory kernel context." @default.
• W2887482067 created "2018-08-22" @default.
• W2887482067 creator A5011457702 @default.
• W2887482067 date "2018-07-29" @default.
• W2887482067 modified "2023-09-23" @default.
• W2887482067 title "Non-Gaussian Distributions to Random Walk in the&#x0D; Context of Memory Kernels" @default.
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• W2887482067 doi "https://doi.org/10.3390/fractalfract2030020" @default.
• W2887482067 hasPublicationYear "2018" @default.
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