Stochastic fractional model of Alzheimer disease

Differential operators based on convolution definitions have been recognized as powerful mathematics tools to help model real world problems due to the properties associated to their different kernels. In particular the power law kernel helps include into mathematical formulation the effect of long...

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Bibliographic Details
Published in:Results in physics 2021-04, Vol.23, p.103977, Article 103977
Main Authors: Alkahtani, Badr Saad T., Alzaid, Sara Salem
Format: Article
Language:English
Subjects:
Alzheimer’s disease (AD)
Caputo-Fabrizio derivative
Mathematical modeling
Numerical solution
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Summary:Differential operators based on convolution definitions have been recognized as powerful mathematics tools to help model real world problems due to the properties associated to their different kernels. In particular the power law kernel helps include into mathematical formulation the effect of long range, while the exponential decay helps with fading memory, also with Poisson distribution properties that lead to a transitive behavior from Gaussian to non-Gaussian phases respectively. In this paper, we presented the well-poseness of the models for different differential operators that were presented in detail.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2021.103977