We investigate the solution to the logistic equation involving non-local operators in time. In the linear case such operators lead to the well-known theory of time changes. We provide the probabilistic representation for the non-linear logistic equation with non-local operators in time. The so-called fractional logistic equation has been investigated by many researchers, the problem to find the explicit representation of the solution on the whole real line is still open. In our recent work the solution on compact sets has been written in terms of Euler’s numbers.

Non-local logistic equations from the probability viewpoint / D'Ovidio, Mirko. - In: THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS. - ISSN 0094-9000. - 104:(2021), pp. 77-87. [10.1090/tpms/1146]

Non-local logistic equations from the probability viewpoint

D'Ovidio, Mirko
Primo
Writing – Review & Editing
2021

Abstract

We investigate the solution to the logistic equation involving non-local operators in time. In the linear case such operators lead to the well-known theory of time changes. We provide the probabilistic representation for the non-linear logistic equation with non-local operators in time. The so-called fractional logistic equation has been investigated by many researchers, the problem to find the explicit representation of the solution on the whole real line is still open. In our recent work the solution on compact sets has been written in terms of Euler’s numbers.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1603254
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