On the Viability of Solutions to Conformable Stochastic Differential Equations

On the Viability of Solutions to Conformable Stochastic Differential Equations

Year:    2024

Author:    Liping Xu, Zhi Li

Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 1 : pp. 47–58

Abstract

The viability of the conformable stochastic differential equations is studied. Some necessary and sufficient conditions in terms of the distance function to $K$ are given. In addition, when the boundary of $K$ is sufficiently smooth, our necessary and sufficient conditions can reduce to two relations just on the boundary of $K.$ Lastly, an example is given to illustrate our main results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v37.n1.3

Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 1 : pp. 47–58

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Viability conformable derivatives conformable stochastic differential equation.

Author Details

Liping Xu

Zhi Li