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Volume 37, Issue 1
On the Viability of Solutions to Conformable Stochastic Differential Equations

Liping Xu & Zhi Li

DOI: 10.4208/jpde.v37.n1.3

J. Part. Diff. Eq., 37 (2024), pp. 47-58.

Published online: 2024-02

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  • 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.

  • Keywords

Viability, conformable derivatives, conformable stochastic differential equation.

  • AMS Subject Headings

60H10, 93E03

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-37-47, author = {Xu , Liping and Li , Zhi}, title = {On the Viability of Solutions to Conformable Stochastic Differential Equations}, journal = {Journal of Partial Differential Equations}, year = {2024}, volume = {37}, number = {1}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v37.n1.3}, url = {http://global-sci.org/intro/article_detail/jpde/22905.html} }
TY - JOUR T1 - On the Viability of Solutions to Conformable Stochastic Differential Equations AU - Xu , Liping AU - Li , Zhi JO - Journal of Partial Differential Equations VL - 1 SP - 47 EP - 58 PY - 2024 DA - 2024/02 SN - 37 DO - http://doi.org/10.4208/jpde.v37.n1.3 UR - https://global-sci.org/intro/article_detail/jpde/22905.html KW - Viability, conformable derivatives, conformable stochastic differential equation. AB -

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.

Liping Xu & Zhi Li. (2024). On the Viability of Solutions to Conformable Stochastic Differential Equations. Journal of Partial Differential Equations. 37 (1). 47-58. doi:10.4208/jpde.v37.n1.3
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