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 - <p style="text-align: justify;">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.</p>