Abstract
A SDE driven by an -stable process,
with a Lipshitz continuous coefficient and a
-Hölder drift is considered. The existence and uniqueness of a strong solution is proved when
by showing that it is the
-limit of Euler approximations. The
-error (rate of convergence) is obtained for a nondegenerate truncated and nontruncated driving process. The rate in the case of Lipshitz continuous coefficients is derived as well.
Acknowledgements
We are very grateful to our reviewer for valuable comments and suggestions.
Notes
No potential conflict of interest was reported by the authors.