A series representation of the discrete fractional Laplace operator of arbitrary order
نویسندگان
چکیده
Although fractional powers of non-negative operators have received much attention in recent years, there is still little known about their behavior if real-valued exponents are greater than one. In this article, we define and study the discrete Laplace operator arbitrary positive order. A series representation for non-integer developed. Its convergence to a case integer proven as power tends value. Furthermore, show that new consistent with existing theoretical results.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125323