2 papers
math.CA2021
A series representation of the discrete fractional Laplace operator of arbitrary order
Tiffany Frugé Jones, Evdokiya Georgieva Kostadinova, Joshua Lee Padgett +1
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 gre…
math.FA2020
Intrinsic properties of strongly continuous fractional semigroups in normed vector spaces
Tiffany Frugé Jones, Joshua Lee Padgett, Qin Sheng
Norm estimates for strongly continuous semigroups have been successfully studied in numerous settings, but at the moment there are no corresponding studies in the case of solution…