Distributed Order Calculus: an Operator-Theoretic Interpretation
Mathematical Physics
2008-06-04 v2 Functional Analysis
math.MP
Abstract
Within the functional calculi of Bochner-Phillips and Hirsch, we describe the operators of distributed order differentiation and integration as functions of the classical differentiation and integration operators respectively.
Cite
@article{arxiv.0710.1710,
title = {Distributed Order Calculus: an Operator-Theoretic Interpretation},
author = {Anatoly N. Kochubei},
journal= {arXiv preprint arXiv:0710.1710},
year = {2008}
}
Comments
Version 2: typos are corrected. To appear in Ukrainian Math. Journal