Spectral properties of fractional differentiation operators
Date
2018-01-29
Authors
Kukushkin, Maksim V.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider the fractional differentiation operators in a variety of senses. We show that the strong accretive property is the common property of fractional differentiation operators. Also we prove that the sectorial property holds for operators second order with fractional derivative in lower terms, we explore the location of spectrum and resolvent sets and show that the generalized spectrum is discrete. We prove that there is two-sided estimate for eigenvalues of real component of operators second order with fractional derivative in lower terms.
Description
Keywords
Fractional derivative, Fractional integral, Energetic space, Sectorial operator, Strong accretive operator
Citation
Kukushkin, M. V. (2018). Spectral properties of fractional differentiation operators. <i>Electronic Journal of Differential Equations, 2018</i>(29), pp. 1-24.
Rights
Attribution 4.0 International