Spectral properties of fractional differentiation operators

Autor: Maksim V. Kukushkin
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2018, Iss 29,, Pp 1-24 (2018)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals
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