International Committee "Continental"
Geleznovodsk 357401, Russia
email: kukushkinmv@rambler.ru
Maksim V. Kukushkin
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.
Submitted October 10, 2017. Published January 29, 2018.
Math Subject Classifications: 47F05, 47F99, 46C05.
Key Words: Fractional derivative; fractional integral; energetic space;
sectorial operator; strong accretive operator.
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Maksim V. Kukushkin International Committee "Continental" Geleznovodsk 357401, Russia email: kukushkinmv@rambler.ru |
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