A note on fractional powers of strongly positive operators and their applications

The present paper deals with fractional powers of positive operators in a Banach space. The main theorem concerns the structure of fractional powers of positive operators in fractional spaces. As applications, the structure of fractional powers of elliptic operators is studied. © 2019 Diogenes Co., Sofia.

Authors
Ashyralyev A. 1, 2, 3 , Hamad A.1, 4
Journal
Fractional Calculus and Applied Analysis
Publisher
Walter de Gruyter GmbH
Number of issue
2
Language
English
Pages
302-325
Status
Published
Link
External link
DOI
10.1515/fca-2019-0020
Volume
22
Year
2019
Organizations
  • 1 Department of Mathematics, Near East University Lefkosa, Mersin, 10, Turkey
  • 2 Peoples' Friendship University of Russia (RUDN University) Ul. Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, Omar Al-Mukhtar University El-Beida, El-Beida, Libyan Arab Jamahiriya
Keywords
26A33; 46B70; Primary 47H07; Secondary 47F05
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38669/
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