A note on fractional powers of strongly positive operators and their applications-Reference-Cited by-同舟云学术

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

Published:2019-04-01 Issue:2 Volume:22 Page:302-325
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Ashyralyev Allaberen¹²³,Hamad Ayman¹⁴

Affiliation:

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 , Russia

3. Institute of Mathematics and Mathematical Modeling 050010 , Almaty , Kazakhstan

4. Department of Mathematics , Omar Al-Mukhtar University El-Beida , El-Beida , Libya

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0020/pdf

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