Remote Access Transactions of the Moscow Mathematical Society

Transactions of the Moscow Mathematical Society

ISSN 1547-738X(online) ISSN 0077-1554(print)

 
 

 

Symmetric differential operators of fractional order and their extensions


Authors: N. E. Tokmagambetov and B. T. Torebek
Translated by: Christopher D. Hollings
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 79 (2018), vypusk 2.
Journal: Trans. Moscow Math. Soc. 2018, 177-185
MSC (2010): Primary 45J05, 35S99
DOI: https://doi.org/10.1090/mosc/279
Published electronically: November 29, 2018
MathSciNet review: 3881463
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: This paper is devoted to the description of symmetric operators and the justification of Green's formula for a fractional analogue of the Sturm-Liouville operator of order $ 2\alpha $, where $ \frac {1}{2}<\alpha <1$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the Moscow Mathematical Society with MSC (2010): 45J05, 35S99

Retrieve articles in all journals with MSC (2010): 45J05, 35S99


Additional Information

N. E. Tokmagambetov
Affiliation: Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, Alma-Ata, Kazakhstan
Email: niyaz.tokmagambetov@gmail.com

B. T. Torebek
Affiliation: Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, Alma-Ata, Kazakhstan
Email: torebek@math.kz

DOI: https://doi.org/10.1090/mosc/279
Keywords: Self-adjoint extensions, Green's formula, differential equation of fractional order, boundary value problem, fractional Sturm-Liouville operator
Published electronically: November 29, 2018
Additional Notes: This work was supported by grants AP05130994 and AP05131756 from the Ministry of Education and Science of the Republic of Kazakhstan.
Article copyright: © Copyright 2018 American Mathematical Society