A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE
A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a fractional Caputo derivative in time is obtained...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
KamGU by Vitus Bering
2019-11-01
|
Series: | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
Subjects: | |
Online Access: | http://krasec.ru/wp-content/uploads/2020/01/%D0%A8%D1%85%D0%B0%D0%B3%D0%B0%D0%BF%D1%81%D0%BE%D0%B5%D0%B2.pdf |
_version_ | 1818305484600377344 |
---|---|
author | A. M. Shkhagapsoev |
author_facet | A. M. Shkhagapsoev |
author_sort | A. M. Shkhagapsoev |
collection | DOAJ |
description | A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a fractional Caputo derivative in time is obtained by the method of energy inequalities. |
first_indexed | 2024-12-13T06:27:20Z |
format | Article |
id | doaj.art-a09473556b0544d08ec50181a247cdb5 |
institution | Directory Open Access Journal |
issn | 2079-6641 2079-665X |
language | English |
last_indexed | 2024-12-13T06:27:20Z |
publishDate | 2019-11-01 |
publisher | KamGU by Vitus Bering |
record_format | Article |
series | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
spelling | doaj.art-a09473556b0544d08ec50181a247cdb52022-12-21T23:56:42ZengKamGU by Vitus BeringVestnik KRAUNC: Fiziko-Matematičeskie Nauki2079-66412079-665X2019-11-01294354010.26117/2079-6641-2019-29-4-35-40A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVEA. M. Shkhagapsoev0Institute of Applied Mathematics and Automation KBSC RAS, 360000, KBR, Nalchik, st. Shortanova 89aA boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a fractional Caputo derivative in time is obtained by the method of energy inequalities.http://krasec.ru/wp-content/uploads/2020/01/%D0%A8%D1%85%D0%B0%D0%B3%D0%B0%D0%BF%D1%81%D0%BE%D0%B5%D0%B2.pdfa priori estimationnonlocal boundary value problemequation with multiple characteristicsmethod of energy integrals |
spellingShingle | A. M. Shkhagapsoev A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE Vestnik KRAUNC: Fiziko-Matematičeskie Nauki a priori estimation nonlocal boundary value problem equation with multiple characteristics method of energy integrals |
title | A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE |
title_full | A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE |
title_fullStr | A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE |
title_full_unstemmed | A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE |
title_short | A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE |
title_sort | priori estimation of a generalized nonlocal boundary value problem for a thrid order equation with a fractional time caputo derivative |
topic | a priori estimation nonlocal boundary value problem equation with multiple characteristics method of energy integrals |
url | http://krasec.ru/wp-content/uploads/2020/01/%D0%A8%D1%85%D0%B0%D0%B3%D0%B0%D0%BF%D1%81%D0%BE%D0%B5%D0%B2.pdf |
work_keys_str_mv | AT amshkhagapsoev aprioriestimationofageneralizednonlocalboundaryvalueproblemforathridorderequationwithafractionaltimecaputoderivative AT amshkhagapsoev prioriestimationofageneralizednonlocalboundaryvalueproblemforathridorderequationwithafractionaltimecaputoderivative |