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...

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Main Author: A. M. Shkhagapsoev
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
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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.
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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