Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order

Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order

The unique solvability of internally boundary value problem for equation of mixed type of third order with multiple characteristics is investigated. The uniqueness theorem is proved with the restrictions on certain features and different orders of fractional integro-differentiation. The existence of...

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Main Authors: O. A. Repin, S. K. Kumykova
Format: Article
Language:English
Published: Samara State Technical University 2011-10-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1014
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spelling doaj-4f7baf9dd6a44710ba387380245965702020-11-25T01:17:19ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-10-014(25)253610.14498/vsgtu1014Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary orderO. A. RepinS. K. KumykovaThe unique solvability of internally boundary value problem for equation of mixed type of third order with multiple characteristics is investigated. The uniqueness theorem is proved with the restrictions on certain features and different orders of fractional integro-differentiation. The existence of solution is equivalent reduced to a Fredholm integral equation of the second kind.http://mi.mathnet.ru/eng/vsgtu1014
collection DOAJ
language English
format Article
sources DOAJ
author O. A. Repin
S. K. Kumykova
spellingShingle O. A. Repin
S. K. Kumykova
Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet O. A. Repin
S. K. Kumykova
author_sort O. A. Repin
title Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order
title_short Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order
title_full Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order
title_fullStr Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order
title_full_unstemmed Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order
title_sort nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2011-10-01
description The unique solvability of internally boundary value problem for equation of mixed type of third order with multiple characteristics is investigated. The uniqueness theorem is proved with the restrictions on certain features and different orders of fractional integro-differentiation. The existence of solution is equivalent reduced to a Fredholm integral equation of the second kind.
url http://mi.mathnet.ru/eng/vsgtu1014
work_keys_str_mv AT oarepin nonlocalproblemforaequationofmixedtypeofthirdorderwithgeneralizedoperatorsoffractionalintegrodifferentiationofarbitraryorder
AT skkumykova nonlocalproblemforaequationofmixedtypeofthirdorderwithgeneralizedoperatorsoffractionalintegrodifferentiationofarbitraryorder
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