On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative
| dc.contributor.author | Kosmakova, M.T. | |
| dc.contributor.author | Izhanova, K.A. | |
| dc.contributor.author | Khamzeyeva, A.N. | |
| dc.date.accessioned | 2023-01-10T07:55:55Z | |
| dc.date.available | 2023-01-10T07:55:55Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant. The loaded term contains a fractional derivative in the Caputo sense of an order ; 2 < < 3. The boundary value problem is reduced to an integro-differential equation with a difference kernel by inverting the differential part. It is proved that a homogeneous integro-differential equation has at least one non-zero solution. It is shown that the solution of the homogeneous boundary value problem corresponding to the original boundary value problem is not unique, and the load acts as a strong perturbation of the boundary value problem. | ru_RU |
| dc.identifier.citation | Kosmakova M.T. On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative/M.T. Kosmakova, K.A. Izhanova, A.N. Khamzeyeva//Bulletin of the Karaganda University. Mathematics series. – 2022-№ 4(108). – pp.98-106. | ru_RU |
| dc.identifier.issn | 2663–5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/14838 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Bulletin of the Karaganda University. Mathematics series.;№4(108) | |
| dc.subject | second boundary value problem | ru_RU |
| dc.subject | loaded equation | ru_RU |
| dc.subject | Caputo fractional derivative | ru_RU |
| dc.subject | non-unique solvability | ru_RU |
| dc.subject | strong perturbation | ru_RU |
| dc.title | On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative | ru_RU |
| dc.title.alternative | Бөлшек туындысы түріндегі жүктемемен жылу өткізгіштіктің шекаларық есебін шешудің бірегей еместігі туралы | ru_RU |
| dc.title.alternative | О неединственности решения краевой задачи теплопроводности с нагрузкой в виде дробной производной | ru_RU |
| dc.type | Article | ru_RU |