On the solvability of the first boundary value problem for the loaded equation of heat conduction
| dc.contributor.author | Jenaliyev, M.T. | |
| dc.contributor.author | Iskakov, S.A. | |
| dc.contributor.author | Ramazanov, M.I. | |
| dc.contributor.author | Tuleutaeva, Zh.M. | |
| dc.date.accessioned | 2018-05-12T04:01:12Z | |
| dc.date.available | 2018-05-12T04:01:12Z | |
| dc.date.issued | 2018-03-30 | |
| dc.description.abstract | In this paper we consider the first boundary value problem for the loaded equation of heat conduction in a quarter plane. The loaded term is the trace of the fractional derivative of order ν, 0 ≤ ν ≤ 1 with respect to the time variable on the line x = t. It is shown that when 0 ≤ ν ≤ 1 and ∀λ ∈C, then the load is a weak perturbation, that is, the studied problem has a unique solution in the class of bounded functions. | ru_RU |
| dc.identifier.citation | On the solvability of the first boundary value problem for the loaded equation of heat conduction/M.T. Jenaliyev [et al]//Қарағанды универисетінің хабаршысы. МАТЕМАТИКА Сериясы.=Вестник Карагандинского университета. Серия МАТЕМАТИКА.=Bulletin of the Karaganda University. MATHEMATICS Series.-2018. №1.Р.33-41. | ru_RU |
| dc.identifier.uri | https://rep.buketov.edu.kz/handle/data/2870 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | KSU Publ. | ru_RU |
| dc.relation.ispartofseries | Қарағанды универисетінің хабаршысы. МАТЕМАТИКА Сериясы.=Вестник Карагандинского университета. Серия МАТЕМАТИКА.=Bulletin of the Karaganda University. MATHEMATICS Series.;№ 1(89)/2018 | |
| dc.subject | loaded equation of heat conduction | ru_RU |
| dc.subject | boundary value problem | ru_RU |
| dc.subject | fractional derivative | ru_RU |
| dc.subject | Volterra integral equation | ru_RU |
| dc.title | On the solvability of the first boundary value problem for the loaded equation of heat conduction | ru_RU |
| dc.title.alternative | Жүктелген жылуөткiзгiштiк теңдеуi yшiн бiрiншi шеттiк есептiң шешiмдiлiгi туралы | ru_RU |
| dc.title.alternative | О разрешимости первой краевой задачи для нагруженного уравнения теплопроводности | ru_RU |
| dc.type | Article | ru_RU |