Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators
A boundary value problem in a rectangular domain for a system of partial differential equations with the Dzhrbashyan-Nersesyan fractional differentiation operators with constant coefficients is studied in the case when the matrix coefficients of the system have complex eigenvalues. Existence and un...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2022-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/532 |
| _version_ | 1797372649185214464 |
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| author | M.O. Mamchuev |
| author_facet | M.O. Mamchuev |
| author_sort | M.O. Mamchuev |
| collection | DOAJ |
| description |
A boundary value problem in a rectangular domain for a system of partial differential equations with the Dzhrbashyan-Nersesyan fractional differentiation operators with constant coefficients is studied in the case when the matrix coefficients of the system have complex eigenvalues. Existence and uniqueness theorems for the solution to the boundary value problem under study are proved. The solution is constructed explicitly in terms of the Wright function of the matrix argument.
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| first_indexed | 2024-03-08T18:38:53Z |
| format | Article |
| id | doaj.art-4d63c2218c52432a99f68af82d86dc09 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:53Z |
| publishDate | 2022-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-4d63c2218c52432a99f68af82d86dc092023-12-29T10:19:22ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112022-06-01106210.31489/2022m2/143-160Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operatorsM.O. Mamchuev A boundary value problem in a rectangular domain for a system of partial differential equations with the Dzhrbashyan-Nersesyan fractional differentiation operators with constant coefficients is studied in the case when the matrix coefficients of the system have complex eigenvalues. Existence and uniqueness theorems for the solution to the boundary value problem under study are proved. The solution is constructed explicitly in terms of the Wright function of the matrix argument. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/532system of partial diffrential equationsfractional derivativesDzhrbashyan–Nersesyan operatorboundary value problemfundamental solutionWright matrix function |
| spellingShingle | M.O. Mamchuev Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators Қарағанды университетінің хабаршысы. Математика сериясы system of partial diffrential equations fractional derivatives Dzhrbashyan–Nersesyan operator boundary value problem fundamental solution Wright matrix function |
| title | Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators |
| title_full | Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators |
| title_fullStr | Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators |
| title_full_unstemmed | Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators |
| title_short | Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators |
| title_sort | boundary value problem for a system of partial differential equations with the dzhrbashyan nersesyan fractional differentiation operators |
| topic | system of partial diffrential equations fractional derivatives Dzhrbashyan–Nersesyan operator boundary value problem fundamental solution Wright matrix function |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/532 |
| work_keys_str_mv | AT momamchuev boundaryvalueproblemforasystemofpartialdifferentialequationswiththedzhrbashyannersesyanfractionaldifferentiationoperators |