On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes
In this paper, we study the solvability of a mixed problem for a high-order partial differential equation with fractional derivatives with respect to time, and with Laplace operators with spatial variables and nonlocal boundary conditions in Sobolev classes.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/7/3/235 |
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| author | Onur Alp İlhan Shakirbay G. Kasimov Shonazar Q. Otaev Haci Mehmet Baskonus |
| author_facet | Onur Alp İlhan Shakirbay G. Kasimov Shonazar Q. Otaev Haci Mehmet Baskonus |
| author_sort | Onur Alp İlhan |
| collection | DOAJ |
| description | In this paper, we study the solvability of a mixed problem for a high-order partial differential equation with fractional derivatives with respect to time, and with Laplace operators with spatial variables and nonlocal boundary conditions in Sobolev classes. |
| first_indexed | 2024-12-10T07:22:48Z |
| format | Article |
| id | doaj.art-63841fb2915c4759ad7d02a084ed8bac |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-10T07:22:48Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-63841fb2915c4759ad7d02a084ed8bac2022-12-22T01:57:47ZengMDPI AGMathematics2227-73902019-03-017323510.3390/math7030235math7030235On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev ClassesOnur Alp İlhan0Shakirbay G. Kasimov1Shonazar Q. Otaev2Haci Mehmet Baskonus3Department of Mathematics and Science Education, Faculty of Education, Erciyes University, Kayseri 38039, TurkeyFaculty of Mathematics, National University of Uzbekistan, Tashkent 100174, UzbekistanFaculty of Mathematics, National University of Uzbekistan, Tashkent 100174, UzbekistanDepartment of Mathematics and Science Education, Faculty of education, Harran University, Sanliurfa 63190, TurkeyIn this paper, we study the solvability of a mixed problem for a high-order partial differential equation with fractional derivatives with respect to time, and with Laplace operators with spatial variables and nonlocal boundary conditions in Sobolev classes.http://www.mdpi.com/2227-7390/7/3/235Banach spaceSobolev spaceLaplace operatorsnonlocal boundary conditions |
| spellingShingle | Onur Alp İlhan Shakirbay G. Kasimov Shonazar Q. Otaev Haci Mehmet Baskonus On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes Mathematics Banach space Sobolev space Laplace operators nonlocal boundary conditions |
| title | On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes |
| title_full | On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes |
| title_fullStr | On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes |
| title_full_unstemmed | On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes |
| title_short | On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes |
| title_sort | on the solvability of a mixed problem for a high order partial differential equation with fractional derivatives with respect to time with laplace operators with spatial variables and nonlocal boundary conditions in sobolev classes |
| topic | Banach space Sobolev space Laplace operators nonlocal boundary conditions |
| url | http://www.mdpi.com/2227-7390/7/3/235 |
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