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Mathematics 2019, 7(3), 235; https://doi.org/10.3390/math7030235

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

1
Department of Mathematics and Science Education, Faculty of Education, Erciyes University, Kayseri 38039, Turkey
2
Faculty of Mathematics, National University of Uzbekistan, Tashkent 100174, Uzbekistan
3
Department of Mathematics and Science Education, Faculty of education, Harran University, Sanliurfa 63190, Turkey
*
Author to whom correspondence should be addressed.
Received: 16 November 2018 / Revised: 28 February 2019 / Accepted: 1 March 2019 / Published: 5 March 2019
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Abstract

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. View Full-Text
Keywords: Banach space; Sobolev space; Laplace operators; nonlocal boundary conditions Banach space; Sobolev space; Laplace operators; nonlocal boundary conditions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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İlhan, O.A.; Kasimov, S.G.; Otaev, S.Q.; Baskonus, H.M. 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 2019, 7, 235.

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