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2019 Solvability of the mixed problem of a high-order PDE with fractional time derivatives, Sturm-Liouville operators on spatial variables and non-local boundary conditions
Onur Alp Ilhan, Shakirbay G. Kasimov, Umrbek S. Madraximov, Haci M. Baskonus
Rocky Mountain J. Math. 49(4): 1191-1206 (2019). DOI: 10.1216/RMJ-2019-49-4-1191

Abstract

In this paper, we study the solvability of a mixed problem of a partial differential equation of high order with fractional derivatives with respect to time and with Sturm-Liouville operators with spatial variables and non-local boundary conditions; the solution is found as a series of eigenfunctions of the Sturm-Liouville operator with non-local boundary conditions.

Citation

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Onur Alp Ilhan. Shakirbay G. Kasimov. Umrbek S. Madraximov. Haci M. Baskonus. "Solvability of the mixed problem of a high-order PDE with fractional time derivatives, Sturm-Liouville operators on spatial variables and non-local boundary conditions." Rocky Mountain J. Math. 49 (4) 1191 - 1206, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1191

Information

Published: 2019
First available in Project Euclid: 29 August 2019

zbMATH: 07104713
MathSciNet: MR3998917
Digital Object Identifier: 10.1216/RMJ-2019-49-4-1191

Subjects:
Primary: 35M12, 46B25, 46E39

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 4 • 2019
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