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

İlhan, ONUR; Kasimov, Shakirbay; Otaev, Shonazar; Baskonus, Haci

doi: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

İlhan O. A., Kasimov S. G., Otaev S. Q., Baskonus H. M.

MATHEMATICS, vol.7, 2019 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 7
Publication Date: 2019
Doi Number: 10.3390/math7030235
Journal Name: MATHEMATICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Keywords: Banach space, Sobolev space, Laplace operators, nonlocal boundary conditions, OPTICAL SOLITONS, EIGENVALUES
Open Archive Collection: AVESIS Open Access Collection
Erciyes University Affiliated: Yes

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.