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


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

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

  • 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
  • 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.