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, cilt.7, 2019 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 7
Basım Tarihi: 2019
Doi Numarası: 10.3390/math7030235
Dergi Adı: MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Anahtar Kelimeler: Banach space, Sobolev space, Laplace operators, nonlocal boundary conditions, OPTICAL SOLITONS, EIGENVALUES
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Erciyes Üniversitesi Adresli: Evet

Özet

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.