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

İlhan, ONUR; Kasimov, Shakirbay; Madraximov, Umrbek; Başkonuş, Hacı

doi:10.1216/rmj-2019-49-4-1191

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

İlhan O. A., Kasimov S. G., Madraximov U. S., Başkonuş H. M.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.49, sa.4, ss.1191-1206, 2019 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 49 Sayı: 4
Basım Tarihi: 2019
Doi Numarası: 10.1216/rmj-2019-49-4-1191
Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1191-1206
Erciyes Üniversitesi Adresli: Evet

Özet

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.