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

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

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.49, no.4, pp.1191-1206, 2019 (SCI-Expanded)

Publication Type: Article / Article
Volume: 49 Issue: 4
Publication Date: 2019
Doi Number: 10.1216/rmj-2019-49-4-1191
Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1191-1206
Erciyes University Affiliated: Yes

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.