A non‐local problem for a time‐fractional differential equation with the Hilfer operator on metric graph
Erkinjon KarimovDepartment of Mathematical Analysis and Differential Equations Fergana State University Fergana UzbekistanZ. A. SobirovDepartment of Mathematical Analysis National University of Uzbekistan Tashkent UzbekistanJ.R. KhujakulovV.I.Romanovskiy Institute of Mathematics Academy of Sciences of Uzbekistan Tashkent Uzbekistan
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Аннотация
The main task of the present research is a non‐local boundary value problem for a time‐fractional differential equation involving Hilfer fractional derivative on a metric star graph. The main goal of this work is to stud the uniqueness and the existence of solution of the formulated problem. Using by the method of separation of variables, we find a solution of the investigated problem in the form of the Fourier series. Sufficient classes of given functions, which provide the existence and uniqueness of solution of the considered problem, are defined. Uniqueness of solution is proved, by using a priori estimatesy for the solution.
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Показатели — AkademScholar · Скоро