Boundary value problem for fractional diffusion equation in a curvilinear angle domain
Қисық сызықты бұрыштық облыстағы бөлшек реттi диффузиялық теңдеу үшiн шеттiк есеп
Краевая задача для дробного диффузионного уравнения в криволинейной угловой области
Pskhu A.V. Ramazanov M.I. Gulmanov N.K. Iskakov S.A.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#105Issue 183 - 95 pp.
We consider a boundary value problem for the fractional diffusion equation in an angle domain with a curvilinear boundary. Existence and uniqueness theorems for solutions are proved. It is shown that Holder continuity of the curvilinear boundary ensures the existence of solutions. The uniqueness is proved in the class of functions that vanish at infinity with a power weight. The solution to the problem is constructed explicitly in terms of the solution of the Volterra integral equation.
boundary value problem , curvilinear angle domain , fractional diffusion equation , noncylindrical domain
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Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center of RAS, Nalchik, Russian Federation
Karagandy University of the name of academician E.A. Buketov, Karaganda, Kazakhstan
Institute of Applied Mathematics and Automation
Karagandy University of the name of academician E.A. Buketov
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026