On a nonlocal problem for a fourth-order parabolic equation with the fractional Dzhrbashyan–Nersesyan operator


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Abstract

We study a nonlocal problem for a fractional partial differential equation with the Dzhrbashyan–Nersesyan fractional differentiation operator. By separation of variables, we prove a theorem on the existence and uniqueness of a regular solution of this problem.

About the authors

A. S. Berdyshev

Abai Kazakh National Pedagogical University; Tashkent State Institute of Oriental Studies

Author for correspondence.
Email: berdyshev@mail.ru
Kazakhstan, Almaty; Tashkent

B. J. Kadirkulov

Abai Kazakh National Pedagogical University; Tashkent State Institute of Oriental Studies

Email: berdyshev@mail.ru
Kazakhstan, Almaty; Tashkent

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