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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 176, Pages 121–128 (Mi into592)

This article is cited in 1 paper

On a problem for a parabolic-hyperbolic equation with a nonlinear loaded part

O. Kh. Abdullaev

Romanovskii Mathematical Institute, Academy of Sciences of UzSSR

Abstract: The existence and uniqueness theorems of the solution to the boundary-value problem for a parabolic-hyperbolic fractional-order equation with the gluing condition are proved.

Keywords: fractional derivative, loaded equation, differential equation, integral equation.

UDC: 517.96

MSC: 34K37

DOI: 10.36535/0233-6723-2020-176-121-128



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© Steklov Math. Inst. of RAS, 2025