Solvability Issues of a Pseudo-Parabolic Fractional Order Equation with a Nonlinear Boundary Condition

Solvability Issues of a Pseudo-Parabolic Fractional Order Equation with a Nonlinear Boundary Condition

This paper is devoted to the fundamental problem of investigating the solvability of initial-boundary value problems for a quasi-linear pseudo-parabolic equation of fractional order with a sufficiently smooth boundary. The difference between the studied problems is that the boundary conditions are s...

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Bibliographic Details
Main Authors: Serik E. Aitzhanov, Abdumauvlen S. Berdyshev, Kymbat S. Bekenayeva
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Fractal and Fractional
Subjects:
pseudo-parabolic equation
the Caputo fractional derivative
Mittag–Leffler function
a priori estimates
Galerkin approximations
weak solution
Online Access:https://www.mdpi.com/2504-3110/5/4/134

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