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Integral Condition for Benney-luke Type Equation the Problem Given With the Right and Inverse Problem

Year: 2024
Type: article
Abstract: The article studies the fractional order equation of the form where , for the time interval with the integral boundary condition Here, is a self-adjoint, unbounded, positive operator defined on a separable Hilbert space , and is a compact operator. The article demonstrates the existence and uniqueness of solutions to the problem using the Fourier method. Additionally, it addresses the inverse problem concerning the determination of the right-hand side of the equation.
Author: Dekhkanov Khusan Tursunovich
Language: English
Open Access status: green
OpenAlex ID: W6930756859
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