7 papers
Coefficient Identification Problem with Integral Overdetermination Condition for Diffusion Equations
R. R. Ashurov, O. T. Mukhiddinova
In this paper, we investigate a nonlinear inverse problem aimed at recovering a coefficient , dependent on both time and a subset of spatial variables, in a diffusion equa…
Source Identification Problem for a Nonlinear Subdiffusion Equation
R. R. Ashurov, O. T. Mukhiddinova
The work is devoted to the study of the inverse problem of determining the right-hand side of a nonlinear subdiffusion equation with a Caputo derivative with respect to time. Nonli…
Space- and Time-Dependent Source Identification Problem with Integral Overdetermination Condition
R. R. Ashurov, O. T. Mukhiddinova
This paper is devoted to the study of the inverse problem of determining the right-hand side of the subdiffusion equation with the Caputo derivative with respect to time. In our ca…
Space-Time-Dependent Source Identification Problem for a Subdiffusion Equation
R. R. Ashurov, O. T. Mukhiddinova
In this paper, we investigate the inverse problem of determining the right-hand side of a subdiffusion equation with a Caputo time derivative, where the right-hand side depends on…
On systems of fractional nonlinear partial differential equations
Ravshan Ashurov, Oqila Muhiddinova
The work considers a system of fractional order partial differential equations. The existence and uniqueness theorems for the classical solution of initial-boundary value problems…
Inverse problem of determining the order of the fractional derivative in the Rayleigh-Stokes equation
Ravshan Ashurov, Oqila Mukhiddinova
In recent years, much attention has been paid to the study of forward and inverse problems for the Rayleigh-Stokes equation in connection with the importance of this equation for a…
A non-local problem for the fractional order Rayleigh-Stokes equation
Ravshan Ashurov, Oqila Mukhiddinova, Sabir Umarov
A nonlocal boundary value problem for the fractional version of the well known in fluid dynamics Rayleigh-Stokes equation is studied. Namely, the condition , w…