41 citations · 42 across the 41 of their papers we have counts for
8 papers · 1 filter
Inverse problem of determining a time-dependent coefficient in the time-fractional subdiffusion equation
Ravshan Ashurov, Elbek Husanov
This paper explores the forward and inverse problems for a fractional subdiffusion equation characterized by time-dependent diffusion and reaction coefficients. Initially, the forw…
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…
Forward and inverse problems for a mixed-type equation with the Caputo fractional derivative and Dezin-type non-local condition
Ravshan Ashurov, Umida Dusanova, Navbahor Nuraliyeva
This work is dedicated to the study of a mixed-type partial differential equation involving a Caputo fractional derivative in the time domain and a classical parabolic equa…
A Nonlinear Nonlocal Problem for the Caputo Fractional Subdiffusion Equation
Ravshan Ashurov, Rajapboy Saparboyev, Navbahor Nuraliyeva
In this paper, we study a time-fractional subdiffusion equation with a nonlinear nonlocal initial condition involving the unknown solution at the final time. The considered problem…
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…
Monotonicity in the parameter of the Mittag-Leffler function and determining the fractional exponent of the subdiffusion equation
Ravshan Ashurov, Ilyoskhuja Sulaymonov
In this paper, we prove the strict monotonicity in the parameter of the Mittag-Leffler functions and . Then, these results are applied to solv…