14 papers
Uniqueness for an inverse problem of determining order and temporal factor of the source for time-fractional evolution equations
Ravshan Ashurov, Masahiro Yamamoto
This paper addresses the inverse problem of simultaneously recovering the fractional order and the time-dependent source factor in the Cauchy problem…
Forward and inverse problems for a time-fractional pseudo-parabolic equation with variable coefficients
Ravshan Ashurov, Elbek Husanov
In this work, forward and inverse problems for a time-fractional pseudo-parabolic equation are investigated in a Hilbert space, wher…
The backward problem for a multi-term time-fractional diffusion equation
Ravshan Ashurov, Damir Shamuratov
This paper is devoted to the investigation of the backward problem for a multi-term time-fractional diffusion equation. Backward problems for fractional diffusion equations are typ…
Non-local time problem for the Rayleigh--Stokes type fractional equations
Ravshan Ashurov, Yusuf Fayziyev, Nuriddin Khushvaktov
Despite the growing interest in fractional generalizations of classical fluid dynamics equations, the fractional Rayleigh--Stokes problem has previously been studied almost exclusi…
Inverse problem for a multi-term time-fractional diffusion equation with the Caputo derivatives
Ravshan Ashurov, Damir Shamuratov
This paper investigates an inverse source problem for a multi-term time-fractional diffusion equation with Caputo derivatives. The source term is separable as \(f(x)g(t)\), with th…
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…