41 citations · 42 across the 41 of their papers we have counts for
7 papers · 1 filter
Stability in recovering the order of a time-fractional evolution equation
Ravshan Ashurov, Masahiro Yamamoto
We consider the recovery of the fractional order in a time-fractional evolution equation with a source of the form , where the temporal factor is also unknown but belong…
Uniqueness in determining the temporal source factor and the fractional order with an unknown initial value
Ravshan Ashurov, Masahiro Yamamoto
We consider inverse problems for a time-fractional diffusion equation with a second-order elliptic operator and the homogeneous Dirichlet boundary condition in a bounded domain of…
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, where $…
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…