15 papers
Inverse source problem for the space-time fractional parabolic equation on a metric star graph with an integral overdetermination condition
R. R. Ashurov, Z. A Sobirov, A. A. Turemuratova
In the present paper, we investigate the initial-boundary value problem for fractional order parabolic equation on a metric star graph in Sobolev spaces. First, we prove the existe…
Backward and non-local problems for the Rayleigh-Stokes equation
Ravshan Ashurov, Nafosat Vaisova
The Fourier method is used to find conditions on the right-hand side and on the initial data in the Rayleigh-Stokes problem, which ensure the existence and uniqueness of the soluti…
Time-dependent source identification problem for a fractional Schrodinger equation with the Riemann-Liouville derivative
R. R. Ashurov, M. D. Shakarova
The Schrödinger equation ( ), with the Riemann-Liouville derivative is considered. An inverse problem is…
On the uniqueness of solutions of two inverse problems for the subdiffusion equation
Ravshan Ashurov, Yusuf Fayziev
Let be an arbitrary positive selfadjoint operator, defined in a separable Hilbert space . The inverse problems of determining the right-hand side of the equation and the fun…
Inverse problem of determining an order of the Riemann-Liuville time-fractional derivative
Shavkat Alimov, Ravshan Ashurov
The inverse problem of determining the order of the fractional Riemann- Liouville derivative with respect to time in the subdi_usion equation with an arbitrary positive self-adjoin…
An inverse problem of determining the orders of systems of fractional pseudo-differential equations
Ravshan Ashurov, Sabir Umarov
As it is known various dynamical processes can be modeled through the systems of time-fractional order pseudo-differential equations. In the modeling process one frequently faces w…