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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…
Initial-boundary value problem for a time-fractional subdiffusion equation on the torus
Ravshan Ashurov, Oqila Muhiddinova
An initial-boundary value problem for a time-fractional subdiffusion equation with the Riemann-Liouville derivatives on N-dimensional torus is considered. The uniqueness and existe…
On the backward problems in time for time-fractional subdiffusion equations
Shavcat Alimov, Ravshan Ashurov
The backward problem for subdiffusion equation with the fractional Riemann-Liouville time-derivative of order ? 2 (0; 1) and an arbitrary positive self-adjoint operator A is consid…
Analogue of the Tricomi problem for the mixed-type equation with fractional derivative. Inverse problems
R. R. Ashurov, R. T. Zunnunov
In this work, an analogue of the Tricomi problem for equations of mixed type with a fractional derivative is investigated. In one part of the domain, the considered equation is a s…
Inverse problem for determining the order of fractional derivative in mixed-type equations
R. R. Ashurov, R. T. Zunnunov
In this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain the considered equation is the subdiffusion…