Shumska V. Inverse coefficient problems for the diffusion equations with fractional derivatives

The thesis is devoted to classical and generalized solvability of inverse Cauchy problems and inverse boundary value problems for fractional diffusional equations with unknown minor coefficients. Theorems about the unique solvability of the inverse problems of finding of unknown, dependent on the time, continuous minor coefficients in a time fractional linear and semi-linear diffusion-wave equations under integral type over-determination conditions and regular datas are obtained. There are established the unique solvability of the inverse boundary value problem for a time fractional diffusion-wave equation and the inverse time-space fractional Cauchy problems with unknown, dependent on the time, minor coefficients in equations, under given distributions in the right-hand sides.