Information on the thesis

The thesis is devoted to classical and generalized solvability of inverse
Cauchy problems and inverse boundary value problems for fractional diusi-
onal equations with unknown minor coecients.
Theorems about the unique solvability of the inverse problems of nding
of unknown, dependent on the time, continuous minor coecients in a time
fractional linear and semi-linear diusion-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 diusion-wave equation and the inverse
time-space fractional Cauchy problems with unknown, dependent on the ti-
me, minor coecients in equations, under given distributions in the right-
hand sides.
Keywords: distribution, derivative of fractional order, pseudo-dierential
operator, Cauchy problem, boundary value problem, inverse problem, over-
determination condition.