Abstract
Abstract The existence of a unique solution for the identification problem to linear fractional differential equations in Banach spaces were proved in the cases of the nondegenerate equation and of the equation with degenerate operator at the Caputo derivative. The degenerate case was studied for the overdetermination on the phase space and on the degeneracy subspace of the corresponding homogeneous equation. Abstract results are used to the investigation of the identification problem for time-fractional order Sobolev’s system of equations in the cases of the overdetermination on the fluid velocity and on the fluid pressure gradient.
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