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The inverse problem of determining the order of the fractional Riemann-Liouville derivative with respect to time in the subdi_usion equation with anarbitrary positive self-adjoint operator having a discrete spectrum isconsidered. Using the classical Fourier method it is proved, that the value ofthe norm jju(t)jj of the solution at a_xed time instance recovers uniquely theorder of derivative. A list of examples is discussed, including a linear systemof fractional di_erential equations, di_erential models with involution,fractional Sturm-Liouville operators, and many others.

Inverse problem of determining an order of the Riemann-Liuville time-fractional derivative