An inverse problem of determining orders of systems of fractional pseudo-differential equations

As it is known various dynamical processes can be modeled through systems of time-fractional order pseudo-differential equations. In the modeling process one frequently faces with problem determination adequate orders derivatives in sense Riemann–Liouville or Caputo. This qualified as an inverse problem. The correct (vector) found utilizing available data. this paper we offer new method solution for linear fractional We prove that Fourier transform vector-solution $$\widehat{U}(t, \xi )$$ evaluated at a fixed time instance, which becomes possible due to data, recovers uniquely unknown vector-order system governing