On inverse problems for uncoupled space-time fractional operators involving time-dependent coefficients

We study the uncoupled space-time fractional operators involving time-dependent coefficients and formulate corresponding inverse problems. Our goal is to determine variable from exterior partial measurements of Dirichlet-to-Neumann map. exploit integration by parts formula for Riemann-Liouville Caputo derivatives derive Runge approximation property our operator based on unique continuation Laplacian. This enables us extend early determination results space-fractional but time-local case.