Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions

We consider initial boundary value problems for one-dimensional diffusion equation with time-fractional derivative of order α∈(0,1) which are subject to non-zero Neumann conditions. prove the uniqueness an inverse coefficient problem determining a spatially varying potential and by Dirichlet data at one end point spatial interval. The imposed conditions required be within correct Sobolev space α. Our proof is based on representation formula solution data. Moreover, we apply such in determination another Cauchy point.