Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

We consider a one-dimensional fractional diffusion equation: ∂ α t u(x, t) = ∂ ∂x p(x) ∂u ∂x (x, t) , 0 < x < ℓ, where 0 < α < 1 and ∂ α t denotes the Caputo derivative in time of order α.We attach the homogeneous Neumann boundary condition at x = 0, ℓ and the initial value given by the Dirac delta ... View More