In this paper, we consider a time fractional inverse heat conduction problem of finding the temperature distribution and the heat flux on the boundaryx=0, when the time fractional derivative is interpreted in the sense of Caputo. We prove that this problem is an ill-posed problem. For finding a stable solution, the Tikhonov regularization technique is applied. A finite difference scheme is considered by using the given temperature at a pointx =x ∗ ,0
