  In this study, we focus on identifying solution and an unknown
space-dependent coefficient in a space-time fractional differential equation by
employing fractional Taylor series method. The substantial advantage of this
method is that we don't take any over-measured data into account. Consequently,
we determine the solution and unknown coefficient more precisely. The presented
examples illustrate that outcomes of this method are in high agreement with the
exact ones of the corresponding problem. Moreover, it can be implemented and
applied effectively comparing with other methods.
