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

On the inverse problem of identifying an unknown coefficient in a space-time fractional differential equation