Existence and uniqueness in an inverse source problem for a one-dimensional time-fractional diffusion equation
نویسنده
چکیده
In this study, an inverse source problem for a one-dimensional timefractional diffusion equation is considered. An existence theorem based on the minimization of an error functional between the output data and the additional data is proved. Then it is showed that the unknown source function can be determined uniquely by an additional data u(0, t), 0 ≤ t ≤ T using an auxiliary uniqueness result and the Duhamel’s principle.
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