Invers problem of determination of unknowns in a T-FRACTIONAL REACTION-DIFFUSION equation
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Date
2023
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Abstract
In this thesis, we treat inverse problems of finding some time dependent coefficients in parabolic equations involving a time fractional derivative and over-determination conditions. We are concerned by the well-posedness of these problems, meaning the existence, uniqueness and continuous dependence on the data of the solution.We start with the determination of the source coefficient in a generalized time fractional diffusion equation, in the case of non-local boundary conditions and an integral constraint by using the Fourier method with a bi-orthogonal system.