A multidimensional diffusion coefficient determination problem for the time-fractional equation

Authors: DURDIMUROD DURDIEV, ASKAR RAHMONOV

Abstract: In this paper, we consider a multidimensional inverse problem for a fractional diffusion equation. The inverse problem is reduced to the equivalent integral equation. For solving this equation the Schauder principle is applied. The local existence and uniqueness results are obtained.

Keywords: Diffusion equation, Gerasimov-Caputo fractional derivative, overdetermination integral condition, Hölder space, integral equation

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