Inverse coefficient problems for the heat equation with fractional Laplacian
Mamanazarov A. Suragan D.
June 2025Springer Nature
Fractional Calculus and Applied Analysis
2025#28Issue 31324 - 1352 pp.
In the present paper, we study inverse problems related to determining the time-dependent coefficient and unknown source function of fractional heat equations. Our approach shows that having just one set of data at an observation point ensures the existence of a weak solution for the inverse problem. Furthermore, if there is an additional datum at the observation point, it leads to a specific formula for the time-dependent source coefficient. Moreover, we investigate inverse problems involving non-local data of the fractional heat equation.
fractional heat equation , fractional Laplacian , Inverse problem , inverse-coefficient problem , spectral problem
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Department of Mathematical Analysis and Differential Equations, Fergana State University, Murabbiylar Str. 19, Fergana, 150100, Uzbekistan
Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Department of Mathematical Analysis and Differential Equations
Department of Mathematics
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