Heat source determining inverse problem for nonlocal in time equation
Serikbaev D. Ruzhansky M. Tokmagambetov N.
30 January 2025John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2025#48Issue 21768 - 1791 pp.
In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the problem to an operator equation for the source function.
Caputo fractional derivative , direct problem , heat equation , positive operator , source inverse problem , well-posedness
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Centre de Recerca Matemática, Edifici C, Campus Bellaterra, Barcelona, Spain
Institute of Mathematics and Mathematical Modeling
Department of Mathematics: Analysis
School of Mathematical Sciences
Centre de Recerca Matemática
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