Inverse problem with variable coefficients for the Caputo–Fabrizio derivative equation
https://doi.org/10.25587/2411-9326-2025-2-94-95
Abstract
For an evolution equation with a Caputo–Fabrizio derivative in a Banach space, the solvability of linear inverse coefficient problems is studied. For a linear inverse problem with unknown time-dependent coefficients, conditions for unique solvability are obtained. The wellposedness of this inverse problem is also investigated.
About the Author
A. V. Nagumanova
Chelyabinsk State University
Russian Federation
Russian Federation
Anna V. Nagumanova
129 Kashirin Brothers Street, Chelyabinsk 454000
References
1. Caputo M., Fabrizio M. A new definition of fractional derivative without singular kernel // Fractional Calculus and Applied Analysis Progress in Fractional Differentiation & Applications. 2015. V. 1, N 2. P. 73–85.
Review
For citations:
Nagumanova A.V. Inverse problem with variable coefficients for the Caputo–Fabrizio derivative equation. Mathematical notes of NEFU. 2025;32(2):94-95. (In Russ.) https://doi.org/10.25587/2411-9326-2025-2-94-95
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