Mathematical modeling

Inverse problem with variable coefficients for the Caputo-Fabrizio derivative equation

A. V. Nagumanova

Chelyabinsk State University

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.

Keywords: Caputo–Fabrizio derivative, coefficient inverse problem

UDC: 517.95