Mathematical modeling

Local solvability of the nonlinear inverse problem for the equation with Dzhrbashyan-Nersesyan derivatives

D. V. Melekhina, V. E. Fedorov

Chelyabinsk State University

Abstract: A class of nonlinear identification problems for differential equations in Banach spaces resolved with respect to the highest Dzhrbashyan - Nersesyan fractional derivative is investigated. The existence and the uniqueness of a local solution of the identification problem are proved by the method of contraction maps.

Keywords: Dzhrbashyan–Nersesyan fractional derivative, inverse problem, identification problem

UDC: 517.95

DOI: 10.25587/2411-9326-2025-2-90-91