Mathematical modeling

Strongly continuous resolving operators families for equations with the Riemann-Liouville derivative

V. E. Fedorov

Chelyabinsk State University

Abstract: The search is carried out for necessary and sufficient conditions on a linear closed operator for the existence of a strongly continuous resolving family to an equation resolved with respect to the Riemann - Liouville fractional derivative, with the corresponding operator at the unknown function.

Keywords: strongly continuous resolving family of operators, Riemann — Liouville derivative, Cauchy type problem

UDC: 517.955.4

DOI: 10.25587/2411-9326-2025-2-118-119