Ulam-Hyers stability Analysis of Caputo fractional order derivative

摘要

This study investigates the Ulam-Hyers stability of fractional derivatives for a given fractional-order system. As a theoretical foundation, fundamental definitions of various fractional derivatives are introduced. By applying the Gronwall inequality, sufficient conditions ensuring stability in the sense of Ulam-Hyers are rigorously established. The derived results constitute notable extensions
and refinements of existing findings in the literature.