On Ulam stability and analysis of Atangana-Baleanu-Caputo and Caputo-Fabrizio-impulsive neutral fractional integro-differential equations

This article focuses on the Ulam-Hyers stability (U-HS) of impulsive neutral fractional integro-differential equations (INFIDEs) involving the Atangana-Baleanu-Caputo (ABC) and Caputo-Fabrizio (C-F) fractional derivatives (FDs) in a Banach space. The Banach contraction mapping principle (BCMP) and Krasnoselskii's fixed point theorem (KFPT) are used to prove the existence and uniqueness of solutions (E-US). To highlight the usefulness of the theoretical insights, carefully crafted examples are introduced, enhancing and building upon prior scholarly contributions.