@article{El-hady2026, 
author = {El-sayed El-hady and K. Venkatachalam and Entesar Aljarallah},
title = {On Ulam stability and analysis of Atangana-Baleanu-Caputo and Caputo-Fabrizio-impulsive neutral fractional integro-differential equations},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {4},
pages = {11595-11616},
keywords = {fixed points, AB-Caputo, Caputo-Fabrizio fractional integro-differential equation, Ulam stability, boundary value problems, impulsive},
url = {https://www.sciopen.com/article/10.3934/math.2026478},
doi = {10.3934/math.2026478},
abstract = {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.}
}