Nichaphat PatanarapeelertAsma AsmaArshad AliKamal ShahThabet AbdeljawadThanin Sitthiwirattham2025-03-102025-03-102023Thermal Science354983610.2298/TSCI23S1287P2-s2.0-85163070898https://repository.dusit.ac.th//handle/123456789/4533A coupled system under Caputo-Fabrizio fractional order derivative (CFFOD) with antiperiodic boundary condition is considered. We use piecewise version of CFFOD. Sufficient conditions for the existence and uniqueness of solution by applying the Banach, KrasnoselskiiÕs fixed point theorems. Also some appropriate results for Hyers-Ulam (H-U) stability analysis is established. Proper example is given to verify the results. © 2023 Society of Thermal Engineers of Serbia Published by the Vin_a Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditionsAll Open Access; Bronze Open Accessfixed point techniquepiecewise CFFODstability resultsArticleScopus