TY - JOUR TI - Study of a coupled system with anti-periodic boundary conditions under piecewise Caputo-Fabrizio derivative AU - Patanarapeelert Nichaphat AU - Asma Asma AU - Ali Arshad AU - Shah Kamal AU - Abdeljawad Thabet AU - Sitthiwirattham Thanin JN - Thermal Science PY - 2023 VL - 27 IS - 101 SP - 287 EP - 300 PT - Article AB - A 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, Krasnoselskii's fixed point theorems. Also some appropriate results for Hyers-Ulam (H-U) stability analysis is established. Proper example is given to verify the results.