Browsing by Author "Arshad Ali"

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    STUDY OF A COUPLED SYSTEM WITH ANTI-PERIODIC BOUNDARY CONDITIONS UNDER PIECEWISE CAPUTO-FABRIZIO DERIVATIVE
    (Serbian Society of Heat Transfer Engineers, 2023) Nichaphat Patanarapeelert; Asma Asma; Arshad Ali; Kamal Shah; Thabet Abdeljawad; Thanin Sitthiwirattham; T. Abdeljawad; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia; email: tabdeljawad@psu.edu.sa
    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, 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 conditions