Browsing by Author "Thabet Abdeljawad"

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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
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    STUDY OF INTEGER AND FRACTIONAL ORDER COVID-19 MATHEMATICAL MODEL
    (World Scientific, 2023) Rujira Ouncharoen; Kamal Shah; Rahim Ud Din; Thabet Abdeljawad; A.L.I. Ahmadian; Soheil Salahshour; Thanin Sitthiwirattham; T. Abdeljawad; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia; email: tabdeljawad@psu.edu.sa
    In this paper, we study a nonlinear mathematical model which addresses the transmission dynamics of COVID-19. The considered model consists of susceptible (S), exposed (E), infected (I), and recovered (R) individuals. For simplicity, the model is abbreviated as SEIR. Immigration rates of two kinds are involved in susceptible and infected individuals. First of all, the model is formulated. Then via classical analysis, we investigate its local and global stability by using the Jacobian matrix and Lyapunov function method. Further, the fundamental reproduction number R0 is computed for the said model. Then, we simulate the model through the Runge-Kutta method of order two abbreviated as RK2. Finally, we switch over to the fractional order model and investigate its numerical simulations corresponding to different fractional orders by using the fractional order version of the aforementioned numerical method. Finally, graphical presentations are given for the approximate solution of various compartments of the proposed model. Also, a comparison with real data has been shown. © 2023 The Author(s).