Browsing by Author "Al-Mekhlafi, S. M."

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A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model
(2021) Sweilam, N. H.; Al-Mekhlafi, S. M.; Baleanu, Dumitru
In this paper, a new stochastic fractional Coronavirus (2019-nCov) model with modified parameters is presented. The proposed stochastic COVID-19 model describes well the real data of daily confirmed cases in Wuhan. Moreover, a novel fractional order operator is introduced, it is a linear combination of Caputo's fractional derivative and Riemann-Liouville integral. Milstein's higher order method is constructed with the new fractional order operator to study the model problem. The mean square stability of Milstein algorithm is proved. Numerical results and comparative studies are introduced.
Comparative Study for Optimal Control Nonlinear Variable-Order Fractional Tumor Model
(Elsevier LTD., 2020) Sweilam, N. H.; Al-Mekhlafi, S. M.; Alshomrani, Ali Saleh; Baleanu, Dumitru
Citation - WoS: 18
Citation - Scopus: 21
On the Optimal Control of Coronavirus (2019-Ncov) Mathematical Model; a Numerical Approach
(Springer, 2020) Al-Mekhlafi, S. M.; Albalawi, A. O.; Baleanu, D.; Sweilam, N. H.
In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the suggested model is the main objective of this work. Two control variables are presented in this model to minimize the population number of infected and asymptotically infected people. Necessary optimality conditions are derived. The Grunwald-Letnikov nonstandard weighted average finite difference method is constructed for simulating the proposed optimal control system. The stability of the proposed method is proved. In order to validate the theoretical results, numerical simulations and comparative studies are given.