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  • Open Access

    ARTICLE

    A Detailed Mathematical Analysis of the Vaccination Model for COVID-19

    Abeer S. Alnahdi1,*, Mdi B. Jeelani1, Hanan A. Wahash2, Mansour A. Abdulwasaa3,4

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1315-1343, 2023, DOI:10.32604/cmes.2022.023694

    Abstract This study aims to structure and evaluate a new COVID-19 model which predicts vaccination effect in the Kingdom of Saudi Arabia (KSA) under Atangana-Baleanu-Caputo (ABC) fractional derivatives. On the statistical aspect, we analyze the collected statistical data of fully vaccinated people from June 01, 2021, to February 15, 2022. Then we apply the Eviews program to find the best model for predicting the vaccination against this pandemic, based on daily series data from February 16, 2022, to April 15, 2022. The results of data analysis show that the appropriate model is autoregressive integrated moving average… More >

  • Open Access

    ARTICLE

    Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with Caputo Fractional Derivative

    Dandan Dai1, Xiaoyu Li2, Zhiyuan Li2, Wei Zhang3, Yulan Wang2,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1371-1392, 2023, DOI:10.32604/cmes.2022.022323

    Abstract Although some numerical methods of the fractional-order chaotic systems have been announced, high-precision numerical methods have always been the direction that researchers strive to pursue. Based on this problem, this paper introduces a high-precision numerical approach. Some complex dynamic behavior of fractional-order Lorenz chaotic systems are shown by using the present method. We observe some novel dynamic behavior in numerical experiments which are unlike any that have been previously discovered in numerical experiments or theoretical studies. We investigate the influence of , , on the numerical solution of fractional-order Lorenz chaotic systems. The simulation results More >

  • Open Access

    ARTICLE

    The Fractional Investigation of Fornberg-Whitham Equation Using an Efficient Technique

    Hassan Khan1,2, Poom Kumam3,4,*, Asif Nawaz1, Qasim Khan1, Shahbaz Khan1

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.1, pp. 259-273, 2023, DOI:10.32604/cmes.2022.021332

    Abstract In the last few decades, it has become increasingly clear that fractional calculus always plays a very significant role in various branches of applied sciences. For this reason, fractional partial differential equations (FPDEs) are of more importance to model the different physical processes in nature more accurately. Therefore, the analytical or numerical solutions to these problems are taken into serious consideration and several techniques or algorithms have been developed for their solution. In the current work, the idea of fractional calculus has been used, and fractional Fornberg Whitham equation (FFWE) is represented in its fractional More >

  • Open Access

    ARTICLE

    Exact Solutions and Finite Time Stability of Linear Conformable Fractional Systems with Pure Delay

    Ahmed M. Elshenhab1,2,*, Xingtao Wang1, Fatemah Mofarreh3, Omar Bazighifan4,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.2, pp. 927-940, 2023, DOI:10.32604/cmes.2022.021512

    Abstract We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay. By using new conformable delayed matrix functions and the method of variation, we obtain a representation of their solutions. As an application, we derive a finite time stability result using the representation of solutions and a norm estimation of the conformable delayed matrix functions. The obtained results are new, and they extend and improve some existing ones. Finally, an example is presented to illustrate the validity of our theoretical results. More >

  • Open Access

    ARTICLE

    Improved High Order Model-Free Adaptive Iterative Learning Control with Disturbance Compensation and Enhanced Convergence

    Zhiguo Wang*, Fangqing Gao, Fei Liu

    CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.1, pp. 343-355, 2023, DOI:10.32604/cmes.2022.020569

    Abstract In this paper, an improved high-order model-free adaptive iterative control (IHOMFAILC) method for a class of nonlinear discrete-time systems is proposed based on the compact format dynamic linearization method. This method adds the differential of tracking error in the criteria function to compensate for the effect of the random disturbance. Meanwhile, a high-order estimation algorithm is used to estimate the value of pseudo partial derivative (PPD), that is, the current value of PPD is updated by that of previous iterations. Thus the rapid convergence of the maximum tracking error is not limited by the initial More >

  • Open Access

    ARTICLE

    Synthesis and Antioxidant Activity of (E) ω-Formylcamphene-Based Thiazole Hydrazone Derivatives

    Jiayu Chang1, Qingying Ding1, Chong Zhong1, Yao Long2, Zhuanquan Xiao3, Hai Luo1, Yuling Yang1, Zongde Wang1, Shengliang Liao1, Jinzhu Chen2, Shangxing Chen1,*, Ji Zhang1,*

    Journal of Renewable Materials, Vol.11, No.1, pp. 379-391, 2023, DOI:10.32604/jrm.2023.022535

    Abstract (E) ω-formylcamphene was synthesized from α-pinene, the main component of turpentine, and then reacted with thiosemicarbazide to obtain (E) ω-formylcamphene thiosemicarbazide 3, which was reacted with 14 α-bromoacetophenone compounds to obtain 14 (E) ω-formylcamphene thiazole hydrazone compounds 5a5n; the yields were all above 80%. The structures of the target compounds were characterized by IR, 1H-NMR, 13C-NMR, and HR-MS analyses. Then, 500, 250, 125, 62.5, and 31.25 mg/L drug solutions were prepared. Free radical scavenging experiments of 1, 1-diphenyl-2-picrylhydrazyl (DPPH) and 2, 2-bis (3-ethyl-benzothiazole-6-sulfonic acid) diammonium salt (ABTS) were carried out with Trolox and L-ascorbic acid as the control More >

  • Open Access

    ARTICLE

    Regarding Deeper Properties of the Fractional Order Kundu-Eckhaus Equation and Massive Thirring Model

    Yaya Wang1, P. Veeresha2, D. G. Prakasha3, Haci Mehmet Baskonus4,*, Wei Gao5

    CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.3, pp. 697-717, 2022, DOI:10.32604/cmes.2022.021865

    Abstract In this paper, the fractional natural decomposition method (FNDM) is employed to find the solution for the KunduEckhaus equation and coupled fractional differential equations describing the massive Thirring model. The massive Thirring model consists of a system of two nonlinear complex differential equations, and it plays a dynamic role in quantum field theory. The fractional derivative is considered in the Caputo sense, and the projected algorithm is a graceful mixture of Adomian decomposition scheme with natural transform technique. In order to illustrate and validate the efficiency of the future technique, we analyzed projected phenomena in More >

  • Open Access

    ARTICLE

    Experimental and In Silico Analysis of Cordycepin and its Derivatives as Endometrial Cancer Treatment

    Pedro Fong*1, Cheng N. Ao*†1, Kai I. Tou*, Ka M. Huang*, Chi C. Cheong*, Li R. Meng*

    Oncology Research, Vol.27, No.2, pp. 237-251, 2019, DOI:10.3727/096504018X15235274183790

    Abstract The aim of this study was to investigate the inhibition effects of cordycepin and its derivatives on endometrial cancer cell growth. Cytotoxicity MTT assays, clonogenic assays, and flow cytometry were used to observe the effects on apoptosis and regulation of the cell cycle of Ishikawa cells under various concentrations of cordycepin, cisplatin, and combinations of the two. Validated in silico docking simulations were performed on 31 cordycepin derivatives against adenosine deaminase (ADA) to predict their binding affinities and hence their potential tendency to be metabolized by ADA. Cordycepin has a significant dose-dependent inhibitory effect on More >

  • Open Access

    ARTICLE

    Modeling and Simulation of Two Axes Gimbal Using Fuzzy Control

    Ayman A. Aly1, Mohamed O. Elhabib2, Bassem F. Felemban1, B. Saleh1, Dac-Nhuong Le3,4,*

    CMC-Computers, Materials & Continua, Vol.72, No.1, pp. 93-107, 2022, DOI:10.32604/cmc.2022.019681

    Abstract The application of the guided missile seeker is to provide stability to the sensor's line of sight toward a target by isolating it from the missile motion and vibration. The main objective of this paper is not only to present the physical modeling of two axes gimbal system but also to improve its performance through using fuzzy logic controlling approach. The paper is started by deriving the mathematical model for gimbals motion using Newton's second law, followed by designing the mechanical parts of model using SOLIDWORKS and converted to xml file to connect dc motors More >

  • Open Access

    ARTICLE

    PSO Based Multi-Objective Approach for Controlling PID Controller

    Harsh Goud1, Prakash Chandra Sharma2, Kashif Nisar3, Ag. Asri Ag. Ibrahim3,*, Muhammad Reazul Haque4, Narendra Singh Yadav2, Pankaj Swarnkar5, Manoj Gupta6, Laxmi Chand6

    CMC-Computers, Materials & Continua, Vol.71, No.3, pp. 4409-4423, 2022, DOI:10.32604/cmc.2022.019217

    Abstract CSTR (Continuous stirred tank reactor) is employed in process control and chemical industries to improve response characteristics and system efficiency. It has a highly nonlinear characteristic that includes complexities in its control and design. Dynamic performance is compassionate to change in system parameters which need more effort for planning a significant controller for CSTR. The reactor temperature changes in either direction from the defined reference value. It is important to note that the intensity of chemical actions inside the CSTR is dependent on the various levels of temperature, and deviation from reference values may cause… More >

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