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  • 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 view analysis. A well-known method… 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 value of PPD. The convergence… 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 samples. The scavenging… 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 terms of fractional order. Moreover,… 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 cell proliferation. The combination of… 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 and sensors using MATLAB/SimMechanics. Then,… 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 degradation of biomass quality. Design… More >

  • Open Access

    ARTICLE

    Hybrid Microgrid based on PID Controller with the Modified Particle Swarm Optimization

    R. K. Rojin1,*, M. Mary Linda2

    Intelligent Automation & Soft Computing, Vol.33, No.1, pp. 245-258, 2022, DOI:10.32604/iasc.2022.021834

    Abstract Microgrids (MG) are distribution networks encompassing distributed energy sources. As it obtains the power from these resources, few problems such as instability along with Steady-State (SS) issues are noticed. To address the stability issues, that arise due to disturbances of low magnitude. Small-Signals Stability (SSS) becomes mandatory in the network. Convergence at local optimum is one of the major issues noticed with the existing optimization algorithms. This paper proposes a detailed model of SSS in Direct Current (DC)-Alternate Current (AC) Hybrid MG (HMG) using Proportional Integral and Derivative Controller (PIDC) tuned with Modified Particle Swarm Optimization (MPSO) algorithm to alleviate… More >

  • Open Access

    ARTICLE

    Synthesis, Pharmacological Evaluation, and In-Silico Studies of Thiophene Derivatives

    Raghav Mishra1,2,*, Nitin Kumar3, Neetu Sachan2

    Oncologie, Vol.23, No.4, pp. 493-514, 2021, DOI:10.32604/oncologie.2021.018532

    Abstract The relevance of Retinoic acid receptor-related orphan receptors in cancer progression has sparked interest in developing multifunctional therapeutics. In the search for potentially active novel compounds with anticancer characteristics, the Gewald reaction was employed to develop different thiophene derivatives (8a–8i). Physicochemical and spectroanalytical investigations verified the molecular structures of the synthesized derivatives. Using an in vitro primary anticancer assay, NCI chose all of the synthesized molecules as prototypes and assessed their anticancer efficacy against a panel of various cancer cell lines representing nine distinct neoplasms. The compounds were found to have a wide range of anticancer activity. Following significant anticancer… More >

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