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  • Open Access


    Image Splicing Detection Using Generalized Whittaker Function Descriptor

    Dumitru Baleanu1,2,3, Ahmad Sami Al-Shamayleh4, Rabha W. Ibrahim5,*

    CMC-Computers, Materials & Continua, Vol.75, No.2, pp. 3465-3477, 2023, DOI:10.32604/cmc.2023.037162

    Abstract Image forgery is a crucial part of the transmission of misinformation, which may be illegal in some jurisdictions. The powerful image editing software has made it nearly impossible to detect altered images with the naked eye. Images must be protected against attempts to manipulate them. Image authentication methods have gained popularity because of their use in multimedia and multimedia networking applications. Attempts were made to address the consequences of image forgeries by creating algorithms for identifying altered images. Because image tampering detection targets processing techniques such as object removal or addition, identifying altered images remains a major challenge in research.… More >

  • Open Access


    Fractional Order Modeling of Predicting COVID-19 with Isolation and Vaccination Strategies in Morocco

    Lakhlifa Sadek1, Otmane Sadek1, Hamad Talibi Alaoui2, Mohammed S. Abdo3, Kamal Shah4,5, Thabet Abdeljawad4,6,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.2, pp. 1931-1950, 2023, DOI:10.32604/cmes.2023.025033

    Abstract In this work, we present a model that uses the fractional order Caputo derivative for the novel Coronavirus disease 2019 (COVID-19) with different hospitalization strategies for severe and mild cases and incorporate an awareness program. We generalize the SEIR model of the spread of COVID-19 with a private focus on the transmissibility of people who are aware of the disease and follow preventative health measures and people who are ignorant of the disease and do not follow preventive health measures. Moreover, individuals with severe, mild symptoms and asymptomatically infected are also considered. The basic reproduction number () and local stability… More >

  • Open Access


    Study of Fractional Order Dynamical System of Viral Infection Disease under Piecewise Derivative

    Kamal Shah1,2, Hafsa Naz2, Thabet Abdeljawad1,3,*, Bahaaeldin Abdalla1

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.1, pp. 921-941, 2023, DOI:10.32604/cmes.2023.025769

    Abstract This research aims to understand the fractional order dynamics of the deadly Nipah virus (NiV) disease. We focus on using piecewise derivatives in the context of classical and singular kernels of power operators in the Caputo sense to investigate the crossover behavior of the considered dynamical system. We establish some qualitative results about the existence and uniqueness of the solution to the proposed problem. By utilizing the Newtonian polynomials interpolation technique, we recall a powerful algorithm to interpret the numerical findings for the aforesaid model. Here, we remark that the said viral infection is caused by an RNA type virus… More > Graphic Abstract

    Study of Fractional Order Dynamical System of Viral Infection Disease under Piecewise Derivative

  • Open Access


    The Fractional Investigation of Some Nonlinear Partial Differential Equations by Using an Efficient Procedure

    Fairouz Tchier1, Hassan Khan2,3,*, Shahbaz Khan2, Poom Kumam4,5, Ioannis Dassios6

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2137-2153, 2023, DOI:10.32604/cmes.2023.022855

    Abstract The nonlinearity in many problems occurs because of the complexity of the given physical phenomena. The present paper investigates the non-linear fractional partial differential equations’ solutions using the Caputo operator with Laplace residual power series method. It is found that the present technique has a direct and simple implementation to solve the targeted problems. The comparison of the obtained solutions has been done with actual solutions to the problems. The fractional-order solutions are presented and considered to be the focal point of this research article. The results of the proposed technique are highly accurate and provide useful information about the… More >

  • Open Access


    Linear Active Disturbance Rejection Control with a Fractional-Order Integral Action

    Maâmar Bettayeb1,3, Rachid Mansouri2,*, Ubaid M. Al-Saggaf3,4, Abdulrahman U. Alsaggaf3,4, Mohammed Moinuddin3,4

    CMC-Computers, Materials & Continua, Vol.73, No.2, pp. 3057-3079, 2022, DOI:10.32604/cmc.2022.025751

    Abstract Linear active disturbance rejection control (LADRC) is a powerful control structure thanks to its performance in uncertainties, internal and external disturbances estimation and cancelation. An extended state observer (ESO) based controller is the key to the LADRC method. In this article, the LADRC scheme combined with a fractional-order integral action (FOI-LADRC) is proposed to improve the robustness of the standard LADRC. Using the robust closed-loop Bode’s ideal transfer function (BITF), an appropriate pole placement method is proposed to design the set-point tracking controller of the FOI-LADRC scheme. Numerical simulations and experimental results on a cart-pendulum system will illustrate the effectiveness… More >

  • Open Access


    Image Encryption Algorithm Based on New Fractional Beta Chaotic Maps

    Rabha W. Ibrahim1,*, Hayder Natiq2, Ahmed Alkhayyat3, Alaa Kadhim Farhan4, Nadia M. G. Al-Saidi5, Dumitru Baleanu6,7,8

    CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.1, pp. 119-131, 2022, DOI:10.32604/cmes.2022.018343

    Abstract In this study, a new algorithm of fractional beta chaotic maps is proposed to generate chaotic sequences for image encryption. The proposed technique generates multi random sequences by shuffling the image pixel position. This technique is used to blur the pixels connecting the input and encrypted images and to increase the attack resistance. The proposed algorithm makes the encryption process sophisticated by using fractional chaotic maps, which hold the properties of pseudo-randomness. The fractional beta sequences are utilized to alter the image pixels to decryption attacks. The experimental results proved that the proposed image encryption algorithm successfully encrypted and decrypted… More >

  • Open Access


    A Mathematical Model for COVID-19 Image Enhancement based on Mittag-Leffler-Chebyshev Shift

    Ibtisam Aldawish1, Hamid A. Jalab2,*

    CMC-Computers, Materials & Continua, Vol.73, No.1, pp. 1307-1316, 2022, DOI:10.32604/cmc.2022.029445

    Abstract The lungs CT scan is used to visualize the spread of the disease across the lungs to obtain better knowledge of the state of the COVID-19 infection. Accurately diagnosing of COVID-19 disease is a complex challenge that medical system face during the pandemic time. To address this problem, this paper proposes a COVID-19 image enhancement based on Mittag-Leffler-Chebyshev polynomial as pre-processing step for COVID-19 detection and segmentation. The proposed approach comprises the Mittag-Leffler sum convoluted with Chebyshev polynomial. The idea for using the proposed image enhancement model is that it improves images with low gray-level changes by estimating the probability… More >

  • Open Access


    Mathematical Design Enhancing Medical Images Formulated by a Fractal Flame Operator

    Rabha W. Ibrahim1,*, Husam Yahya2, Arkan J. Mohammed3, Nadia M. G. Al-Saidi4, Dumitru Baleanu5,6,7

    Intelligent Automation & Soft Computing, Vol.32, No.2, pp. 937-950, 2022, DOI:10.32604/iasc.2022.021954

    Abstract The interest in using fractal theory and its applications has grown in the field of image processing. Image enhancement is one of the feature processing tools, which aims to improve the details of an image. The enhancement of digital pictures is a challenging task due to the unforeseeable variation in the quality of the captured images. In this study, we present a mathematical model using a local conformable differential operator (LCDO). The proposed model is formulated by the theory of cantor fractal to generalize the definition of LCDO. The main advantage of utilizing LCDO for image enhancement is its capability… More >

  • Open Access


    Fractional Order Linear Active Disturbance Rejection Control for Linear Flexible Joint System

    Ibrahim M. Mehedi1,2,*, Rachid Mansouri3, Ubaid M. Al-Saggaf1,2, Ahmed I. M. Iskanderani1, Maamar Bettayeb4, Abdulah Jeza Aljohani1,2, Thangam Palaniswamy1, Shaikh Abdul Latif5, Abdul Latif6

    CMC-Computers, Materials & Continua, Vol.70, No.3, pp. 5133-5142, 2022, DOI:10.32604/cmc.2022.021018

    Abstract A linear flexible joint system using fractional order linear active disturbance rejection control is studied in this paper. With this control scheme, the performance against disturbances, uncertainties, and attenuation is enhanced. Linear active disturbance rejection control (LADRC) is mainly based on an extended state observer (ESO) technology. A fractional integral (FOI) action is combined with the LADRC technique which proposes a hybrid control scheme like FO-LADRC. Incorporating this FOI action improves the robustness of the standard LADRC. The set-point tracking of the proposed FO-LADRC scheme is designed by Bode's ideal transfer function (BITF) based robust closed-loop concept, an appropriate pole… More >

  • Open Access


    On Parametric Fuzzy Linear Programming Formulated by a Fractal

    Rafid A. Al-Saeedi1, Rabha W. Ibrahim2, Rafida M. Elobaid3,*

    Intelligent Automation & Soft Computing, Vol.30, No.3, pp. 1073-1084, 2021, DOI:10.32604/iasc.2021.018011

    Abstract Fractal strategy is an important tool in manufacturing proposals, including computer design, conserving, power supplies and decorations. In this work, a parametric programming, analysis is proposed to mitigate an optimization problem. By employing a fractal difference equation of the spread functions (local fractional calculus operator) in linear programming, we aim to analyze the restraints and the objective function. This work proposes a new technique of fractal fuzzy linear programming (FFLP) model based on the symmetric triangular fuzzy number. The parameter fuzzy number is selected from the fractal power of the difference equation. Note that this number indicates the fractal parameter,… More >

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