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  1. 1
    Quarter-sweep preconditioned relaxation method, algorithm and efficiency analysis for fractional mathematical equation

    Quarter-sweep preconditioned relaxation method, algorithm and efficiency analysis for fractional mathematical equation by Andang Sunarto, Praveen Agarwal, Jumat Sulaiman, Chew, Jackel Vui Lung, Shaher Momani

    Published 2021
    “…Research into the recent developments for solving fractional mathematical equations requires accurate and efficient numerical methods. …”
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  2. 2
    An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method

    An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method by A. I., Md. Ismail, Hytham. A., Alkresheh

    Published 2016
    “…In this paper, an algorithm based on a new modification, developed by Duan and Rach, for the Adomian decomposition method (ADM) is generalized to find positive solutions for boundary value problems involving nonlinear fractional ordinary differential equations. …”
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  3. 3
    Fault diagnostic algorithm for precut fractionation column

    Fault diagnostic algorithm for precut fractionation column by Heng, H. Y., Ali, Mohamad Wijayanuddin, Kamsah, Mohd. Zaki

    Published 2004
    “…The fault diagnostic algorithm is supported by the process history based method and developed by using Borland C++ Builder 6.0. …”
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  4. 4
    A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer

    A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer by Admon, Mohd Rashid, Senu, Norazak, Ahmadian, Ali, Majid, Zanariah Abdul, Salahshour, Soheil

    Published 2024
    “…The recent development of knowledge in fractional calculus introduced an advanced superior operator known as fractal–fractional derivative (FFD). …”
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  5. 5
    Solving fractional differential equations using fractional explicit method

    Solving fractional differential equations using fractional explicit method by Yip, Lian Yiung, Zanariah Abdul Majid

    Published 2024
    “…The algorithm of the proposed method is written in C language. …”
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  6. 6
    Solving fractional differential equations using fractional explicit method

    Solving fractional differential equations using fractional explicit method by Yiung, Yip Lian, Abdul Majid, Zanariah

    Published 2024
    “…The algorithm of the proposed method is written in C language. …”
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  7. 7
    Development of a rule-based fault diagnostic advisory system for precut fractionation column

    Development of a rule-based fault diagnostic advisory system for precut fractionation column by Heng, Han Yann

    Published 2005
    “…The advisory system algorithm used process history based method and presented by rule-based approach. …”
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  8. 8
    Feedforward neural network for solving particular fractional differential equations

    Feedforward neural network for solving particular fractional differential equations by Admon, Mohd Rashid

    Published 2024
    “…This research aims to develop a scheme based on a feedforward neural network (FNN) with a vectorized algorithm (FNNVA) for solving FDEs in the Caputo sense (FDEsC) using selected first-order optimization techniques: simple gradient descent (GD), momentum method (MM), and adaptive moment estimation method (Adam). …”
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  9. 9
    Computational approach via half-sweep and preconditioned aor for fractional diffusion

    Computational approach via half-sweep and preconditioned aor for fractional diffusion by Andang Sunarto, Praveen Agarwal, Jumat Sulaiman, Jackel Vui Lung Chew

    Published 2022
    “…The convergence of the developed method is analyzed. Finally, some numerical experiments from our research are given to illustrate the efficiency of our computational approach to solve the proposed problems of time-fractional diffusion. …”
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  10. 10
    A Wavelet-Based Approach For The Analytical Solutions Of Fractional Differential Equations And The Numerical Solutions Of Fractional Integral Equations

    A Wavelet-Based Approach For The Analytical Solutions Of Fractional Differential Equations And The Numerical Solutions Of Fractional Integral Equations by Loong, Marcus Ong Wei

    Published 2024
    “…Following the rise of fractional-order models and consequently, their fractional governing equations, new analytical and numerical methods have been developed and studied extensively. …”
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  11. 11
    Liquid slosh suppression by implementing data-driven fractional order pid controller based on marine predators algorithm

    Liquid slosh suppression by implementing data-driven fractional order pid controller based on marine predators algorithm by Mohd Tumari, Mohd Zaidi Mohd, Mustapha, Nik Mohd Zaitul Akmal, Ahmad, Mohd Ashraf, Saat, Shahrizal, Ghazali, Mohd Riduwan

    Published 2023
    “…Thus, this research paper proposed the development of a data-driven fractional-order PID controller based on marine predators algorithm (MPA) for liquid slosh suppression system. …”
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  12. 12
    Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds

    Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds by Kumar, Deepak, Haja Mohideen, Ahmad Jazlan, Sreeram, Victor, Togneri, Roberto

    Published 2016
    “…In this paper a new frequency weighted partial fraction expansion based model reduction technique is developed based on the partial fraction expansion approach. …”
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  13. 13
    Liquid slosh suppression by implementing data-driven fractional order PID controller based on marine predators algorithm

    Liquid slosh suppression by implementing data-driven fractional order PID controller based on marine predators algorithm by Mohd Zaidi, Mohd Tumari, Mohd Ashraf, Ahmad, Mohd Riduwan, Ghazali, Nik Mohd Zaitul Akmal, Mustapha, Shahrizal, Saat

    Published 2023
    “…Thus, this research paper proposed the development of a data-driven fractional-order PID controller based on marine predators algorithm (MPA) for liquid slosh suppression system. …”
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  14. 14
    Non-Parametric and Parametric Estimations of Cure Fraction Using Right-and Interval-Censored Data

    Non-Parametric and Parametric Estimations of Cure Fraction Using Right-and Interval-Censored Data by Aljawdi, Bader

    Published 2011
    “…In this thesis, we considered two methods via the expectation maximization (EM) algorithm for cure rate estimation based on the BCH model using the two censoring types common to cancer clinical trials; namely, right and interval censoring. …”
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  15. 15
    A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS

    A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS by Amin, R., Senu, N., Hafeez, M.B., Arshad, N.I., Ahmadian, A.L.I., Salahshour, S., Sumelka, W.

    Published 2022
    “…In this paper, we develop a numerical method for the solution of nonlinear fractional integral equations (NFIEs) based on Haar wavelet collocation technique (HWCT). …”
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  16. 16
    Parametric cure fraction models for interval-censoring with a change-point based on a covariate threshold

    Parametric cure fraction models for interval-censoring with a change-point based on a covariate threshold by Ali Taweab, Fauzia

    Published 2015
    “…The parametric maximum likelihood estimation method is employed to verify the performance of the MCM within the framework of the expectation-maximization (EM) algorithm while the estimation methods for other models are employed in a simpler and straightforward setting. …”
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  17. 17
    A computational algorithm for the numerical solution of nonlinear fractional integral equations

    A computational algorithm for the numerical solution of nonlinear fractional integral equations by Amin, Rohul, Senu, Norazak, Hafeez, Muhammad Bilal, Arshad, Noreen Izza, Ahmadian, Ali, Salahshour, Soheil, Sumelka, Wojciech

    Published 2021
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  18. 18
    Process fault detection and diagnosis using Boolean representation on fatty acid fractionation column

    Process fault detection and diagnosis using Boolean representation on fatty acid fractionation column by Othman, M. R., Ali, Mohamad Wijayanuddin, Kamsah, Mohd. Zaki

    Published 2003
    “…The algorithm utilizes process simulator to develop plant model in order to conduct sensitivity analysis and provide dynamic data on selected fault. …”
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  19. 19
    Operational matrix based on orthogonal polynomials and artificial neural networks methods for solving fractal-fractional differential equations

    Operational matrix based on orthogonal polynomials and artificial neural networks methods for solving fractal-fractional differential equations by Shloof, Aml Melad Asan

    Published 2024
    “…In the second part of the thesis, we developed the Hilfer fractal-fractional derivative definition. …”
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  20. 20
    Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution

    Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution by Ahmadian, A., Ismail, F., Salahshour, S., Baleanu, D., Ghaemi, F.

    Published 2017
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