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  1. 1
    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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  2. 2
    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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  3. 3
    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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  4. 4
    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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  5. 5
    An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks

    An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks by Ali, Amina, Senu, Norazak, Wahi, Nadihah, Almakayeel, Naif, Ahmadian, Ali

    Published 2024
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  6. 6
    On fractional and semi-soft handover in long term evolution(LTE) networks

    On fractional and semi-soft handover in long term evolution(LTE) networks by Hussein, Yaseein Soubhi, Mohd Ali, Borhanuddin, Varahram, Pooria

    Published 2011
    “…In this paper a hybrid HO algorithms called semi-soft handover (SSHO) and fractional soft handover (FSHO) in long term evolution (LTE) system are studied. …”
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  7. 7
    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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  8. 8
    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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  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 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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  11. 11
    Data-driven fractional-order PID controller tuning for liquid slosh suppression using marine predators algorithm

    Data-driven fractional-order PID controller tuning for liquid slosh suppression using marine predators algorithm by Mohd Zaidi, Mohd Tumari, Mohd Ashraf, Ahmad, Mohd Helmi, Suid, Mohd Riduwan, Ghazali, Shahrizal, Saat

    Published 2023
    “…In response, this study introduces a data-driven fractional-order PID (FOPID) controller designed using the Marine Predators Algorithm (MPA) for suppressing liquid slosh. …”
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  12. 12
    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 study also focuses on solving fractal-fractional differential equations in the Caputo sense with a power-law kernel (FFDEsCP) using FNN in two hidden layers with a vectorized algorithm alongside Adam (FNN2HLVA-Adam). …”
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  13. 13
    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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  14. 14
    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
    “…A new and accurate numerical algorithm using a spectral tau technique based on the generalized fractional Legendre polynomials (GFLPs) is developed to solve those problems under uncertainty. …”
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  15. 15
    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
    “…In addition, the models are further developed to accommodate the problem of changepoint effect for the covariate and a smoothed likelihood to obtain relevant estimators is proposed. …”
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  16. 16
    Mathematical modelling of mass transfer in a multi-stage rotating disc contactor column

    Mathematical modelling of mass transfer in a multi-stage rotating disc contactor column by Maan, Normah

    Published 2005
    “…A series of algorithms in solving the inverse problem were then developed corresponding to the forward models. …”
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  17. 17
    An effective spectral approach to solving fractal differential equations of variable order based on the non-singular kernel derivative

    An effective spectral approach to solving fractal differential equations of variable order based on the non-singular kernel derivative by Basim, M., Senu, N., Ahmadian, A., Ibrahim, Z. B., Salahshour, S.

    Published 2023
    “…A new differential operators class has been discovered utilising fractional and variable-order fractal Atangana-Baleanu derivatives that have inspired the develop-ment of differential equations new class. …”
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  18. 18
    A hybrid technique of deep learning neural networks with finite difference method for higher order fractional Volterra-Fredholm integro-differential equations with φ-Caputo operator

    A hybrid technique of deep learning neural networks with finite difference method for higher order fractional Volterra-Fredholm integro-differential equations with φ-Caputo operato... by Alsa’Di, Kawthar, Nik Long, Nik Mohd Asri

    Published 2025
    “…The numerical examples demonstrated the efficiency of the proposed method in solving the complicated higher order fractional problems of linear and non-linear terms.…”
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  19. 19
    An advanced scheme based on Artificial Intelligence technique for solving nonlinear Riccati systems

    An advanced scheme based on Artificial Intelligence technique for solving nonlinear Riccati systems by Admon, Mohd Rashid, Senu, Norazak, Ahmadian, Ali, Abdul Majid, Zanariah

    Published 2024
    “…Two different initial value problems in integer-order derivatives and fractional-order derivatives are discussed. …”
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  20. 20
    Mixed convection boundary layer flow embedded in porous medium with nanofluids

    Mixed convection boundary layer flow embedded in porous medium with nanofluids by Mat Yasin, Mohd Hafizi

    Published 2013
    “…Shooting method from MAPLE is used to solve the problem. This well-known technique is an iterative algorithm which attempts to identify appropriate initial conditions for a related initial value problem (IVP) that provides the solution to the original boundary value problem (BVP). …”
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