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  1. 1

    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
    “…On the other hand, much of the numerical analysis of fractional equations have been focused on that of differential equations and thus, algorithms for fractional integral equations have been found wanting. …”
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    Thesis
  2. 2

    Image clustering comparison of two color segmentation techniques by Subramaniam, Kavitha Pichaiyan

    Published 2010
    “…Finally, the algorithm found, which would solve the image segmentation problem.…”
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    Thesis
  3. 3

    Fractional Stochastic Gradient Descent Based Learning Algorithm For Multi-layer Perceptron Neural Networks by Sadiq, A., Yahya, N.

    Published 2021
    “…In order to accelerate the performance, we design a combination of integral and fractional gradient terms. The proposed fractional back-propagation multi-layer perceptron (FBP-MLP) method is based on fractional calculus and it utilizes the concept of fractional power gradient which provides complementary information about the cost function that helps in rapid convergence. …”
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  4. 4

    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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    Article
  5. 5

    Automatic Number Plate Recognition on android platform: With some Java code excerpts by ., Abdul Mutholib, Gunawan, Teddy Surya, Kartiwi, Mira

    Published 2016
    “…On the other hand, the traditional algorithm using template matching only obtained 83.65% recognition rate with 0.97 second processing time. …”
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    Book
  6. 6

    A novel softsign fractional-order controller optimized by an intelligent nature-inspired algorithm for magnetic levitation control by Ahmad, Mohd Ashraf, Izci, Davut, Ekinci, Serdar, Mohd Tumari, Mohd Zaidi

    Published 2025
    “…This study presents a novel softsign-function-based fractional-order proportional–integral–derivative (softsign-FOPID) controller optimized using the fungal growth optimizer (FGO) for the stabilization and precise position control of an unstable magnetic ball suspension system. …”
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  7. 7

    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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    Article
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    Optimal Tuning of Fractional Order Sliding Mode Controller for PMSM Speed Using Neural Network with Reinforcement Learning by Zahraoui Y., Zaihidee F.M., Kermadi M., Mekhilef S., Alhamrouni I., Seyedmahmoudian M., Stojcevski A.

    Published 2024
    “…The most commonly used objective functions in the literature were also compared, including the integral time multiplied square error, integral square error, and integral absolute error. …”
    Article
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    Scilab based toolbox for fractional-order systems and PID controllers by Bingi, K., Ibrahim, R., Karsiti, M.N., Hassan, S.M., Harindran, V.R.

    Published 2020
    “…Initially, the definitions of fractional-order operators, approximation algorithms and fractional-order differentiator and integrator will be implemented. …”
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    Article
  12. 12

    Assessment of energy storage and renewable energy sources-based two-area microgrid system using optimized fractional order controllers by Peddakapu, K., Mohd Rusllim, Mohamed, Srinivasarao, P., Arya, Yogendra

    Published 2024
    “…This study introduces a cascaded control system, combining a novel fractional order integral derivative (FOID) with a fractional order proportional integral derivative with filter (FOPIDN) controllers, denoted as CFOID-FOPIDN. …”
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    Obso based fractional pid for mppt-pitch control of wind turbine systems by Mehedi, I.M., Al-Saggaf, U.M., Vellingiri, M.T., Milyani, A.H., Saad, N.B., Yahaya, N.Z.B.

    Published 2022
    “…The proposed model aims to effectually extract the maximum power point (MPPT) in the low range of weather conditions and save the WT in high wind regions by the use of pitch control. The OBSO algorithm is derived from the integration of oppositional based learning (OBL) concept with the traditional BSO algorithm in order to improve the convergence rate, which is then applied to effectively choose the parameters involved in the FOPID controller. …”
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    Article
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    Operational matrix based on orthogonal polynomials and artificial neural networks methods for solving fractal-fractional differential equations by Shloof, Aml Melad Asan

    Published 2024
    “…This research is centered on deriving two methods and formulating two novel definitions of fractal-fractional differential and integral operators. The first part of this thesis presents a new definition of the generalized Caputo differential and integral operators with fractional order and fractal dimension. …”
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    Thesis
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    Investigation of firefly algorithm and chaos firefly algorithm for load prequency control / Zaid Najid by Zaid, Najid

    Published 2015
    “…For this reason, this research studies the controller aspect of LFC by using the Fractional Order Integral-Derivative (FOID) controller or IλDμ Controller. …”
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    Thesis
  19. 19

    Quaternion-based dynamic algorithm for random generation of solid 4D cylindrical curves in RVE modeling by Hamat, Sanusi, Ishak, Mohamad Ridzwan, Kelly, Piaras, Salit, Mohd Sapuan, Yidris, Noorfaizal, Ali, Syamir Alihan Showkat, Hussin, Mohd Sabri, Mohd Dawi, Mohd Syedi Imran

    Published 2025
    “…A quaternion‐based dynamic algorithm is developed to populate Representative Volume Elements (RVEs) with solid 4D cylindrical fibers, combining spatial centerline coordinates (x,y,z) and quaternion‐encoded orientation. …”
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    Article
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