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1
Quarter-sweep preconditioned relaxation method, algorithm and efficiency analysis for fractional mathematical equation
Published 2021“…Research into the recent developments for solving fractional mathematical equations requires accurate and efficient numerical methods. …”
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2
Development of a rule-based fault diagnostic advisory system for precut fractionation column
Published 2005“…The advisory system algorithm used process history based method and presented by rule-based approach. …”
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3
Fault diagnostic algorithm for precut fractionation column
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
Hazard identification on fractionation column using rule based expert system
Published 2001“…The base case study used is a fractionation column of an oleochemical plant. …”
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5
An algorithm for positive solution of boundary value problems of nonlinear fractional differential equations by Adomian decomposition method
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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6
Liquid slosh suppression by implementing data-driven fractional order pid controller based on marine predators algorithm
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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7
Partial fraction expansion based frequency weighted balanced singular perturbation approximation model reduction technique with error bounds
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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8
Liquid slosh suppression by implementing data-driven fractional order PID controller based on marine predators algorithm
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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9
A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer
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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10
Scilab based toolbox for fractional-order systems and PID controllers
Published 2020“…The toolbox will be developed in three stages. Initially, the definitions of fractional-order operators, approximation algorithms and fractional-order differentiator and integrator will be implemented. …”
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11
A novel softsign fractional-order controller optimized by an intelligent nature-inspired algorithm for magnetic levitation control
Published 2025“…The performance of the proposed approach was extensively benchmarked against four modern metaheuristic algorithms (greater cane rat algorithm, catch fish optimization algorithm, RIME algorithm and artificial hummingbird algorithm) under identical conditions. …”
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12
A Wavelet-Based Approach For The Analytical Solutions Of Fractional Differential Equations And The Numerical Solutions Of Fractional Integral Equations
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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13
Data-driven fractional-order PID controller tuning for liquid slosh suppression using marine predators algorithm
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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14
Feedforward neural network for solving particular fractional differential equations
Published 2024“…Then, a single hidden layer of FNN based on Chelyshkov polynomials with an extreme learning machine algorithm (SHLFNNCP-ELM) is constructed for solving FDEsC. …”
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15
Computational approach via half-sweep and preconditioned aor for fractional diffusion
Published 2022“…We construct a preconditioned matrix based on the first matrix and develop a preconditioned accelerated over relaxation (PAOR) algorithm to achieve a high convergence solution. …”
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16
On fractional and semi-soft handover in long term evolution(LTE) networks
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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17
Development of rule-based advisory system from modified hazard and operability study on fatty acid fractionation column
Published 2003“…In order to apply the modified HAZOP study, a rule-based advisory system, which consists of knowledge-based and inference engine has been developed. …”
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18
A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS
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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19
Solving fractional differential equations using fractional explicit method
Published 2024“…This research is focusing in solving the fractional differential equations (FDEs) for linear and non-linear type using fractional explicit method (FEM) with constant step-size. …”
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20
Solving fractional differential equations using fractional explicit method
Published 2024“…This research is focusing in solving the fractional differential equations (FDEs) for linear and non-linear type using fractional explicit method (FEM) with constant step-size. …”
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