[HTML][HTML] Artificial neural networks: a practical review of applications involving fractional calculus
E Viera-Martin, JF Gómez-Aguilar… - The European Physical …, 2022 - Springer
In this work, a bibliographic analysis on artificial neural networks (ANNs) using fractional
calculus (FC) theory has been developed to summarize the main features and applications …
calculus (FC) theory has been developed to summarize the main features and applications …
Intelligent computing for numerical treatment of nonlinear prey–predator models
In this study, a new computing paradigm is presented for evaluation of dynamics of
nonlinear prey–predator mathematical model by exploiting the strengths of integrated …
nonlinear prey–predator mathematical model by exploiting the strengths of integrated …
Solving differential equations of fractional order using an optimization technique based on training artificial neural network
M Pakdaman, A Ahmadian, S Effati… - Applied Mathematics …, 2017 - Elsevier
The current study aims to approximate the solution of fractional differential equations (FDEs)
by using the fundamental properties of artificial neural networks (ANNs) for function …
by using the fundamental properties of artificial neural networks (ANNs) for function …
A novel optimization-based physics-informed neural network scheme for solving fractional differential equations
Nowadays, the study of neural networks is one of the most interesting research topics. In this
article, we introduce a novel scheme based on Physics Informed Neural Network (PINN) for …
article, we introduce a novel scheme based on Physics Informed Neural Network (PINN) for …
Numerical solution of doubly singular nonlinear systems using neural networks-based integrated intelligent computing
In this paper, a bio-inspired computational intelligence technique is presented for solving
nonlinear doubly singular system using artificial neural networks (ANNs), genetic algorithms …
nonlinear doubly singular system using artificial neural networks (ANNs), genetic algorithms …
Fractional-order adaptive backstepping control of robotic manipulators in the presence of model uncertainties and external disturbances
N Nikdel, M Badamchizadeh… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
In this paper, the problem of finite-time stabilization and control of an n-degree of freedom
(DOF) robotic manipulator is concerned. Factors such as model nonlinearity, uncertainties …
(DOF) robotic manipulator is concerned. Factors such as model nonlinearity, uncertainties …
Approximation methods for solving fractional optimal control problems
In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …
control problems (FOCPs) are displayed. The considered problems mainly include the …
A new stochastic computing paradigm for nonlinear Painlevé II systems in applications of random matrix theory
The aim of the present work is to investigate the stochastic numerical solutions of nonlinear
Painlevé II systems arising from studies of two-dimensional Yang-Mills theory, growth …
Painlevé II systems arising from studies of two-dimensional Yang-Mills theory, growth …
Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces
A Debbouche, V Antonov - Chaos, Solitons & Fractals, 2017 - Elsevier
This paper introduces a new concept called impulsive control inclusion condition, ie, the
impulsive condition is presented, in the first time, as inclusion related to multivalued maps …
impulsive condition is presented, in the first time, as inclusion related to multivalued maps …
Generalized shifted Chebyshev polynomials for fractional optimal control problems
H Hassani, JAT Machado, E Naraghirad - Communications in Nonlinear …, 2019 - Elsevier
The generalized shifted Chebyshev polynomials (GSCP) represent a novel class of basis
functions that include free coefficients and control parameters. The GSCP are adopted to …
functions that include free coefficients and control parameters. The GSCP are adopted to …