What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Artificial intelligence
J. A. Tenreiro Machado mostly deals with Fractional calculus, Calculus, Mathematical analysis, Control theory and Applied mathematics.
The various areas that J. A. Tenreiro Machado examines in his Fractional calculus study include Derivative, Control engineering, Control theory, Fourier transform and Mathematical optimization.
His biological study spans a wide range of topics, including Development, Maxwell's equations and Scope.
His Control theory research includes themes of Robot, Chaotic, Robot kinematics and Order.
His work carried out in the field of Applied mathematics brings together such families of science as Hyperbolic partial differential equation, Stability criterion, Fixed-point theorem and Circle criterion.
In his study, which falls under the umbrella issue of Fractal, Backlash and Robustness is strongly linked to Nonlinear system.
His most cited work include:
- Recent history of fractional calculus (908 citations)
- Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering (864 citations)
- Advances in Fractional Calculus (844 citations)
What are the main themes of his work throughout his whole career to date?
Fractional calculus, Control theory, Applied mathematics, Robot and Nonlinear system are his primary areas of study.
His Fractional calculus research integrates issues from Dynamical systems theory, Mathematical optimization and Calculus.
His Control theory study frequently links to related topics such as Control engineering.
Many of his studies involve connections with topics such as Discretization and Applied mathematics.
The concepts of his Robot study are interwoven with issues in Kinematics, Simulation and Actuator.
His study in Nonlinear system focuses on Describing function in particular.
He most often published in these fields:
- Fractional calculus (35.36%)
- Control theory (25.08%)
- Applied mathematics (16.20%)
What were the highlights of his more recent work (between 2018-2021)?
- Fractional calculus (35.36%)
- Applied mathematics (16.20%)
- Nonlinear system (11.84%)
In recent papers he was focusing on the following fields of study:
J. A. Tenreiro Machado mostly deals with Fractional calculus, Applied mathematics, Nonlinear system, Control theory and Multidimensional scaling.
J. A. Tenreiro Machado interconnects Discrete time and continuous time, Series, Entropy, Variable and Calculus in the investigation of issues within Fractional calculus.
His Applied mathematics research incorporates themes from Lagrange multiplier, Basis function, Algebraic equation, Discretization and Numerical analysis.
His study in Nonlinear system is interdisciplinary in nature, drawing from both Weight function, Stochastic differential equation, Partial differential equation and Optimal control.
His Control theory research includes elements of Control, Noise and Electric power system.
His Multidimensional scaling research is multidisciplinary, incorporating perspectives in Creative visualization, Visualization, Theoretical computer science and Hierarchical clustering, Cluster analysis.
Between 2018 and 2021, his most popular works were:
- A review of definitions of fractional derivatives and other operators (75 citations)
- A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation (63 citations)
- Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays. (27 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Artificial intelligence
- Mathematical analysis
J. A. Tenreiro Machado mainly focuses on Fractional calculus, Applied mathematics, Nonlinear system, Discretization and Control theory.
His study with Fractional calculus involves better knowledge in Mathematical analysis.
His Applied mathematics research is multidisciplinary, relying on both Chebyshev polynomials, Basis function, Numerical analysis, Variable and Collocation.
His Nonlinear system study integrates concerns from other disciplines, such as Fractal, Partial differential equation, Type and Mathematical physics.
His research in Control theory intersects with topics in Artificial neural network, Estimation theory and Noise.
His work deals with themes such as Term and Scope, which intersect with Calculus.
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