Search Results - "Galhano, Alexandra"

On development of fractional calculus during the last fifty years by Machado, J. A. Tenreiro, Galhano, Alexandra M. S. F., Trujillo, Juan J.

“…Fractional calculus generalizes integer order derivatives and integrals. During the last half century a considerable progress took place in this scientific…”
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Fractional order inductive phenomena based on the skin effect by Tenreiro Machado, J. A., Galhano, Alexandra M. S. F.

“…The Maxwell equations play a fundamental role in the electromagnetic theory and lead to models useful in physics and engineering. This formalism involves…”
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In memory of Professor José António Tenreiro Machado (1957–2021) by Pinto, Carla M. A., Lopes, António M., Galhano, Alexandra M. S. F.

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A fractional calculus perspective of distributed propeller design by Tenreiro Machado, J., Galhano, Alexandra M.

“…•Dynamics of aircraft distributed propeller design.•New application of fractional calculus.•New concept in system modelling. A new generation of aircraft with…”
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Fractional Stochastic Partial Differential Equations: Numerical Advances and Practical Applications—A State of the Art Review by Moghaddam, Behrouz Parsa, Babaei, Afshin, Dabiri, Arman, Galhano, Alexandra

“…This article aims to provide a comprehensive review of the latest advancements in numerical methods and practical implementations in the field of fractional…”
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A Meshless Radial Point Interpolation Method for Solving Fractional Navier–Stokes Equations by Dabiri, Arman, Moghaddam, Behrouz Parsa, Taghizadeh, Elham, Galhano, Alexandra

“…This paper aims to develop a meshless radial point interpolation (RPI) method for obtaining the numerical solution of fractional Navier–Stokes equations. The…”
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Multidimensional Scaling Visualization Using Parametric Similarity Indices by J. A. Tenreiro Machado, António M. Lopes, Alexandra M. Galhano

“…In this paper, we apply multidimensional scaling (MDS) and parametric similarity indices (PSI) in the analysis of complex systems (CS). Each CS is viewed as a…”
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Efficient Solutions for Stochastic Fractional Differential Equations with a Neutral Delay Using Jacobi Poly-Fractonomials by Babaei, Afshin, Banihashemi, Sedigheh, Parsa Moghaddam, Behrouz, Dabiri, Arman, Galhano, Alexandra

“…This paper introduces a novel numerical technique for solving fractional stochastic differential equations with neutral delays. The method employs a stepwise…”
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Towards fractional sensors by Lopes, António M., Tenreiro Machado, J. A., Galhano, Alexandra M.

“…This paper proposes a new sensor architecture inspired on the classical accelerometer and the fractional calculus. The fractional sensor (FS) adopts a modular…”
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Discretization of Fractional Operators: Analysis by Means of Advanced Computational Techniques by Tenreiro Machado, Jose, Galhano, Alexandra M., Cordeiro, Carla S.

“…This paper studies the discretization of fractional operators by means of advanced clustering methods. The Grünwald–Letnikov fractional operator is…”
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A Numerical Algorithm for Solving Nonlocal Nonlinear Stochastic Delayed Systems with Variable-Order Fractional Brownian Noise by Moghaddam, Behrouz Parsa, Pishbin, Maryam, Mostaghim, Zeinab Salamat, Iyiola, Olaniyi Samuel, Galhano, Alexandra, Lopes, António M.

“…A numerical technique was developed for solving nonlocal nonlinear stochastic delayed differential equations driven by fractional variable-order Brownian…”
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A Clustering Perspective of the Collatz Conjecture by Machado, José A. Tenreiro, Galhano, Alexandra, Cao Labora, Daniel

“…This manuscript focuses on one of the most famous open problems in mathematics, namely the Collatz conjecture. The first part of the paper is devoted to…”
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Hybridization of Block-Pulse and Taylor Polynomials for Approximating 2D Fractional Volterra Integral Equations by Sabegh, Davood Jabari, Ezzati, Reza, Nikan, Omid, Lopes, António M., Galhano, Alexandra M. S. F.

“…This paper proposes an accurate numerical approach for computing the solution of two-dimensional fractional Volterra integral equations. The operational…”
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A Matrix Transform Technique for Distributed-Order Time-Fractional Advection–Dispersion Problems by Derakhshan, Mohammadhossein, Hendy, Ahmed S., Lopes, António M., Galhano, Alexandra, Zaky, Mahmoud A.

“…Invoking the matrix transfer technique, we propose a novel numerical scheme to solve the time-fractional advection–dispersion equation (ADE) with…”
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Empirical Laws and Foreseeing the Future of Technological Progress by Lopes, António, Tenreiro Machado, José, Galhano, Alexandra

“…The Moore's law (ML) is one of many empirical expressions that is used to characterize natural and artificial phenomena. The ML addresses technological…”
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Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms by Tenreiro Machado, J.A., Galhano, Alexandra M., Oliveira, Anabela M., Tar, József K.

“…This study addresses the optimization of rational fraction approximations for the discrete-time calculation of fractional derivatives. The article starts by…”
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Approximating fractional derivatives through the generalized mean by Tenreiro Machado, J.A., Galhano, Alexandra M., Oliveira, Anabela M., Tar, József K.

“…This paper addresses the calculation of fractional order expressions through rational fractions. The article starts by analyzing the techniques adopted in the…”
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Computational Comparison and Visualization of Viruses in the Perspective of Clinical Information by Lopes, António M., Machado, J. A. Tenreiro, Galhano, Alexandra M.

“…This paper addresses the visualization of complex information using multidimensional scaling (MDS). MDS is a technique adopted for processing data with…”
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Performance of Fractional PID Algorithms Controlling Nonlinear Systems with Saturation and Backlash Phenomena by Barbosa, Ramiro S., Tenreiro Machado, J.A., Galhano, Alexandra M.

“…The development of fractional-order controllers is currently one of the most promising fields of research. However, most of the work in this area addresses the…”
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Symbolic Fractional Dynamics by Machado, J. A. Tenreiro, Galhano, Alexandra M.

“…Fractional dynamics reveals long range memory properties of systems described by means of signals represented by real numbers. Alternatively, dynamical systems…”
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