Magda Rebelo
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Magda Rebelo has a total of 47 co-authors. Here are the top co-authors by number of shared publications:
- Maria Luisa Morgado
Center for Computational and Stochastic Mathematics, Instituto Superior Técnico, University of Lisbon, 1049-001 Lisbon, Portugal
30 shared publications - Luis Lima Ferrás
Center for Studies of Transport Phenomena (CEFT), Department of Mechanical Engineering, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal
16 shared publications - Neville J. Ford
Department of Mathematics, University of Chester, Chester, UK
11 shared publications - Teresa Diogo
CEMAT Research Centre, Department of Mathematics, Instituto Superior Técnico, Lisbon, Portugal
9 shared publications - Alexandre Miguel Afonso
Center for Studies of Transport Phenomena (CEFT), Department of Mechanical Engineering, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal
5 shared publications - João Miguel Nóbrega
IPC – Institute for Polymers and Composites, University of Minho, Guimarães, Portugal
3 shared publications
Latest Publications
- Open Access
- 6 September 2026
- Published by Elsevier in Communications in Nonlinear Science and Numerical Simulation
- Vol. 163
On the stability and convergence of finite difference methods for Maxwell-Mittag-Leffler viscoelastic flows
- 6 September 2026
- Published by Elsevier in Communications in Nonlinear Science and Numerical Simulation
- Vol. 163
Open AccessOn the stability and convergence of finite difference methods for Maxwell-Mittag-Leffler viscoelastic flows
- Open Access
- 18 August 2026
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 251, 478-495
Spline collocation method for a class of singular fractional differential equations
- 18 August 2026
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 251, 478-495
Open AccessSpline collocation method for a class of singular fractional differential equations
- 27 July 2026
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 250, 925-937
Weakly singular Volterra integral equations of the second kind: Solutions of high order in weighted spaces via Fourier projections
- 27 July 2026
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 250, 925-937
Weakly singular Volterra integral equations of the second kind: Solutions of high order in weighted spaces via Fourier projections
- 2 July 2026
- Published by Springer Nature
- p. 239-260
Fractional SIR Model with Distributed Contacts
- 1 July 2026
- Published by Springer Nature
- p. 285-297
Parameter Estimation for a Springpot–Fractional Dashpot Viscoelastic Model: Optimisation and Numerical Laplace Inversion
- 1 July 2026
- Published by Springer Nature
- p. 285-297
Parameter Estimation for a Springpot–Fractional Dashpot Viscoelastic Model: Optimisation and Numerical Laplace Inversion
- Open Access
- 16 May 2026
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 249, 229-249
SIR model with non-local force of infection
- 16 May 2026
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 249, 229-249
Open AccessSIR model with non-local force of infection
- 28 August 2024
- Published by Elsevier in Applied Numerical Mathematics
- Vol. 207, 45-57
A polynomial collocation method for a class of singular fractional differential equations
- 28 August 2024
- Published by Elsevier in Applied Numerical Mathematics
- Vol. 207, 45-57
A polynomial collocation method for a class of singular fractional differential equations
- 9 February 2024
- Published by Springer Nature in Meccanica
- Vol. 59 (3) , 363-384
A generalisation of the integral Maxwell model: the gK-BKZ model—frame invariance and analytical solutions
- 9 February 2024
- Published by Springer Nature in Meccanica
- Vol. 59 (3) , 363-384
A generalisation of the integral Maxwell model: the gK-BKZ model—frame invariance and analytical solutions
- 7 December 2022
- Published by Springer Nature in Fractional Calculus and Applied Analysis
- Vol. 26 (1) , 370-398
A spectral approach to non-linear weakly singular fractional integro-differential equations
- 7 December 2022
- Published by Springer Nature in Fractional Calculus and Applied Analysis
- Vol. 26 (1) , 370-398
A spectral approach to non-linear weakly singular fractional integro-differential equations
- 29 June 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 46 (1) , 368-387
A generalised distributed‐order Maxwell model
In this work, we present a generalised viscoelastic model using distributed‐order derivatives. The model consists of two distributed‐order elements (distributed springpots) connected in series, as in the Maxwell model. The new model generalises the fractional viscoelastic model presented by Schiessel and Blumen and allows for a more broad and accurate description of complex fluids when a proper weighting function of the order of the derivatives is chosen. We discuss the connection between classical, fractional and viscoelastic models of distributed order and highlight the fundamental concepts that support these constitutive equations. We also derive the relaxation modulus, the storage and loss modulus and the creep compliance for specific weighting functions.
- 29 June 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 46 (1) , 368-387
A generalised distributed‐order Maxwell model
In this work, we present a generalised viscoelastic model using distributed‐order derivatives. The model consists of two distributed‐order elements (distributed springpots) connected in series, as in the Maxwell model. The new model generalises the fractional viscoelastic model presented by Schiessel and Blumen and allows for a more broad and accurate description of complex fluids when a proper weighting function of the order of the derivatives is chosen. We discuss the connection between classical, fractional and viscoelastic models of distributed order and highlight the fundamental concepts that support these constitutive equations. We also derive the relaxation modulus, the storage and loss modulus and the creep compliance for specific weighting functions.