Papers in International Journals

• Caetano, Constantino P.; Morgado, M. Luísa; Lima, Pedro M.; Hens, Niel; Nunes, Baltazar (2024) A fractional order SIR model describing hesitancy to the COVID-19 vaccination campaign in Portugal Applied Numerical Mathematics.

• Rosalía, T.; Ferrás, L. L.; Castelo, A.; Morgado, M. Luísa; Rebelo, Magda; et al (2024) A generalisation of the integral Maxwell model: the gK-BKZ model-frame invariance and analytical solutions Meccanica: 59, 363–384.

• H.B. de Oliveira ; N. D. Lopes (2024) Continuous/discontinuous finite element approximation of a 2d Navier-Stokes problem arising in fluid confinement Int. J. Numer. Anal. Mod.: 21, 315-352.

• Ferrás,L.L.; Morgado, M. Luísa; Rebelo, Magda (2023) A generalised distributed-order Maxwell model Math Meth Appl Sci., 1-20.

• Talaei, Y.; Lima, Pedro M. (2023) An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions Computational and Applied Mathematics: 42, 193.

• Ribau, A. M.; Ferrás, L. L.; Morgado, M. Luísa; et al (2023) Analytical study of the annular flow of a generalised Phan-Thien--Tanner fluid Acta Mech, 1-11.

• Soares, Filipa; Ricardo Enguiça (2023) Automatic Completion of Data Gaps Applied to a System of Water Pumps 

• Teodoro, Filomena; Faria, João (2023) Navigators’ KAP About Zika infection Biometrics and Biostatistics international Journal, 34-38.

• Lima, Pedro M.; Kherkouche, K.; Bellour, A. (2023) Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method International Journal of Computer Mathematics: 100, 2063-2076.

• Ferrás,L.L.; Rebelo, Magda; Morgado, M. Luísa (2023) The role of the weight function in the Generalised Distributed-Order Maxwell Model: the case of a distributed-springpot and a dashpot Applied Mathematical Modelling, 844-860.

• Bohner, M.; Hristova, S.; Malinowska, A. B.; Morgado, M. Luísa; Almeida, R. (2022)  A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol Comm. Nonl. Sci. Num. Simul.: 115, 106756.

• Rouibah; Bellour, A.; Lima, Pedro M.; Rouibah; Bellour, A. (2022) Iterative continuous collocation method for for solving nonlinear Volterra Integral Equations Kragujevac Journal of Mathematics: 46, 635-648.

• Caetano, Constantino P.; Morgado, M. Luísa; et al (2022) Measuring the impact of COVID-19 vaccination and immunity waning: a modelling study for Portugal Vaccine, 7115-7121.

• Alves, Carlos J. S.; Martins, Nuno F. M.; Silvestre, Ana Leonor (2022) Numerical methods with particular solutions for nonhomogeneous Stokes and Brinkman systems Advances in Computational Mathematics: 48(4), 44.

• Sequeira, T.; Lima, Pedro M. (2022) Numerical Simulations of One- and Two-dimensional Stochastic Neural Field Equations with Delay Journal of Computational Neuroscience: 50, 299-311.

• Lima, Pedro M.; Erlhagen W.; Kulikova, Maria; Kulikov, Gennady Yu (2022) Numerical solution of the stochastic neural field equation with applications to working memory Physica A: Statistical Mechanics and its Applications: 596, 127166.

• Ricardo Almeida; Morgado, M. Luísa (2022) Optimality conditions involving the Mittag-Leffler tempered fractional derivative Discrete & Continuous Dynamical Systems - S: 15 (3), 519-534.

• Rézio, Sofia; Andrade, Marina A. P.; Teodoro, Filomena (2022) Problem-Based Learning and Applied Mathematics  Mathematics: 10(16).

• Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2022) Sequential method for fast neural population activity reconstruction in the cortex from incomplete noisy measurements Computers in Biology and Medicine: 141: 105103.

• Fracas, Paolo; Zondervan, Edwin; Franke, Meik; Camarda, Kyle; Valtchev, Stanimir; Valtchev, Svilen S.  (2022) Techno-Economic Optimization Study of Interconnected Heat and Power Multi-Microgrids with a Novel Nature-Inspired Evolutionary Method Electronics: 11(19), 3147.

• Silvestre, Ana Leonor (2022) The fundamental solution of the steady 2D generalized Oseen equations Appl. Math. Letters: 124, 107613.

• Beatriz Machado; L. Antunes; Caetano, Constantino P.; João Paulo Freitas Pereira; Baltazar Nunes; Paula Patrício; Morgado, M. Luísa (2022) The impact of vaccination on the evolution of COVID-19 in Portugal Mathematical Biosciences and Engineering: 19 (1), 936-952.

• Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2021)  Domain decomposition methods with fundamental solutions for Helmholtz problems with discontinuous source terms  Computers and Mathematics with Applications: 88, 16-32.

• Ângela Ribau; L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; Manuel Alves; Fernando Pinho; A. M. Afonso (2021) A study on mixed electro-osmotic/pressure-driven microchannel flows of a generalised Phan-Thien-Tanner fluid J Eng Math 127, 7: 127, 7.

• N. D. Lopes; H.B. de Oliveira  (2021) Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem Computers and Mathematics with Application: 97, 122-152.

• Alves, Carlos J. S.; Serrão, Rodrigo G.; Silvestre, Ana Leonor (2021) Fundamental solutions for the Stokes equations: Numerical applications for 2D and 3D flows Appl. Numer. Math.: 170, 55-73.

• L. L. Ferrás; Morgado, M. Luísa; Magda rebelo (2021) High order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations Math.Comput.Sci.: 15, 535-551.

• Khercouche, K.; Lima, Pedro M.; Bellour, A. (2021) Iterative collocation method for solving a class of nonlinear weakly singular Volterra integral equations Dolomites Research Notes on Approximation: 14, 33-41.

• Caetano, Constantino P.; Morgado, M. Luísa; Paula Patrício; João Paulo Freitas Pereira; Baltazar Nunes (2021) Mathematical modelling of the impact of non-pharmacological strategies to control the COVID-19 epidemic in Portugal Mathematics: 9 (10), 1084.

• Nemati, S.; Lima, Pedro M.; Torres, D. (2021) Numerical solution of a class of third-kind Volterra Integral Equations using Jacobi wavelets Numerical Algorithms: 86, 675-691.

• Kulikov, Gennady Yu; Lima, Pedro M.; Kulikova, Maria (2021) Numerical solution of the neural field equation in the presence of random disturbance. Journal of Computational and Applied Mathematics: 387: 112563.

• S. Bazm; Lima, Pedro M.; S. Nemati (2021) Numerical solution of two-dimensional Volterra-Urysohn integral equations using Euler and trapezoidal discretization Journal of Computational Mathematics: 398, 113628.

• Nemati, S; Lima, Pedro M.; Torres, D. (2021) Numerical solution of variable-order fractional differential equations using Bernoulli polynomials Fractal and Fractional: 5, 219.

• Morgado, M. Luísa; Magda rebelo; L. L. Ferrás (2021) Stable and convergent finite difference schemes on nonuniform time meshes for distributed-order diffusion equations Mathematics: 9, 1975.

• Elshehabey, Hillal M.; Silvestre, Ana Leonor (2021) Weak solutions to stationary shear thinning fluids with nonhomogeneous Dirichlet boundary conditions Nonlinear Anal. Theory Methods Appl.: 208, 11227.

• Sabermahani, S.; Ordokhani, Y.; Lima, Pedro M. (2020) A novel Lagrange operational matrix and tau-collocation method for solving variable-order fractional differential equations Iranian Journal of Science and Technology, Transactions A: 44, 127-135.

• Ângela Ribau; L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; A. M. Afonso (2020) Analytical and numerical studies for slip flows of a generalised Phan-Thien-Tanner fluid Z Angew Math Mech., e201900183.

• Nemati, S.; Lima, Pedro M.; Sedaghat,S (2020) Legendre wavelet collocation method combined with the Gauss–Jacobi quadrature for solving fractional delay-type integro-differential equations Applied Numerical Mathematics: 149, 99-112.

• Morgado, M. Luísa; Luís F. Morgado (2020) Modeling transient currents in time-of- flight experiments with tempered time-fractional diffusion equations Progr. Fract. Differ. Appl.: 6 (1), 43-53.

• Silvestre, Ana Leonor (2020) On the Oseen fundamental solution and asymptotic profile of exterior flows J. Math. Fluid Mech.: 22, 1-19.

• Hishida, Toshiaki; Silvestre, Ana Leonor; Takahashi, Takéo (2020) Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid ESAIM Control Optim. Calc. Var.: 26, 92.

• Alves, Carlos J. S.; Antunes, Pedro R. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2020) Solving boundary value problems on manifolds with a plane waves method Applied Mathematics Letters: 107, 106426.

• Diogo, Teresa; Pedas, Arvet; Vainikko, Gennadi (2020) Third kind integral equations in L^p spaces J. Integral Equations Applications: 32, 417-427.

• Faria, Ricardo; Oliveira, Sérgio; Silvestre, Ana Leonor (2019) A fluid-structure interaction model for dam-water systems: analytical study and application to seismic behavior Advances in Mathematical Physics: Volume 2019, Article ID 8083906, 14 pages.

• L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; Gareth Mckinley; A. M. Afonso (2019) A generalised Phan-Thien-Tanner model Journal of Non-Newtonian Fluid Mechanics: 269, 88-99.

• Nemati, S.; Lima, Pedro M.; Torres, Delfim (2019) A numerical approach for solving fractional optimal control problems using modified hat functios Communications in Nonlinear Science and Numerical Simulations: 78, 104849.

• Rahimkani,P.; Ordokhani, Y; Lima, Pedro M. (2019) An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets Applied Numerical Mathematics: 145, 1-27.

• Almeida, Ricardo; Morgado, M. Luísa (2019) Analysis and numerical approximation of tempered fractional calculus of variations problems Journal of Computational and Applied Mathematics: 361, 1-12.

• Ângela Ribau; L. L. Ferrás; Morgado, M. Luísa; Magda rebelo; A. M. Afonso (2019) Semi-analytical solutions for the Poiseuille-Couette flow of a generalised Phan-Thien-Tanner fluid Fluids: 4 (3) 129, 1-11.

• Valtchev, Svilen S.  (2018) A meshfree method with plane waves for elastic wave propagation problems Engineering Analysis with Boundary Elements: 92, 64-72.