N. Vieira

450 total citations
49 papers, 279 citations indexed

About

N. Vieira is a scholar working on Applied Mathematics, Modeling and Simulation and Mathematical Physics. According to data from OpenAlex, N. Vieira has authored 49 papers receiving a total of 279 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Applied Mathematics, 23 papers in Modeling and Simulation and 15 papers in Mathematical Physics. Recurrent topics in N. Vieira's work include Fractional Differential Equations Solutions (23 papers), Algebraic and Geometric Analysis (17 papers) and Mathematical Analysis and Transform Methods (13 papers). N. Vieira is often cited by papers focused on Fractional Differential Equations Solutions (23 papers), Algebraic and Geometric Analysis (17 papers) and Mathematical Analysis and Transform Methods (13 papers). N. Vieira collaborates with scholars based in Portugal, Germany and Finland. N. Vieira's co-authors include M. Ferreira, M. M. Rodrigues, Paula Cerejeiras, Neville J. Ford, Semyon Yakubovich, F. Sommen, Cristina Ponte, Sirkka-Liisa Eriksson, Uwe Kähler and Yury Luchko and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, The Journal of Geology and Chaos Solitons & Fractals.

In The Last Decade

N. Vieira

43 papers receiving 274 citations

Peers

N. Vieira

SNP

M. M. Rodrigues Portugal

Sean McKee United Kingdom

С. М. Ситник Russia

Fuat Usta Türkiye

M.L. Rezola Spain

M. Hadizadeh Iran

Anvar Hasanov Uzbekistan

Edgardo Alvarez Colombia

Rakesh K. Parmar India

M. M. Rodrigues Portugal

N. Vieira

150 ×0.8

173 ×1.0

121 ×1.4

48 ×0.7

SNP

34 ×0.7

Citations per year, relative to N. Vieira N. Vieira (= 1×) peers M. M. Rodrigues

Countries citing papers authored by N. Vieira

Since Specialization

Citations

This map shows the geographic impact of N. Vieira's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by N. Vieira with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites N. Vieira more than expected).

Fields of papers citing papers by N. Vieira

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by N. Vieira. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by N. Vieira. The network helps show where N. Vieira may publish in the future.

Co-authorship network of co-authors of N. Vieira

This figure shows the co-authorship network connecting the top 25 collaborators of N. Vieira. A scholar is included among the top collaborators of N. Vieira based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with N. Vieira. N. Vieira is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Ferreira, M., M. M. Rodrigues, & N. Vieira. (2025). Factorization à la Dirac applied to the time-fractional telegraph equation. Communications in Nonlinear Science and Numerical Simulation. 152. 109420–109420.

Ferreira, M., N. Vieira, & M. M. Rodrigues. (2024). Dirac’s method applied to the time-fractional diffusion-wave equation. AIP conference proceedings. 3094. 260002–260002. 1 indexed citations

Vieira, N.. (2023). Bicomplex Neural Networks with Hypergeometric Activation Functions. Advances in Applied Clifford Algebras. 33(2). 3 indexed citations

Vieira, N.. (2023). Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions. Complex Analysis and Operator Theory. 17(6). 2 indexed citations

Vieira, N., M. Ferreira, & M. M. Rodrigues. (2022). Time-fractional telegraph equation with ψ-Hilfer derivatives. Chaos Solitons & Fractals. 162. 112276–112276. 8 indexed citations

Ferreira, M., M. M. Rodrigues, & N. Vieira. (2021). Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation. Complex Analysis and Operator Theory. 15(5). 4 indexed citations

Ferreira, M., et al.. (2019). Application of the hypercomplex fractional integro-differential operators to the fractional Stokes equation. AIP conference proceedings. 1 indexed citations

Ferreira, M., et al.. (2019). Fundamental Solution for Natural Powers of the Fractional Laplace and Dirac Operators in the Riemann–Liouville Sense. Advances in Applied Clifford Algebras. 30(1). 1 indexed citations

Ferreira, M., M. M. Rodrigues, & N. Vieira. (2019). A Time-Fractional Borel–Pompeiu Formula and a Related Hypercomplex Operator Calculus. Complex Analysis and Operator Theory. 13(6). 2495–2526. 2 indexed citations

10.

Rodrigues, M. M., Andreia Rosa, N. Vieira, & Joaquim Murta. (2019). Modeling ophthalmic surfaces using Zernike, Bessel and Chebyshev type functions. Journal of Physics Conference Series. 1194. 12093–12093. 1 indexed citations

11.

Ferreira, M., M. M. Rodrigues, & N. Vieira. (2017). Fundamental solution of the time‐fractional telegraph Dirac operator. Mathematical Methods in the Applied Sciences. 40(18). 7033–7050. 7 indexed citations

12.

Eriksson, Sirkka-Liisa, et al.. (2017). Hypermonogenic Functions of Two Vector Variables. Complex Analysis and Operator Theory. 12(2). 555–570. 3 indexed citations

13.

Ferreira, M. & N. Vieira. (2016). Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators. Journal of Mathematical Analysis and Applications. 447(1). 329–353. 30 indexed citations

14.

Eriksson, Sirkka-Liisa, et al.. (2015). Two-Sided Hypergenic Functions. Advances in Applied Clifford Algebras. 27(1). 111–123.

15.

Rodrigues, M. M. & N. Vieira. (2013). On Fractional Whittaker Equation and Operational Calculus. Journal of mathematical sciences. 20(1).

16.

Ford, Neville J., M. M. Rodrigues, & N. Vieira. (2013). A numerical method for the fractional Schrödinger type equation of spatial dimension two. Fractional Calculus and Applied Analysis. 16(2). 454–468. 30 indexed citations

17.

Vieira, N., et al.. (2010). The Schrödinger equation on cylinders and the n-torus. Journal of Evolution Equations. 11(1). 215–237. 6 indexed citations

18.

Cerejeiras, Paula & N. Vieira. (2010). Fundamental solutions of the instationary Schrödinger difference operator. The Journal of Difference Equations and Applications. 16(11). 1349–1365.

19.

Ponte, Cristina & N. Vieira. (2008). Crianças e Internet, riscos e oportunidades. Um desafio para a agenda de pesquisa nacional. 2732–2741. 2 indexed citations

20.

Cerejeiras, Paula, et al.. (2007). Numerical Clifford analysis for nonlinear Schrödinger problem. Numerical Methods for Partial Differential Equations. 24(4). 1181–1202. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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