Fundamental solutions of the time fractional diffusion-wave and parabolic Dirac operators M Ferreira, N Vieira Journal of Mathematical Analysis and Applications 447 (1), 329-353, 2017 | 38 | 2017 |
A numerical method for the fractional Schrödinger type equation of spatial dimension two NJ Ford, M Manuela Rodrigues, N Vieira Fractional Calculus and Applied Analysis 16, 454-468, 2013 | 38 | 2013 |
Fundamental solution of the multi-dimensional time fractional telegraph equation M Ferreira, MM Rodrigues, N Vieira Fractional Calculus and Applied Analysis 20 (4), 868-894, 2017 | 33 | 2017 |
Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators: the Riemann-Liouville case M Ferreira, N Vieira Complex Analysis and Operator Theory 10, 1081-1100, 2016 | 31 | 2016 |
Fractional Clifford analysis U Kähler, N Vieira Hypercomplex Analysis: new perspectives and applications, 191-201, 2014 | 30 | 2014 |
Fischer decomposition and Cauchy–Kovalevskaya extension in fractional Clifford analysis: the Riemann–Liouville case N Vieira Proceedings of the Edinburgh Mathematical Society 60 (1), 251-272, 2017 | 28 | 2017 |
Numerical Clifford analysis for nonlinear Schrödinger problem P Cerejeiras, N Faustino, N Vieira Numerical Methods for Partial Differential Equations: An International …, 2008 | 25 | 2008 |
Regularization of the non‐stationary Schrödinger operator P Cerejeiras, N Vieira Mathematical methods in the applied sciences 32 (5), 535-555, 2009 | 21 | 2009 |
Time-fractional telegraph equation of distributed order in higher dimensions N Vieira, MM Rodrigues, M Ferreira Communications in Nonlinear Science and Numerical Simulation 102, 105925, 2021 | 19 | 2021 |
Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators using Caputo derivatives M Ferreira, N Vieira Complex variables and elliptic equations 62 (9), 1237-1253, 2017 | 18 | 2017 |
Factorization of the non-stationary Schrödinger operator P Cerejeiras, N Vieira Advances in Applied Clifford Algebras 17 (3), 331-341, 2007 | 14 | 2007 |
A higher dimensional fractional Borel‐Pompeiu formula and a related hypercomplex fractional operator calculus M Ferreira, RS Kraußhar, MM Rodrigues, N Vieira Mathematical Methods in the Applied Sciences 42 (10), 3633-3653, 2019 | 11 | 2019 |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators M Ferreira, MM Rodrigues, N Vieira Advances in Applied Clifford Algebras 28, 1-14, 2018 | 11 | 2018 |
Operational calculus for Bessel’s fractional equation MM Rodrigues, N Vieira, S Yakubovich Advances in Harmonic Analysis and Operator Theory: The Stefan Samko …, 2013 | 11 | 2013 |
Fractional Clifford analysis, Hypercomplex Analysis: New perspectives and applications, Trends in Mathematics, S. Bernstein, U. Kähler, I. Sabadini and F. Sommen U Kähler, N Vieira Birkhäuser, Basel, 2014 | 10 | 2014 |
Fundamental solution of the time‐fractional telegraph Dirac operator M Ferreira, MM Rodrigues, N Vieira Mathematical Methods in the Applied Sciences 40 (18), 7033-7050, 2017 | 9 | 2017 |
A convolution operator related to the generalized Mehler–Fock and Kontorovich–Lebedev transforms MM Rodrigues, N Vieira, S Yakubovich Results in Mathematics 63 (1), 511-528, 2013 | 8 | 2013 |
The Schrödinger equation on cylinders and the n-torus RS Kraußhar, N Vieira Journal of Evolution Equations 11, 215-237, 2011 | 8 | 2011 |
Cauchy–Kovalevskaya extension theorem in fractional Clifford analysis N Vieira Complex Analysis and Operator Theory 9 (5), 1089-1109, 2015 | 7 | 2015 |
Fischer decomposition and special solutions for the parabolic Dirac operator P Cerejeiras, F Sommen, N Vieira Mathematical methods in the applied sciences 30 (9), 1057-1069, 2007 | 7 | 2007 |