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Nelson Felipe Loureiro Vieira
Nelson Felipe Loureiro Vieira
CIDMA - Department of Mathematics, University of Aveiro, Portugal
Verified email at ua.pt
Title
Cited by
Cited by
Year
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
382017
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
372013
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
332017
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
302016
Fractional Clifford analysis
U Kähler, N Vieira
Hypercomplex Analysis: new perspectives and applications, 191-201, 2014
302014
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
272017
Numerical Clifford analysis for nonlinear Schrödinger problem
P Cerejeiras, N Faustino, N Vieira
Numerical Methods for Partial Differential Equations: An International …, 2008
252008
Regularization of the non‐stationary Schrödinger operator
P Cerejeiras, N Vieira
Mathematical methods in the applied sciences 32 (5), 535-555, 2009
212009
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
192021
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
182017
Factorization of the non-stationary Schrödinger operator
P Cerejeiras, N Vieira
Advances in Applied Clifford Algebras 17 (3), 331-341, 2007
142007
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
112019
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
112018
Operational calculus for Bessel’s fractional equation
MM Rodrigues, N Vieira, S Yakubovich
Advances in Harmonic Analysis and Operator Theory: The Stefan Samko …, 2013
112013
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
102014
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
92017
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
82013
The Schrödinger equation on cylinders and the n-torus
RS Kraußhar, N Vieira
Journal of Evolution Equations 11, 215-237, 2011
82011
Cauchy–Kovalevskaya extension theorem in fractional Clifford analysis
N Vieira
Complex Analysis and Operator Theory 9 (5), 1089-1109, 2015
72015
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
72007
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