230 citations
- University of CoimbraPT20 papers
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- Centro de MatemáticaPT7 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Centro para o Desenvolvimento Rápido e Sustentado de Produto5 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR4 papers
- Instituto de TelecomunicaçõesPT4 papers
- Lyon 1 UniversitéFR4 papers
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math.CA2015★ 211 cited
Caputo derivatives of fractional variable order: numerical approximations
Dina Tavares, Ricardo Almeida, Delfim F. M. Torres
We present a new numerical tool to solve partial differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are consid…
math.CA2013
Matrix Orthogonal Polynomial in the theory of Full Kostant-Toda Systems
Amílcar Branquinho, Ana Foulquié Moreno, Ana Mendes
In this work we characterize a full Kostant-Toda system in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure. In order to study the soluti…
math.CA2009
Vector interpretation of the matrix orthogonality on the real line
A. Branquinho, F. Marcellán, A. Mendes
In this paper we study sequences of vector orthogonal polynomials. The vector orthogonality presented here provides a reinterpretation of what is known in the literature as matrix…