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Fractional Versions of the Fundamental Theorem of Calculus
The concept of fractional integral in the Riemann-Liouville, Liouville, Weyl and Riesz sense is presented. Some properties involving the particular Riemann-Liouville integral are mentioned. By meansExpand
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Slowing-down of neutrons: a fractional model
The fractional version for the diffusion of neutrons in a material medium is studied. The concept of fractional derivative is presented, in the Caputo and Riesz senses. Using this concept, we discussExpand
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Linear fractional differential equations and eigenfunctions of fractional differential operators
Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions canExpand
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Integral representations of Mittag-Leffler function on the positive real axis
The Mittag-Leffler functions appear in many problems associated with fractional calculus. In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N.Expand
Implementação eficiente dos métodos de pontos interiores especializados para o problema de regressão pela norma Lp
Os metodos de pontos interiores primais-duais para o problema de regressao pela norma-p desenvolvidos terao sua estrutura matricial resultante explorada objetivando uma implementacao eficiente. OExpand
Linearização fracionária de sistemas dinâmicos
Quando o tempo e considerado continuo, um sistema dinamico nao linear e composto por equacoes diferenciais nao lineares, cuja solucao analitica e de dificil ou impossivel obtencao. Se o sistemaExpand
Equação de Richards Fracionária
Os processos dinamicos da agua no solo fazem parte de componentes terrestres do ciclo hidrologico e sao muito uteis em varios ramos da ciencia e da engenharia, em assuntos relacionados com aExpand
Discrete Fourier transform and fractional equations
In the fractional calculus [4] we have several ways to introduce the concept of fractional derivative [2]. Contharteze et al. [3] discuss a fractional version of the fundamental theorem of calculusExpand
Time-space fractional for the Stefan model
In this paper, we solve a particular time-space fractional Stefan problem including fractional order derivatives in time and space variables in the Fourier heat conduction equation. For this, weExpand
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