Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations

1. Fractional calculus and anomalous transport; 2. Spectral expansions and related approximations; 3. Global schemes for fractional ODEs (FODEs); 4. Global schemes for fractional PDEs (FPDEs); 5. Integral fractional Laplacian in unbounded domains; 6. Fractional Laplacian in bounded domains; 7. Time-integration of fractional models; 8. Applications of anomalous transport and fractional modeling; References; Index.

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• Cálculo diferencial e equações
• Análise numérica

fractional differential equations; fractional calculus, fractional models, spectral methods