Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Function Spaces and Distributions.- Pseudo-Differential Operators with Singular Symbols (DOSS).- Fractional Calculus and Fractional Order Operators.- Boundary Value Problems for Pseudo-Differential Equations with Singular Symbols.- Initial and Boundary Value Problems for Fractional Order Differential Equations.- Distributed and Variable Order Differential-Operator Equations.- Fractional Fokker-Planck-Kolmogorov Equations.- Random Walk Approximants of Mixed and Time-Changed Levy Processes.- Complex DOSS and Systems of Complex Differential Equations.- References.

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• Análise funcional e transforma
• Física Matemática
• Cálculo diferencial e equações
• Probabilidade e Estatística
• Estocástica
• Cibernética e teoria dos sistemas

Complex Fourier Transform;Fokker-Planck-Kolmogorov Equations;Fractional Differential Equations;Levy Processes;Pseudo-Differential Equations;partial differential equations