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Tag: fractional

  • Angular Graph Fractional Fourier Transform: Theory and Application

    Angular Graph Fractional Fourier Transform: Theory and Application arXiv:2511.16111v1 Announce Type: new Abstract: Graph spectral representations are fundamental in graph signal processing, offering a rigorous framework for analyzing and processing graph-structured data. The graph fractional Fourier transform (GFRFT) extends the classical graph Fourier transform (GFT) with a fractional-order parameter, enabling flexible spectral analysis while preserving…

  • Identifying Memory Effects in Epidemics via a Fractional SEIRD Model and Physics-Informed Neural Networks

    Identifying Memory Effects in Epidemics via a Fractional SEIRD Model and Physics-Informed Neural Networks arXiv:2509.22760v1 Announce Type: new Abstract: We develop a physics-informed neural network (PINN) framework for parameter estimation in fractional-order SEIRD epidemic models. By embedding the Caputo fractional derivative into the network residuals via the L1 discretization scheme, our method simultaneously reconstructs epidemic…

  • Extension of Symmetrized Neural Network Operators with Fractional and Mixed Activation Functions

    Extension of Symmetrized Neural Network Operators with Fractional and Mixed Activation Functions arXiv:2501.10496v1 Announce Type: new Abstract: We propose a novel extension to symmetrized neural network operators by incorporating fractional and mixed activation functions. This study addresses the limitations of existing models in approximating higher-order smooth functions, particularly in complex and high-dimensional spaces. Our framework…