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Neural Networks-Based Analytical Solver for Exact Solutions of Fractional Partial Differential Equations

This paper introduces an innovative artificial neural networks-based analytical solver for fractional partial differential equations (fPDEs), combining neural networks (NNs) with symbolic computation. Leveraging the powerful function approximation ability of NNs and the exactness of symbolic methods...

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Bibliografische Detailangaben
Hauptverfasser: Shanhao Yuan, Yanqin Liu, Limei Yan, Runfa Zhang, Shunjun Wu
Format: Artigo
Sprache:Inglês
Veröffentlicht: MDPI AG 2025-08-01
Schriftenreihe:Fractal and Fractional
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Online-Zugang:https://www.mdpi.com/2504-3110/9/8/541
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