A new representation of the Caputo derivative for order 1<α<2 avoids shifted first-derivative evaluations in PINNs, giving computational savings with comparable accuracy in the tested smooth cases.
Mainardi, Fractional calculus and waves in linear viscoelasticity, second edition Edition, World Scientific, New Jersey
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Transformed Diffusion-Wave fPINNs: Enhancing Computing Efficiency for PINNs Solving Time-Fractional Diffusion-Wave Equations
A new representation of the Caputo derivative for order 1<α<2 avoids shifted first-derivative evaluations in PINNs, giving computational savings with comparable accuracy in the tested smooth cases.