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ABSTRACT: In this paper, we are concerned with the following nonlocal Schrödinger equations − ℒ K u+V( x )u=f( x,u ), x∈ ℝ N , where − ℒ K is an integro-differential operator of fractional Laplacian ...

After motivating the need of a multiscale version of fractional calculus in quantum gravity, we review current proposals and the program to be carried out in order to reach a viable definition of ...

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Abstract: Fourier neural operator (FNO) is a recently proposed data-driven scheme to approximate the implicit operators characterized by partial differential equations (PDEs) between functional spaces ...

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Abstract: Symbolic regression is a machine learning technique that can learn the equations governing data and thus has the potential to transform scientific discovery. However, symbolic regression is ...

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We usually think of Newton and Leibniz as the inventors of calculus, but neither of them—for all their great brilliance—could create that extraordinary mathematical description of the world around us ...