Toward lattice fractional vector calculus (Q2921140)

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scientific article; zbMATH DE number 6349839
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English
Toward lattice fractional vector calculus
scientific article; zbMATH DE number 6349839

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    Toward lattice fractional vector calculus (English)
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    30 September 2014
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    fractional calculus
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    long-range interactions
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    vector calculus
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    lattice model
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    Maxwell equations
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    gradient elasticity
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    In this rather expansive work, the author constructs lattice analogues of fractional derivatives. In particular, some fractional partial derivatives and differences are studied. The Fourier transform technique is utilized as part of this study. The paper concludes with a thorough discussion of possible future avenues of research in this area, in light of the existing literature, which is extensively documented in both the conclusion and the introduction of this paper.
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