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Fractional Differentiation in the Self‐Affine Case. V ‐ The Local Degree of Differentiability
Author(s) -
Zähle M.
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211850117
Subject(s) - mathematics , differentiable function , fractal , fractional calculus , affine transformation , degree (music) , pure mathematics , function (biology) , mathematical analysis , physics , evolutionary biology , acoustics , biology
Concepts of fractional differentiation are presented whose origins lie in fractal geometry. The aim of the paper is to show their close relationship to classical fractional calculus in the theory of function spaces.