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Zbl 1005.26002
Babakhani, A.; Daftardar-Gejji, Varsha
On calculus of local fractional derivatives. (English)
[J] J. Math. Anal. Appl. 270, No.1, 66-79 (2002). ISSN 0022-247X

{\it K. M. Kolwankar} and {\it A. D. Gangal} [``Fractional differentiability of nowhere differentiable functions and dimensions'', Chaos 6, No.~4, 505-513 (1996; Zbl 1055.26504)] introduced a certain ``localization'' $d^\alpha f(x)$ of the Riemann-Liouville fractional derivative to study the local behaviour of nowhere differentiable functions (see reviewer's remark on this notion in the review in Zbl to the paper by {\it F. Ben Adda} and {\it J. Cresson} [``About non-differentiable functions'', J. Math Anal. Appl. 263, No. 2, 721-737 (2001; Zbl 0995.26006)]). The authors study some properties of this ``localization'', such as the Leibniz rule for the product, the chain rule and others.
[Stefan G.Samko (Faro)]

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional derivatives; fractional integrals

Citations: Zbl 1055.26504; Zbl 0995.26006

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