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Non-local fractional derivatives. Discrete and continuous [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2017
We prove maximum and comparison principles for the discrete fractional derivatives in the integers. Regularity results when the space is a mesh of length h, and approximation theorems to the continuous fractional derivatives are shown. When the functions
Marta de León Contreras   +2 more
exaly   +2 more sources

On calculus of local fractional derivatives [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2002
Local fractional derivative (LFD) operators have been introduced in the recent literature (Chaos 6 (1996) 505–513). Being local in nature these derivatives have proven useful in studying fractional differentiability properties of highly irregular and ...
Varsha Daftardar-Gejji
exaly   +2 more sources

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Annals of Applied Probability, 2021
Ivan Nourdin, Giovanni Peccati
exaly  

Local Fractional Derivatives of Differentiable Functions are Integer-order Derivatives or Zero

International Journal of Applied and Computational Mathematics, 2015
Vasily E. Tarasov
exaly  

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