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A remark on local fractional calculus and ordinary derivatives

Ricardo AlmeidaMałgorzata GuzowskaTatiana Odzijewicz — 2016

Open Mathematics

In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.

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