A remark on local fractional calculus and ordinary derivatives

By Ricardo Almeida, M. Guzowska, Tatiana Odzijewicz. 2016

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Abstract 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.

Subfields: Applied Mathematics, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cf1cb7f8616284770a0d594df78e96438a4aaec2