期刊
OPEN MATHEMATICS
卷 14, 期 -, 页码 1122-1124出版社
DE GRUYTER POLAND SP ZOO
DOI: 10.1515/math-2016-0104
关键词
Local fractional derivative; Conformable derivative
类别
资金
- Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications
- Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [UID/MAT/04106/2013]
- Warsaw School of Economics [KAE/S16/03/16]
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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