期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 388, 期 -, 页码 195-208出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.03.008
关键词
Fractional calculus; Fractional derivatives; Fractional operators; Local operators; Operators with non-singular kernel
Given the increasing number of proposals and definitions of operators in the scope of fractional calculus, it is important to introduce a systematic classification. Nonetheless, many of the definitions that emerged in the literature can not be considered as fractional derivatives. We analyze a list of expressions to have a general overview of the concept of fractional (integrals) derivatives. Moreover, some formulae that do not involve the term fractional, are also included due to their particular interest in the area. (C) 2019 Elsevier Inc. All rights reserved.
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