On chain rule for fractional derivatives
DOI: 10.1016/J.CNSNS.2015.06.007
关键词: Fractional calculus 、 Pure mathematics 、 Chain rule 、 Differential operator 、 First order 、 Mathematics 、 Parametric derivative 、 Logarithmic derivative 、 Mathematical analysis 、 Order (group theory) 、 Total derivative
摘要: For some types of fractional derivatives, the chain rule is suggested in form D α f (g(x)) = (D1 (g))g=g(x) Dα g(x). We prove that performing this for derivative order means differential operator first (α 1). By proving three statements, we demonstrate modified Riemann–Liouville derivatives cannot be considered as non-integer if holds.
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