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Classical fractional derivatives include: Grünwald–Letnikov derivative Sonin–Letnikov derivative Liouville derivative Caputo derivative Hadamard derivative Marchaud...

derivative of integer order rather than the derivatives of fractional order as in the Riemann–Liouville derivative. The Caputo fractional derivative with...

}(t))^{-n+\beta +1}}}d_{F}^{\alpha }t} Fractal analogue of the right-sided Caputo fractional derivative of order β ∈ R {\displaystyle \beta \in \mathbb {R} } of f is...

denoted by D q f {\displaystyle \mathbb {D} ^{q}f} is the fractional derivative (if q > 0) or fractional integral (if q < 0). If q = 0, then the q-th differintegral...

system of linear fractional-order delay-differential equations. The fractional Chebyshev differentiation matrix in the sense of Caputo, t 0 D t N α {\displaystyle...

b=\infty } , the fractional derivatives are referred to as Weyl-type derivatives. There is a Caputo-type modification of the Katugampola derivative that is now...

positive fractional derivative modified Szabo's wave equation and the fractional Laplacian wave equation. See for a paper which compares fractional wave equations...

analysis. He is known for fractional derivatives introduced by the joint work with Mkhitar Djrbashian. Separately, M. Caputo considered the same modification...

4". The analysis of fractional differential equations: an application-oriented exposition using differential operators of Caputo type. Lecture Notes in...

PMID 18652903. S2CID 29732090. Dawson fingers, at Radiopedia Agosta F, Pagani E, Caputo D, Filippi M (2007). "Associations between cervical cord gray matter damage...