Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator

•Caputo fractional derivative of analytic functions (not necessarily of exponential order).•Commutative and semigroup properties of Caputo derivative, under less restrictive requirements.•Properties of Caputo-type convolution operator defined by Bernstein functions. While for the integer-order deriv...

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Veröffentlicht in:	Communications in nonlinear science & numerical simulation 2020-10, Vol.89, p.105338, Article 105338
Hauptverfasser:	Beghin, Luisa, Caputo, Michele
Format:	Artikel
Sprache:	eng
Schlagworte:	Associativity Caputo fractional derivative Caputo-type convolution operator Commutative property Commutativity Convolution Derivatives Fractions Integer programming Mathematical analysis Mathematical models Nonlinear equations Operators (mathematics) Semigroup property
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