Reflection symmetry properties of generalized fractional derivatives

• Autorzy: Klimek M. , Lupa M.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study the properties of generalized fractional derivatives (GFDs) with respect to the reflection mapping in finite intervals. We introduce symmetric and antisymmetric derivatives in a given interval and a split of arbitrary function into [J]- projections - parts with well-defined reflection symmetry properties. The main result are representation formulas for the symmetric and anti-symmetric GFDs of order α ∈ (0,1) which allow us to reduce the operators defined in the interval [a,b] to the ones given in arbitrarily short subintervals.

Słowa kluczowe

EN

fractional derivatives; fractional calculus

PL

pochodne ułamkowe; rachunek ułamkowy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 3
• Strony: 71--80
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Klimek M.

autor

Lupa M.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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