On reflection symmetry in fractional mechanics

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

Abstrakty

EN

We study the properties of fractional differentiation with respect to reflection mapping in a finite interval. The symmetric and anti-symmetric fractional derivatives in a full interval are expressed as fractional differential operators in left or right subintervals obtained by subsequent partitions. These representation properties and the reflection symmetry of the action and variation are applied to derive Euler-Lagrange equations of fractional free motion. Then the localization phenomenon for these equations is discussed.

Słowa kluczowe

EN

free motion; Euler-Lagrange equations; fractional calculus; fractional mechanics

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 1
• Strony: 109-121
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Klimek, M.

autor

Lupa, M.

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

Bibliografia

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