Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: fractional mechanics

Sortuj według:

Ogranicz wyniki do:

On reflection symmetry in fractional mechanics

Klimek M., Lupa M.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2011

Vol. 10, nr 1

109-121

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.