期刊
CZECHOSLOVAK JOURNAL OF PHYSICS
卷 55, 期 11, 页码 1447-1453出版社
INST PHYSICS ACAD SCI CZECH REPUBLIC
DOI: 10.1007/s10582-006-0024-7
关键词
fractional derivative; fractional mechanics; Euler-Lagrange equations
The extension of coordinate-velocity space with noncommutative algebra structure is proposed. For action of fractional mechanics considered on such a space the respective Euler-Lagrange equations are derived via minimum action principle. It appears that equations of motion in the noncommutative framework do not mix left and right derivatives thus being simple to solve at least in the linear case. As an example, two models of oscillator with fractional derivatives are studied.
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