Journal
CZECHOSLOVAK JOURNAL OF PHYSICS
Volume 52, Issue 11, Pages 1247-1253Publisher
INST PHYSICS ACAD SCI CZECH REPUBLIC
DOI: 10.1023/A:1021389004982
Keywords
fractional derivative; fractional integral; fractional mechanics; Euler-Lagrange equations; Hamilton equation; non-conservative systems
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The models described by fractional order derivatives of Riemann-Liouville type in sequential form are discussed in Lagrangean and Hamiltonian formalism. The Euler-Lagrange equations are derived using the minimum action principle. Then the methods of generalized mechanics are applied to obtain the Hamilton's equations. As an example free motion in fractional picture is studied. The respective fractional differential equations are explicitly solved and it is shown that the limit alpha --> 1(+) recovers classical model with linear trajectories and constant velocity.
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