POTENTIALS OF ARBITRARY FORCES WITH FRACTIONAL DERIVATIVES
2004 ◽
Vol 19
(17n18)
◽
pp. 3083-3092
◽
Keyword(s):
The Laplace transform of fractional integrals and fractional derivatives is used to develop a general formula for determining the potentials of arbitrary forces: conservative and nonconservative in order to introduce dissipative effects (such as friction) into Lagrangian and Hamiltonian mechanics. The results are found to be in exact agreement with Riewe's results of special cases. Illustrative examples are given.
2001 ◽
Vol 33
(1)
◽
pp. 223-241
◽
2000 ◽
Vol 23
(2)
◽
pp. 99-102
Keyword(s):
2002 ◽
Vol 123
(27)
◽
pp. 1-17
◽