The tautochrone under arbitrary potentials using fractional derivatives

American Journal of Physics

Volumn 67, Issue 8, 1999, Pages 718-722

  Flores, Eduardo ^a   Osler, Thomas J ^a  

^a ROWAN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033437346     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19359     Document Type: Article

References (6)

1. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, New York, 1993).
2. K. B. Oldham and J. Spanier, The Fractional Calculus (Academic, New York, 1974).
3. N. Wheeler, "Construction and Physical Application of the Fractional Calculus" (notes for a Reed College Physics Seminar).
4. J. L. Lavoie, T. J. Osler, and R. Trembley, "Fractional derivatives and special functions," SIAM (Soc. Ind. Appl. Math.) Rev. 18, 240-268 (1976).
5. J. Collins, "Renormalization" (Cambridge Monographs on Mathematical Physics, London, 1984), pp. 62-64.
6. S. G. Kamath, "Relativistic tautochrone," J. Math. Phys. 3, 934-940 (1992).