Potentials of arbitrary forces with fractional derivatives

International Journal of Modern Physics A

Volumn 19, Issue 17-18, 2004, Pages 3083-3092

  Rabei, Eqab M ^a   Alhalholy, Tareq S ^a   Rousan, Akram ^b  

^a MUTAH UNIVERSITY   (Jordan)

^b JORDAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Jordan)

Author keywords

Fractional calculus; Lagrange formulation; Nonconservative systems

Indexed keywords

ARTICLE; FORCE; FRICTION; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL;

EID: 13844255812     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X04019408     Document Type: Article

References (12)

1. H. Goldstein, Classical Mechanics, 2nd edn. (Addison-Wesley, 1980).
2. E. Celeghini, M. Rasetti, M. Tarlini and G. Vitiello, Mod. Phys. Lett. B3, 1213 (1989).
3. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
4. L. H. Yu and C. P. Sun, Phys. Rev. A49, 592 (1994).
5. F. Riewe, Phys. Rev. E53, 1890 (1996).
6. F. Riewe, Phys. Rev. E55, 3581 (1997).
7. A. A. Rousan, E. Malkawi, E. M. Rabei and H. Widyan, Fract. Calc. Appl. Anal. 5, 155 (2002).
8. N. Engheta, IEEE Trans. Antennas Propag. 44, 554 (1996).
9. A. Carpintri and F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics (Springer-Verlag, Wien and New York, 1997).
10. G. Arfken, Mathematical Methods for Physical Science, 3rd edn. (Academic Press, 1985).
11. M. Boas, Mathematical Methods in the Physical Sciences, 2nd edn. (John Wiley & Sons, 1983).
12. G. Fowles and G. Cassiday, Analytical Mechanics, 5th edn. (Saunders College Publishing, 1993).