Fractional mechanics on the extended phase space

Baleanu D., Muslih S. I., Khalili Golmankhaneh A., Golmankhaneh A. K., Rabei E. M.

2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009, San Diego, CA, Amerika Birleşik Devletleri, 30 Ağustos - 02 Eylül 2009, cilt.4, ss.1025-1030, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 4
  • Doi Numarası: 10.1115/detc2009-86586
  • Basıldığı Şehir: San Diego, CA
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.1025-1030
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Fractional calculus has gained a lot of importance and potential applications in several areas of science and engineering. The fractional dynamics and the fractional variational principles started to be used intensively as an alternative tool in order to describe the physical complex phenomena. In this paper we have discussed the fractional extension of the classical dynam ics. The fractional Hamiltonian is constructed and the fractional generalized Poisson 's brackets on the extended phase space is established. Copyright © 2009 by ASME.