Fractional Newtonian mechanics

Baleanu D., Khalili Golmankhaneh A., Nigmatullin R., Golmankhaneh A. K.

Central European Journal of Physics, cilt.8, sa.1, ss.120-125, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.2478/s11534-009-0085-x
  • Dergi Adı: Central European Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.120-125
  • Anahtar Kelimeler: Brownian motion, Fractional derivatives, Fractional Langevin equation, Fractional Newtonian mechanics, Fractional potential
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In the present paper, we have introduced the generalized Newtonian law and fractional Langevin equation. We have derived potentials corresponding to different kinds of forces involving both the right and the left fractional derivatives. Illustrative examples have worked out to explain the formalism. © Versita Warsaw and Springer-Verlag Berlin Heidelberg.