Newtonian law with memory


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

Nonlinear Dynamics, cilt.60, sa.1-2, ss.81-86, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 1-2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s11071-009-9581-1
  • Dergi Adı: Nonlinear Dynamics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.81-86
  • Anahtar Kelimeler: Equations with memory, Fractional derivatives, Fractional Newtonian mechanics
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this study we analyzed the Newtonian equation with memory. One physical model possessing memory effect is analyzed in detail. The fractional generalization of this model is investigated and the exact solutions within Caputo and Riemann-Liouville fractional derivatives are reported. © Springer Science+Business Media B.V. 2009.