International Journal of Theoretical Physics

, Volume 49, Issue 4, pp 701–708 | Cite as

Is It Possible to Derive Newtonian Equations of Motion with Memory?

  • R. R. Nigmatullin
  • D. Baleanu


In this paper for a given example we proved that the Riemann-Liouville fractional integral term appears naturally and relates the external force with acceleration within the fractional Newtonian equation. The consideration of some self-similar process that leads to the fractional integral as well as some possible generalizations of the proposed model was discussed.


Fractional calculus Newtonian equation Riemann-Liouville fractional integral 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Theoretical Physics DepartmentKazan State UniversityKazanRussian Federation
  2. 2.Department of Mathematics and Computer ScienceCankaya UniversityAnkaraTurkey
  3. 3.Institute of Space SciencesMagurele-BucharestRomania

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