Nigmatullin, Raoul R.Baleanu, Dumitru2016-06-072016-06-072010Nigmatullin, R.R., Baleanu, D. (2010). Is It Possible to Derive Newtonian Equations of Motion with Memory?. International Journal of Theoretical Physics, 49(4), 701-708. http://dx.doi.org/10.1007/s10773-010-0249-x0020-7748http://hdl.handle.net/20.500.12416/1037In 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 discussedeninfo:eu-repo/semantics/closedAccessFractional CalculusNewtonian EquationRiemann-Liouville Fractional IntegralArticle49470170810.1007/s10773-010-0249-x