Is It Possible To Derive Newtonian Equations of Motion With Memory
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Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer/plenum Publishers
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
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.
Description
Keywords
Fractional Calculus, Newtonian Equation, Riemann-Liouville Fractional Integral, Fractional calculus, Riemann-Liouville fractional integral, Newtonian equation, 510, 004, Approximation procedures, weak fields in general relativity and gravitational theory, Equations of motion in general relativity and gravitational theory, fractional calculus, Fractional partial differential equations, Explicit solutions, first integrals of ordinary differential equations
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Nigmatullin, 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-x
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
28
Source
International Journal of Theoretical Physics
Volume
49
Issue
4
Start Page
701
End Page
708
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Citations
CrossRef : 18
Scopus : 33
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Mendeley Readers : 8
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