Is it possible to derive Newtonian equations of motion with memory?

DOI10.1007/s10773-010-0249-xzbMath1190.83017OpenAlexW2061991115MaRDI QIDQ975718

Dumitru Baleanu, Raoul R. Nigmatullin

Publication date: 11 June 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0249-x

zbMATH Keywords

fractional calculusRiemann-Liouville fractional integralNewtonian equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Fractional partial differential equations (35R11)

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Cites Work

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• The dual action of fractional multi time Hamilton equations
• Newtonian law with memory
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• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional integral associated to the self-similar set or the generalized self-similar set and its physical interpretation
• Advances in Fractional Calculus

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