Fractional Newtonian mechanics

• Authors: Dumitru Baleanu , Alireza Golmankhaneh , Raoul Nigmatullin , Ali Golmankhaneh
• Languages of publication: EN

Abstracts

EN

In the present paper, we have introduced the generalized Newtonian law and fractional Langevin equation. We have derived potentials corresponding to different kinds of forces involving both the right and the left fractional derivatives. Illustrative examples have worked out to explain the formalism.

Keywords

EN

fractional Newtonian mechanics; fractional derivatives; fractional Langevin equation; fractional potential; Brownian motion

Discipline

• 45.20.-d: Formalisms in classical mechanics
• 45.10.Hj: Perturbation and fractional calculus methods
• 45.20.Jj: Lagrangian and Hamiltonian mechanics
• 45.20.D-: Newtonian mechanics
• 02.30.Xx: Calculus of variations

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 1
• Pages: 120-125

Dates

published

1 - 2 - 2010

online

15 - 11 - 2009

Contributors

author

Dumitru Baleanu

author

Alireza Golmankhaneh

author

Raoul Nigmatullin

• Theoretical Physics Department, Kazan State University, Kremlevskaya str., 18 Kazan, 420008, Tatarstan, Russian Federation

author

Ali Golmankhaneh

• Department of Physics, Islamic Azad Uinversity-Oromiyeh Branch, Oromiyeh, PO Box 969, Iran

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Identifiers

DOI

10.2478/s11534-009-0085-x