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Fractional Newtonian mechanics

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Central European Journal of Physics

Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Çankaya University, 06530, Ankara, Turkey

    Dumitru Baleanu

  2. Institute of Space Sciences, P.O.BOX, MG-23, R 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

  3. Department of Physics, University of Pune, Pune, 411007, India

    Alireza K. Golmankhaneh

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

    Alireza K. Golmankhaneh & Ali K. Golmankhaneh

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

    Raoul Nigmatullin

Authors
  1. Dumitru Baleanu
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  2. Alireza K. Golmankhaneh
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  3. Raoul Nigmatullin
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  4. Ali K. Golmankhaneh
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Correspondence to Dumitru Baleanu.

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Baleanu, D., Golmankhaneh, A.K., Nigmatullin, R. et al. Fractional Newtonian mechanics. centr.eur.j.phys. 8, 120–125 (2010). https://doi.org/10.2478/s11534-009-0085-x

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  • DOI: https://doi.org/10.2478/s11534-009-0085-x

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