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Newtonian law with memory

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Abstract

In this study we analyzed the Newtonian equation with memory. One physical model possessing memory effect is analyzed in detail. The fractional generalization of this model is investigated and the exact solutions within Caputo and Riemann–Liouville fractional derivatives are reported.

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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, 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

  3. Department of Physics, Islamic Azad University-Oromiyeh Branch, Oromiyeh, PO Box 969, Iran

    Alireza K. Golmankhaneh & Ali K. Golmankhaneh

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

    Alireza K. Golmankhaneh

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

    Raoul R. Nigmatullin

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

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Baleanu, D., Golmankhaneh, A.K., Golmankhaneh, A.K. et al. Newtonian law with memory. Nonlinear Dyn 60, 81–86 (2010). https://doi.org/10.1007/s11071-009-9581-1

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  • DOI: https://doi.org/10.1007/s11071-009-9581-1

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