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Mesoscopic Fractional Kinetic Equations versus a Riemann–Liouville Integral Type

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Advances in Fractional Calculus

It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in the result of reduction of a set of micromotions to some averaged collective motion in the mesoscale region. Key words Generalized Riemann–Liouville fractional integral, universal decoupling procedure.

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Author information

Authors and Affiliations

  1. Theoretical Physics Department, Kazan State University, Kremlevskaya 15, 420008, Kazan, Tatarstan, Russian Federation

    Raoul R. Nigmatullin

  2. Departamento de Análisis Matemático, University of La Laguna, 38271, La Laguna-Tenerife, Spain

    Juan J. Trujillo

Authors
  1. Raoul R. Nigmatullin
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  2. Juan J. Trujillo
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Editor information

Editors and Affiliations

  1. Université Bordeaux 1, – ENSEIRB, 351 cours de la Libération, F33405, Talence Cedex, France

    Jocelyn Sabatier

  2. Southern Illinois University, 62901, Carbondale, IL, USA

    Om Prakash Agrawal

  3. Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 4200-072, Porto, Portugal

    J. A. Tenreiro Machado

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Nigmatullin, R.R., Trujillo, J.J. (2007). Mesoscopic Fractional Kinetic Equations versus a Riemann–Liouville Integral Type. In: Sabatier, J., Agrawal, O.P., Machado, J.A.T. (eds) Advances in Fractional Calculus. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6042-7_11

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  • DOI: https://doi.org/10.1007/978-1-4020-6042-7_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6041-0

  • Online ISBN: 978-1-4020-6042-7

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