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A perturbative study of fractional relaxation phenomena

Author

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  • Tofighi, A.
  • Golestani, A.

Abstract

Fractional differential equations provide a convenient mathematical framework to discuss many important physical processes in the complex media. An expansion method has been proposed [V.E. Tarasov, G.M. Zaslavsky, Physica A 368 (2006) 399–415] to discuss the dynamics in the media where the order of the fractional derivative α is close to an integer number. This expansion is over the small parameter ε=n−α with small positive ε and positive integer n. They also found that this expansion in not uniform with respect to t≫1.

Suggested Citation

  • Tofighi, A. & Golestani, A., 2008. "A perturbative study of fractional relaxation phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 1807-1817.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:8:p:1807-1817
    DOI: 10.1016/j.physa.2007.11.046
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    Cited by:

    1. Morales-Delgado, V.F. & Gómez-Aguilar, J.F. & Escobar-Jiménez, R.F. & Taneco-Hernández, M.A., 2018. "Fractional conformable derivatives of Liouville–Caputo type with low-fractionality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 424-438.

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