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Fractional phenomenology of cosmic ray anomalous diffusion


Ul'yanovsk State University, ul. L. Tolstogo 42, Ulyanovsk, 432700, Russian Federation

Evolution of the cosmic ray diffusion concept from the ordinary (Einstein) model of Brownian motion to the fractional models that appeared in the last decade is reviewed. The mathematical and physical foundations of these models are discussed, as are their consequences, associated problems and prospects for further development.

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Fulltext is also available at DOI: 10.3367/UFNe.0183.201311b.1175
PACS: 02.50.−r, 05.40.−a, 98.70.Sa (all)
DOI: 10.3367/UFNe.0183.201311b.1175
URL: https://ufn.ru/en/articles/2013/11/b/
000331111800002
2-s2.0-84893828285
2013PhyU...56.1074U
Citation: Uchaikin V V "Fractional phenomenology of cosmic ray anomalous diffusion" Phys. Usp. 56 1074–1119 (2013)
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Received: 3rd, December 2012, revised: 12th, April 2013, 16th, May 2013

Оригинал: Учайкин В В «Дробно-дифференциальная феноменология аномальной диффузии космических лучей» УФН 183 1175–1223 (2013); DOI: 10.3367/UFNr.0183.201311b.1175

References (149) Cited by (33) ↓ Similar articles (20)

  1. Uchaikin V V, Kozhemyakin I I, Litvinov V A Âdernaâ Fizika 87 96 (2024)
  2. Uchaikin V V, Kozhemyakin I I, Litvinov V A Phys. Atom. Nuclei 87 99 (2024)
  3. Uchaikin V V, Erlykin A D, Sibatov R T Uspekhi Fizicheskikh Nauk 193 233 (2023)
  4. [Uchaikin V V, Erlykin A D, Sibatov R T Phys. Usp. 66 221 (2023)]
  5. Liang Y, Wang W et al Phys. Rev. E 108 (3) (2023)
  6. Stella A L, Chechkin A, Teza G Phys. Rev. E 107 (5) (2023)
  7. Hollifield E Ejde (Special Issue 02) 135 (2023)
  8. Stella A L, Chechkin A, Teza G Phys. Rev. Lett. 130 (20) (2023)
  9. Milovanov A V EPL 140 59001 (2022)
  10. Chhetri M, Girg P, Hollifield E Partial Differ. Equ. Appl. 3 (1) (2022)
  11. Uchaikin V V J Math Sci 253 573 (2021)
  12. Uchaikin V V, Sibatov R T, Bezbatko D N Mathematics 9 1264 (2021)
  13. Saenko V V, Kovalnogov V N et al Mathematics 9 3219 (2021)
  14. Buonocore S, Sen M 11 (5) (2021)
  15. Awad E, Sandev T et al Chaos, Solitons & Fractals 152 111357 (2021)
  16. Rusov V D, Sharph I V et al Physics Of The Dark Universe 31 100746 (2021)
  17. Plekhanova M V, Baybulatova G D Math Methods In App Sciences 44 11810 (2021)
  18. Chhetri M, Girg P, Hollifield E Ejde 2020 81 (2020)
  19. Chhetri M, Girg P Nonlinear Analysis 191 111642 (2020)
  20. Kostrobij P P, Markovych B M et al Physica A: Statistical Mechanics And Its Applications 514 63 (2019)
  21. Le Vot F, Yuste S B, Abad E Phys. Rev. E 100 (1) (2019)
  22. Plekhanova M V, Baybulatova G D Springer Proceedings In Mathematics & Statistics Vol. Nonlinear Analysis and Boundary Value ProblemsSemilinear Equations in Banach Spaces with Lower Fractional Derivatives292 Chapter 6 (2019) p. 81
  23. Kostrobij P, Markovych B et al Math. Model. Comput. 6 58 (2019)
  24. Uchaikin V V, Sibatov R T Phys. Part. Nuclei 49 120 (2018)
  25. Tawfik A M, Fichtner H et al Eur. Phys. J. Plus 133 (6) (2018)
  26. Kostrobij P, Grygorchak I et al J. Phys. Chem. A 122 4099 (2018)
  27. Saenko V V J. Exp. Theor. Phys. 126 462 (2018)
  28. Uchaikin V V, Sibatov R T J. Phys.: Conf. Ser. 798 012029 (2017)
  29. Le Vot F, Abad E, Yuste S B Phys. Rev. E 96 (3) (2017)
  30. Rukolaine S A Physica A: Statistical Mechanics And Its Applications 450 205 (2016)
  31. Kostrobij P, Markovych B et al 57 (9) (2016)
  32. Uchaikin V V JAMP 03 187 (2015)
  33. Uchaikin V V, Sibatov R T, Byzykchi A N Bull. Russ. Acad. Sci. Phys. 79 592 (2015)
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