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Astrophysical Applications of Fractional Calculus

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Proceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science

Part of the book series: Astrophysics and Space Science Proceedings ((ASSSP))

Abstract

The paradigm of fractional calculus occupies an important place for the macroscopic description of subdiffusion. Its advance in theoretical astrophysics is expected to be very attractive too. In this report we discuss a recent development of the idea to some astrophysical problems. One of them is connected with a random migration of bright points associated with magnetic fields at the solar photosphere. The transport of the bright points has subdiffusive features that require the fractional generalization of the Leighton’s model. Another problem is related to the angular distribution of radio beams, being propagated through a medium with random inhomogeneities. The peculiarity of this medium is that radio beams are trapped because of random wave localization. This idea can be useful for the diagnostics of interplanetary and interstellar turbulent media.

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Authors and Affiliations

  1. Institute of Radio Astronomy, 4 Chervonopraporna St., Kharkov, 61002, Ukraine

    Aleksander A. Stanislavsky

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  1. Aleksander A. Stanislavsky
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Correspondence to Aleksander A. Stanislavsky .

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  1. Space Affairs (UNOOSA), United Nations Office for Outer, Wagramer Str. 5, Wien, 1400, Austria

    Hans J. Haubold

  2. Dept. Mathematics & Statistics, McGill University, Sherbrooke St. W. 805, Montreal, H3A 2K6, Canada

    A.M. Mathai

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Stanislavsky, A.A. (2010). Astrophysical Applications of Fractional Calculus. In: Haubold, H., Mathai, A. (eds) Proceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science. Astrophysics and Space Science Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03325-4_8

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  • DOI: https://doi.org/10.1007/978-3-642-03325-4_8

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