THE SOLUTION OF ONE CLASS OF EQUATIONS WITH FRACTIONAL SPATIAL DERIVATIVE

  • L. V. Tanatarov National Science Center “Kharkov Institute of Physics and Technology” 1, Akademicheskaya Str., Kharkov 61108, Ukraine
  • V. Yu. Gonchar National Science Center “Kharkov Institute of Physics and Technology” 1, Akademicheskaya Str., Kharkov 61108, Ukraine
  • A. I. Kirdin National Science Center “Kharkov Institute of Physics and Technology” 1, Akademicheskaya Str., Kharkov 61108, Ukraine

Abstract

The equations of particle motion were analytically solved using model Levy flight for the probability density of finding a particle in the given interval, the average particle residence time in this interval, and the particle probability to leave this interval by the given moment. The solution is presented in an arbitrary orthogonal system of functions. This representation provides additional opportunities for studies of systems with anomalous diffusion in a variety of practical applications.

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Author Biography

A. I. Kirdin, National Science Center “Kharkov Institute of Physics and Technology” 1, Akademicheskaya Str., Kharkov 61108, Ukraine

References

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Published
2015-11-23
Cited
How to Cite
Tanatarov, L. V., Gonchar, V. Y., & Kirdin, A. I. (2015). THE SOLUTION OF ONE CLASS OF EQUATIONS WITH FRACTIONAL SPATIAL DERIVATIVE. East European Journal of Physics, 2(3), 26-39. https://doi.org/10.26565/2312-4334-2015-3-04