THE SOLUTION OF ONE CLASS OF EQUATIONS WITH FRACTIONAL SPATIAL DERIVATIVE

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 pr...

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Veröffentlicht in:East European journal of physics 2015-11, Vol.2 (3), p.26-39
Hauptverfasser: L. V. Tanatarov, V. Yu. Gonchar, A. I. Kirdin
Format: Artikel
Sprache:eng ; ukr
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Zusammenfassung: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.
ISSN:2312-4334
2312-4539