Mittag-Leffler Functions to Pathway Model to Tsallis Statistics - Condensed Matter > Statistical MechanicsReportar como inadecuado




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Abstract: In reaction rate theory, in input-output type models and inreaction-diffusion problems when the total derivatives are replaced byfractional derivatives the solutions are obtained in terms of Mittag-Lefflerfunctions and their generalizations. When fractional calculus enters into thepicture the solutions of these problems, usually available in terms ofhypergeometric functions, G and H-functions, switch to Mittag-Leffler functionsand their generalizations into Wright functions. In this paper, connections areestablished among generalized Mittag-Leffler functions, pathway model, Tsallisstatistics, superstatisitcs and power law, and among the corresponding entropicmeasures.



Autor: A.M. Mathai, H.J. Haubold

Fuente: https://arxiv.org/



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