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Anomalous diffusion phenomena with conservation law for the fractional kinetic process
Author(s) -
Tokmagambetov Niyaz,
Torebek Berikbol
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5277
Subject(s) - conservation law , homogeneous , mathematics , anomalous diffusion , kinetic energy , diffusion process , diffusion , statistical physics , fractional calculus , diffusion equation , process (computing) , mathematical analysis , mathematical physics , classical mechanics , physics , thermodynamics , innovation diffusion , computer science , combinatorics , knowledge management , economy , economics , service (business) , operating system
In this remark, an anomalous diffusion phenomena for a fractional kinetic equation is studied. Here, we find well‐posedness conditions for the anomalous diffusion equation for the fractional kinetic process in homogeneous and non‐homogeneous cases, given a discussion about an application to biology. Finally, we derive some numerical experiments.