Academic Bibliography

 Search 200 years of publications by Ghent University researchers.
Advanced search
1 file | 833.21 KB
Add to list
  1. Search results
  2. Anomalous diffusion phenomena with co...

Anomalous diffusion phenomena with conservation law for the fractional kinetic process

Niyaz Tokmagambetov (UGent) and Berikbol Torebek (UGent)
(2018) MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 41(17). p.8161-8170
Author
Organization
Abstract
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.
Keywords
General Engineering, General Mathematics, anomalous diffusion, boundary condition, Cauchy problem, Caputo derivative, conservation law, diffusion of particles, fractional kinetic equation, Riemann-Liouville operator, Sturm-Liouville equation, well-posedness

Downloads

  • Download
    (...).pdf
    • full text (Published version)
    • |
    • UGent only
    • |
    • PDF
    • |
    • 833.21 KB

Citation

Please use this url to cite or link to this publication:

MLA
Tokmagambetov, Niyaz, and Berikbol Torebek. “Anomalous Diffusion Phenomena with Conservation Law for the Fractional Kinetic Process.” MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 41, no. 17, 2018, pp. 8161–70, doi:10.1002/mma.5277.
APA
Tokmagambetov, N., & Torebek, B. (2018). Anomalous diffusion phenomena with conservation law for the fractional kinetic process. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 41(17), 8161–8170. https://doi.org/10.1002/mma.5277
Chicago author-date
Tokmagambetov, Niyaz, and Berikbol Torebek. 2018. “Anomalous Diffusion Phenomena with Conservation Law for the Fractional Kinetic Process.” MATHEMATICAL METHODS IN THE APPLIED SCIENCES 41 (17): 8161–70. https://doi.org/10.1002/mma.5277.
Chicago author-date (all authors)
Tokmagambetov, Niyaz, and Berikbol Torebek. 2018. “Anomalous Diffusion Phenomena with Conservation Law for the Fractional Kinetic Process.” MATHEMATICAL METHODS IN THE APPLIED SCIENCES 41 (17): 8161–8170. doi:10.1002/mma.5277.
Vancouver
1.
Tokmagambetov N, Torebek B. Anomalous diffusion phenomena with conservation law for the fractional kinetic process. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 2018;41(17):8161–70.
IEEE
[1]
N. Tokmagambetov and B. Torebek, “Anomalous diffusion phenomena with conservation law for the fractional kinetic process,” MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 41, no. 17, pp. 8161–8170, 2018.
@article{8662777,
  abstract     = {{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.}},
  author       = {{Tokmagambetov, Niyaz and Torebek, Berikbol}},
  issn         = {{0170-4214}},
  journal      = {{MATHEMATICAL METHODS IN THE APPLIED SCIENCES}},
  keywords     = {{General Engineering,General Mathematics,anomalous diffusion,boundary condition,Cauchy problem,Caputo derivative,conservation law,diffusion of particles,fractional kinetic equation,Riemann-Liouville operator,Sturm-Liouville equation,well-posedness}},
  language     = {{eng}},
  number       = {{17}},
  pages        = {{8161--8170}},
  title        = {{Anomalous diffusion phenomena with conservation law for the fractional kinetic process}},
  url          = {{http://doi.org/10.1002/mma.5277}},
  volume       = {{41}},
  year         = {{2018}},
}
Altmetric
View in Altmetric
Web of Science
Times cited: