,
volume 18
,
issue 09
,
pages 2717-2725
FRACTIONAL PROCESSES: FROM POISSON TO BRANCHING ONE
Publication type: Journal Article
Publication date: 2008-11-28
scimago Q1
wos Q2
SJR: 0.596
CiteScore: 3.9
Impact factor: 2.3
ISSN: 02181274, 17936551
Applied Mathematics
Engineering (miscellaneous)
Modeling and Simulation
Abstract
Fractional generalizations of the Poisson process and branching Furry process are considered. The link between characteristics of the processes, fractional differential equations and Lèvy stable densities are discussed and used for the construction of the Monte Carlo algorithm for simulation of random waiting times in fractional processes. Numerical calculations are performed and limit distributions of the normalized variable Z = N/〈N〉 are found for both processes.
Found
Nothing found, try to update filter.
Found
Nothing found, try to update filter.
Top-30
Journals
|
1
2
3
4
5
6
7
8
9
|
|
|
Springer Monographs in Mathematics
9 publications, 11.84%
|
|
|
Nonlinear Physical Science
6 publications, 7.89%
|
|
|
Journal of Statistical Physics
5 publications, 6.58%
|
|
|
Mathematics
4 publications, 5.26%
|
|
|
Fractal and Fractional
2 publications, 2.63%
|
|
|
Journal of Mathematical Sciences
2 publications, 2.63%
|
|
|
Fractional Calculus and Applied Analysis
2 publications, 2.63%
|
|
|
Statistics and Probability Letters
2 publications, 2.63%
|
|
|
Journal of Experimental and Theoretical Physics
2 publications, 2.63%
|
|
|
Bernoulli
2 publications, 2.63%
|
|
|
Journal of Applied Probability
2 publications, 2.63%
|
|
|
Physical Review E
1 publication, 1.32%
|
|
|
Physics-Uspekhi
1 publication, 1.32%
|
|
|
Uspekhi Fizicheskih Nauk
1 publication, 1.32%
|
|
|
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 publication, 1.32%
|
|
|
Electronic Journal of Probability
1 publication, 1.32%
|
|
|
JVC/Journal of Vibration and Control
1 publication, 1.32%
|
|
|
Axioms
1 publication, 1.32%
|
|
|
International Journal of Environmental Research and Public Health
1 publication, 1.32%
|
|
|
Astrophysics
1 publication, 1.32%
|
|
|
Statistics and Computing
1 publication, 1.32%
|
|
|
Methodology and Computing in Applied Probability
1 publication, 1.32%
|
|
|
Computational Statistics
1 publication, 1.32%
|
|
|
Theoretical and Mathematical Physics(Russian Federation)
1 publication, 1.32%
|
|
|
Complex Analysis and Operator Theory
1 publication, 1.32%
|
|
|
Journal of Statistical Mechanics: Theory and Experiment
1 publication, 1.32%
|
|
|
Journal of Physics A: Mathematical and Theoretical
1 publication, 1.32%
|
|
|
Communications in Nonlinear Science and Numerical Simulation
1 publication, 1.32%
|
|
|
Computers and Mathematics with Applications
1 publication, 1.32%
|
|
|
1
2
3
4
5
6
7
8
9
|
Publishers
|
5
10
15
20
25
30
|
|
|
Springer Nature
29 publications, 38.16%
|
|
|
MDPI
8 publications, 10.53%
|
|
|
Elsevier
6 publications, 7.89%
|
|
|
Taylor & Francis
6 publications, 7.89%
|
|
|
Pleiades Publishing
5 publications, 6.58%
|
|
|
Walter de Gruyter
3 publications, 3.95%
|
|
|
Cambridge University Press
3 publications, 3.95%
|
|
|
Uspekhi Fizicheskikh Nauk Journal
2 publications, 2.63%
|
|
|
IOP Publishing
2 publications, 2.63%
|
|
|
Institute of Electrical and Electronics Engineers (IEEE)
2 publications, 2.63%
|
|
|
American Physical Society (APS)
1 publication, 1.32%
|
|
|
World Scientific
1 publication, 1.32%
|
|
|
Institute of Mathematical Statistics
1 publication, 1.32%
|
|
|
SAGE
1 publication, 1.32%
|
|
|
Polskie Towarzystwo Statystyczne
1 publication, 1.32%
|
|
|
Hindawi Limited
1 publication, 1.32%
|
|
|
Steklov Mathematical Institute
1 publication, 1.32%
|
|
|
Russian Institute for Scientific and Technical Information - VINITI RAS
1 publication, 1.32%
|
|
|
Wiley
1 publication, 1.32%
|
|
|
AIP Publishing
1 publication, 1.32%
|
|
|
5
10
15
20
25
30
|
- We do not take into account publications without a DOI.
- Statistics recalculated weekly.
Are you a researcher?
Create a profile to get free access to personal recommendations for colleagues and new articles.
Metrics
76
Total citations:
76
Citations from 2024:
9
(11.84%)
Cite this
GOST |
RIS |
BibTex |
MLA
Cite this
GOST
Copy
UCHAIKIN V. V., CAHOY D. O., SIBATOV R. T. FRACTIONAL PROCESSES: FROM POISSON TO BRANCHING ONE // International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2008. Vol. 18. No. 09. pp. 2717-2725.
GOST all authors (up to 50)
Copy
UCHAIKIN V. V., CAHOY D. O., SIBATOV R. T. FRACTIONAL PROCESSES: FROM POISSON TO BRANCHING ONE // International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2008. Vol. 18. No. 09. pp. 2717-2725.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1142/S0218127408021932
UR - https://doi.org/10.1142/S0218127408021932
TI - FRACTIONAL PROCESSES: FROM POISSON TO BRANCHING ONE
T2 - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
AU - UCHAIKIN, V. V.
AU - CAHOY, D. O.
AU - SIBATOV, R. T.
PY - 2008
DA - 2008/11/28
PB - World Scientific
SP - 2717-2725
IS - 09
VL - 18
SN - 0218-1274
SN - 1793-6551
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{2008_UCHAIKIN,
author = {V. V. UCHAIKIN and D. O. CAHOY and R. T. SIBATOV},
title = {FRACTIONAL PROCESSES: FROM POISSON TO BRANCHING ONE},
journal = {International Journal of Bifurcation and Chaos in Applied Sciences and Engineering},
year = {2008},
volume = {18},
publisher = {World Scientific},
month = {nov},
url = {https://doi.org/10.1142/S0218127408021932},
number = {09},
pages = {2717--2725},
doi = {10.1142/S0218127408021932}
}
Cite this
MLA
Copy
UCHAIKIN, V. V., et al. “FRACTIONAL PROCESSES: FROM POISSON TO BRANCHING ONE.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 18, no. 09, Nov. 2008, pp. 2717-2725. https://doi.org/10.1142/S0218127408021932.