| Title:
|
Stochastic fuzzy differential equations with an application (English) |
| Author:
|
Malinowski, Marek T. |
| Author:
|
Michta, Mariusz |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
123-143 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we present the existence and uniqueness of solutions to the stochastic fuzzy differential equations driven by Brownian motion. The continuous dependence on initial condition and stability properties are also established. As an example of application we use some stochastic fuzzy differential equation in a model of population dynamics. (English) |
| Keyword:
|
fuzzy random variable |
| Keyword:
|
fuzzy stochastic process |
| Keyword:
|
fuzzy stochastic Lebesgue–Aumann integral |
| Keyword:
|
fuzzy stochastic Itô integral |
| Keyword:
|
stochastic fuzzy differential equation |
| Keyword:
|
stochastic fuzzy integral equation |
| MSC:
|
03E72 |
| MSC:
|
60H05 |
| MSC:
|
60H10 |
| MSC:
|
60H30 |
| idZBL:
|
Zbl 1213.60102 |
| idMR:
|
MR2807869 |
| . |
| Date available:
|
2011-04-12T13:10:46Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141483 |
| . |
| Reference:
|
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| . |
