FRACTIONAL FISHER-KPP TYPE EQUATIONS ON STRATIFIED GROUPS.
| dc.contributor.author | Jabbarkhanov, Khumoyun | |
| dc.date.accessioned | 2023-11-17T04:42:17Z | |
| dc.date.available | 2023-11-17T04:42:17Z | |
| dc.date.issued | 2023-08-28 | |
| dc.description.abstract | This work investigates the fractional space-time behavior of the Fisher-KPP equation with initial boundary values. Notably, fractional versions of Fisher-KPP equations describe complex phenomena in cases where the classical local approach is limited. In this work, we combine different techniques from fractional calculus and non-commutative analysis, which provide new results for various fractional models involving the Fisher-KPP equation. Firstly, we prove that if the initial data lies between 0 and 1, then the global solution also belongs to the interval [0,1]. Secondly, we establish that the solution in the L^2 norm is bounded by the L^2 norm of the initial data. Lastly, we demonstrate that the model exhibits blow-up behavior on a finite time interval under certain conditions. Importantly, the results obtained in the non-commutative analysis cover many previously known results in the commutative case. | en_US |
| dc.identifier.citation | Jabbarkhanov, Khumoyun. (2023). Fractional Fisher-KPP type equations on stratified groups. Nazarbayev University, School of Sciences and Humanities | en_US |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/7525 | |
| dc.language.iso | en | en_US |
| dc.publisher | Nazarbayev University, School of Sciences and Humanities | en_US |
| dc.rights | Attribution 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/us/ | * |
| dc.subject | Type of access: Open access | en_US |
| dc.subject | fractional Fisher-KPP equation | en_US |
| dc.subject | Caputo type derivative | en_US |
| dc.subject | fractional Poincare inequality | en_US |
| dc.subject | fractional p-Laplacian | en_US |
| dc.subject | fractional p-sub-Laplacian | en_US |
| dc.subject | blow-up solution | en_US |
| dc.title | FRACTIONAL FISHER-KPP TYPE EQUATIONS ON STRATIFIED GROUPS. | en_US |
| dc.type | PhD thesis | en_US |
| workflow.import.source | science |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- PhD Thesis work for repository.pdf
- Size:
- 862.62 KB
- Format:
- Adobe Portable Document Format
- Description:
- thesis
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 6.28 KB
- Format:
- Item-specific license agreed upon to submission
- Description: