Publication:
Stability of fractional order of time nonlinear fractional diffusion equation with Riemann–Liouville derivative
Stability of fractional order of time nonlinear fractional diffusion equation with Riemann–Liouville derivative
| datacite.subject.fos | oecd::Natural sciences::Mathematics | |
| dc.contributor.author | Le Dinh Long | |
| dc.contributor.author | Ho Duy Binh | |
| dc.contributor.author | Devendra Kumar | |
| dc.contributor.author | Nguyen Hoang Luc | |
| dc.contributor.author | Nguyen Huu Can | |
| dc.date.accessioned | 2022-11-09T07:49:35Z | |
| dc.date.available | 2022-11-09T07:49:35Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this paper, we investigate an equation of nonlinear fractional diffusion with the derivative of Riemann–Liouville. Firstly, we determine the global existence and uniqueness of the mild solution. Next, under some assumptions on the input data, we discuss continuity with regard to the fractional derivative order for the time. Our key idea is to combine the theories Mittag–Leffler functions and Banach fixed-point theorem. Finally, we present some examples to test the proposed theory. | |
| dc.identifier.doi | 10.1002/mma.8166 | |
| dc.identifier.uri | http://repository.vlu.edu.vn:443/handle/123456789/1065 | |
| dc.language.iso | en_US | |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.relation.issn | 0170-4214 | |
| dc.relation.issn | 1099-1476 | |
| dc.subject | Continuity estimates | |
| dc.subject | Dirichlet boundary value problem | |
| dc.subject | Fractional diffusion equation | |
| dc.subject | Liouville derivative | |
| dc.title | Stability of fractional order of time nonlinear fractional diffusion equation with Riemann–Liouville derivative | |
| dc.type | journal-article | |
| dspace.entity.type | Publication | |
| oaire.citation.issue | 10 | |
| oaire.citation.volume | 45 |