Differential equations with fractional derivatives and their applications
| Full text | |
| Author(s): |
Lenzi, Ervin K.
;
Rosseto, Michely P.
;
Gryczak, Derik W.
;
Evangelista, Luiz R.
;
da Silva, Luciano R.
;
Lenzi, Marcelo K.
;
Zola, Rafael S.
Total Authors: 7
|
| Document type: | Journal article |
| Source: | Entropy; v. 26, n. 8, p. 18-pg., 2024-08-01. |
| Abstract | |
We investigate the H-theorem for a class of generalized kinetic equations with fractional time-derivative, hyperbolic term, and nonlinear diffusion. When the H-theorem is satisfied, we demonstrate that different entropic forms may emerge due to the equation's nonlinearity. We obtain the entropy production related to these entropies and show that its form remains invariant. Furthermore, we investigate some behaviors for these equations from both numerical and analytical perspectives, showing a large class of behaviors connected with anomalous diffusion and their effects on entropy. (AU) | |
| FAPESP's process: | 14/50983-3 - INCT 2014: complex fluids |
| Grantee: | Antonio Martins Figueiredo Neto |
| Support Opportunities: | Research Projects - Thematic Grants |