-transparent.png){kind=logo}
We analyze a nonlinear fractional diffusion equation with absorption by employing fractional spatial derivatives and obtain some more exact classes of solutions. In particular, the diffusion equation employed here extends some known diffusion equations such as the porous medium equation and the thin film equation. We also discuss some implications by considering a diffusion coefficient D(x,t)=D(t)/x/(-theta) (theta in R) and a drift force F=-k(1)(t)x+k(alpha)x/x/(alpha-1). In both situations, we relate our solutions to those obtained within the maximum entropy principle by using the Tsallis entropy.
| UI | MeSH Term | Description | Entries |
|---|
Related Publications
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
January 2014,
TheScientificWorldJournal,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
June 2023,
Mathematical biosciences and engineering : MBE,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
November 1990,
Mathematical biosciences,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
August 2000,
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
June 1975,
Bulletin of mathematical biology,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
September 1996,
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
February 2000,
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
January 2017,
Journal of inequalities and applications,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
May 2009,
Physical review. E, Statistical, nonlinear, and soft matter physics,
E K Lenzi, and
G A Mendes, and
R S Mendes, and
L R da Silva, and
L S Lucena
April 2002,
Physical review. E, Statistical, nonlinear, and soft matter physics,
