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Foundations of statistical mechanics for unstable interactions.
Hilfer R. Hilfer R. Phys Rev E. 2022 Feb;105(2-1):024142. doi: 10.1103/PhysRevE.105.024142. Phys Rev E. 2022. PMID: 35291155
This model has index of stability sigma=2. Its thermodynamic potentials [originally obtained in R. Hilfer, Physica A 320, 429 (2003)10.1016/S0378-4371(02)01585-6] are confirmed up to a trivial energy shift. ...
This model has index of stability sigma=2. Its thermodynamic potentials [originally obtained in R. Hilfer, Physica A 320, 429 …
Numerical solutions of a generalized theory for macroscopic capillarity.
Doster F, Zegeling PA, Hilfer R. Doster F, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Mar;81(3 Pt 2):036307. doi: 10.1103/PhysRevE.81.036307. Epub 2010 Mar 5. Phys Rev E Stat Nonlin Soft Matter Phys. 2010. PMID: 20365854
A recent macroscopic theory of biphasic flow in porous media [R. Hilfer, Phys. Rev. E 73, 016307 (2006)] has proposed to treat microscopically percolating fluid regions differently from microscopically nonpercolating regions. ...
A recent macroscopic theory of biphasic flow in porous media [R. Hilfer, Phys. Rev. E 73, 016307 (2006)] has proposed to treat …
Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay.
Gou H, Li B. Gou H, et al. J Inequal Appl. 2017;2017(1):252. doi: 10.1186/s13660-017-1526-5. Epub 2017 Oct 10. J Inequal Appl. 2017. PMID: 29070935 Free PMC article.
In this paper, we deal with a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional derivative. ...
In this paper, we deal with a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional d …
Interpretation of a fractional diffusion equation with nonconserved probability density in terms of experimental systems with trapping or recombination.
Bisquert J. Bisquert J. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 1):011109. doi: 10.1103/PhysRevE.72.011109. Epub 2005 Jul 22. Phys Rev E Stat Nonlin Soft Matter Phys. 2005. PMID: 16089939
The fractional diffusion equation that is constructed replacing the time derivative with a fractional derivative, (0)D(alpha)(t) f = C(alpha) theta(2) f/theta x(2), where (0)D(alpha)(t) is the Riemann-Liouville derivative operator, is characterized by a probability density that d …
The fractional diffusion equation that is constructed replacing the time derivative with a fractional derivative, (0)D(alpha)(t) f = C(alpha …