Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Rudolf Hilfer"'
Publikováno v:
Axioms, Vol 11, Iss 7, p 327 (2022)
Existence and uniqueness of solutions for a simplified model of immiscible two-phase flow in porous media are obtained in this paper. The mathematical model is a simplified physical model with hysteresis in the flux functions. The resulting semilinea
Externí odkaz:
https://doaj.org/article/c369819fc8434f199412592c4981dd37
Autor:
Rudolf Hilfer, Yuri Luchko
Publikováno v:
Mathematics, Vol 7, Iss 2, p 149 (2019)
The purpose of this brief article is to initiate discussions in this special issue by proposing desiderata for calling an operator a fractional derivative or a fractional integral. Our desiderata are neither axioms nor do they define fractional deriv
Externí odkaz:
https://doaj.org/article/5882dc21d58846f19e961df5a2e7aad0
Publikováno v:
Image Analysis and Stereology, Vol 28, Iss 1, Pp 23-34 (2011)
A stochastic geometrical modeling method for reconstructing three dimensional pore scale microstructures of multiscale porous media is presented. In this method the porous medium is represented by a random but spatially correlated structure of object
Externí odkaz:
https://doaj.org/article/ecbb7003d6fa478bb85c342dda018bc8
Autor:
Tillmann Kleiner, Rudolf Hilfer
Publikováno v:
Mathematische Nachrichten. 296:1938-1963
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::233095ef83e355f0b41052554b364849
https://doi.org/10.1002/mana.202100330
https://doi.org/10.1002/mana.202100330
Autor:
Tillmann Kleiner, Rudolf Hilfer
Publikováno v:
Fractional Calculus and Applied Analysis. 25:267-298
Sequential generalized fractional Riemann–Liouville derivatives are introduced as composites of distributional derivatives on the right half axis and partially defined operators, called Dirac-function removers, that remove the component of singleto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd477051d48d80bd7c5f8e66a9ad4df7
https://doi.org/10.1007/s13540-021-00012-0
https://doi.org/10.1007/s13540-021-00012-0
Autor:
Rudolf Hilfer
Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of ma
Autor:
Rudolf Hilfer, T. Kleiner
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 199:1547-1569
The convolution of two weighted balls of measures is proved to be contained in a third weighted ball if and only if the supremal convolution of the corresponding two weights is less than or equal to the third weight. Here supremal convolution is intr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41929986bd5cb80a0d306b099ea62e9b
https://doi.org/10.1007/s10231-019-00931-z
https://doi.org/10.1007/s10231-019-00931-z
Autor:
Tillmann Kleiner, Rudolf Hilfer
Publikováno v:
Fractional Calculus and Applied Analysis. 22:1225-1248
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb28d30e8b9d4b57b991758c7029ddc0
https://doi.org/10.1515/fca-2019-0065
https://doi.org/10.1515/fca-2019-0065
Autor:
Rudolf Hilfer
Publikováno v:
Physical Review E. 102
Relative permeabilities and capillary number correlations are widely used for quantitative estimates of enhanced water flood performance in porous media. They enter as essential parameters into reservoir simulations. Experimental capillary number cor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75f089c55d00d3d9dd4fd8684665cdbc
https://doi.org/10.1103/physreve.102.053103
https://doi.org/10.1103/physreve.102.053103
Autor:
Rudolf Hilfer
Publikováno v:
Basic Theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27cd93114de5d3328695c9297965f298
https://doi.org/10.1515/9783110571622-003
https://doi.org/10.1515/9783110571622-003