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Physical and geometrical interpretation of fractional operators

Journal of the Franklin Institute, 1998
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Moshrefi-Torbati, M., Hammond, J. K.
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Physical Properties of Fractions of GR-S and Their Vulcanizates

Rubber Chemistry and Technology, 1948
Abstract A large-scale precise fractionation of GR-S (X-55) was carried out at 25° C, using a fractional precipitation technique. Nine fractions, each weighing approximately 150 grams and comprising about 11 per cent by weight of the original unfractionated sample, were obtained, with number-average molecular weights varying from 4000 to 1,650 ...
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Physical and mechanical properties of polypropylene fractions

Polymer, 1961
Abstract A large-scale fractionation of polypropylene according to molecular weight as well as to crystallinity has been carried out. The fractions obtained differed widely in properties. A fraction of low crystallinity, known as a ‘stereoblock copolymer’, possessed rubberlike properties.
J. van Schooten, H. van Hoorn, J. Boerma
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Carbon Turnover in Soil Physical Fractions

Soil Science Society of America Journal, 1994
Abstract Soil organic matter (SOM) as represented in mathematical simulation models involves several hypothetical pools of differing resistance to decay. These conceptual pools satisfy requirements of modeling, but usually have little in common with existing information on physical and chemical properties of SOM ...
G. A. Buyanovsky, M. Aslam, G. H. Wagner
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Fractionation of the noble metals by physical processes

Contributions to Mineralogy and Petrology, 2006
During partial melting in the earth’s mantle, the noble metals become fractionated. Os, Ir, Ru, and Rh tend to remain in the mantle residue whereas Pt, Pd, and Re behave mildly incompatible and are sequestered to the silicate melt. There is consensus that sulfide plays a role in the fractionation process; the major noble metal repository in the mantle ...
Ballhaus, C.   +4 more
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Analysis of fractional models physical consistency

Journal of Vibration and Control, 2016
Recently, for fractional order model, a distinction has emerged between real state and pseudo state. Pseudo state is a vector of finite dimension but does not have the property of a state (it does not allow to determine future behavior of the system for instance).
Sabatier, Jocelyn, Farges, Christophe
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On physical interpretations of fractional integration and differentiation

Theoretical and Mathematical Physics, 1995
The paper deals with physical interpretation of fractional integration and differentiation in the Riemann-Liouville form [see Sections 2 and 6 in the book by \textit{S. G. Samko}, \textit{A. A. Kilbas} and \textit{O. I. Marichev}: ``Fractional integrals and derivatives: Theory and applications'' (Russian, 1987; Zbl 0617.26004; English translation, 1993;
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Generalized fractional operator with applications in mathematical physics

Chaos, Solitons & Fractals, 2022
Muhammad Samraiz   +5 more
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Preface: Advances in fractionality in mathematical physics

International Journal of Geometric Methods in Modern Physics
The preface is given to report the recent results on the special calculus operators containing the fractional calculus, general fractional calculus, fractal scaling-law calculus, power-law calculus, conformable calculus, and local fractional calculus. The inequalities for them are considered.
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