Results 21 to 30 of about 221,525 (269)
A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration [PDF]
We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As particular cases, one obtains the usual time-scale Hilger derivative when the order of differentiation ...
Nadia Benkhettou +2 more
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Amphibian skin secretions have long been considered a convenient and useful natural source of bioactive compounds, but a comprehensive study of the effects of their dermal secretions on diverse parameters of the hemostasis system has not yet been carried
Iryna Udovychenko +4 more
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FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE [PDF]
Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of selfadjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator.
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Market demand for “clean and green” food products is increasing, and so there is growing opportunity for the seaweed aquaculture industry to take a position as a key food producer in this area.
Laura E Healy +7 more
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Cervical cancer is the most common cause of death for Indonesian women after human breast cancer. One of the efforts of cancer treatment is the utilization of natural compounds.
Mita Gebriella Inthe +2 more
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Spatial and temporal variations of fractionation of stable isotopes in East-Antarctic snow
Stable isotope ratios (δ18O and δD) in Antarctic snow and ice are basic proxy indices of climate in ice core studies. The relation between the ratios has important indicative significance for moisture sources.
Chuanjin Li +15 more
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The concept of entanglement fraction is generalized to define coherence fraction of a quantum state. Precisely, it quantifies the proximity of a quantum state to maximally coherent state and it can be used as a measure of coherence. Coherence fraction has a connection with $l_1$-norm coherence and provides the criteria of coherence distillability ...
Sumana Karmakar +4 more
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The objective of this work was to evaluate the effect of operating conditions and fructans size distribution on the tight Ultrafiltration process for agave fructans fractionation.
Noe Luiz-Santos +5 more
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Fractional Differential Equations and Expansions in Fractional Powers
We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate solutions are derived by constructing recursions for the relevant expansion coefficients.
Diego Caratelli +2 more
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Using Fractionation and Diffusion Ordered Spectroscopy to Study Lignin Molecular Weight.
Recent reports demonstrate that applications of the biopolymer lignin can be helped by the use of a fraction of the lignin which has an optimal molecular weight range.
James R. D. Montgomery +3 more
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