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The Lane - Emden Fractional Homogenous Differential Equation
Journal of Applied Nonlinear Dynamics, 2017Summary: In this paper we introduce a nonlinear fractional differential equation of Lane-Emden type. We establish a solution which satisfies the Müntz-Szász theorem conditions in terms of power series. Particular solutions are established for different values of the parameters.
Milici, Constantin +1 more
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A Linear Fractional Program with Homogeneous Constraints by
OPSEARCH, 1999This paper proposes an algorithm for solving a linear fractional functionals program when some of its constraints are homogeneous. Using these homogeneous constraints a transformation matrix T is constructed. Matrix T transforms the given problem into another linear fractional functional program but with fewer constraints.
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Homogenizing atomic dynamics by fractional differential equations
Journal of Computational Physics, 2017Abstract In this paper, we propose two ways to construct fractional differential equations (FDE) for approximating atomic chain dynamics. Taking harmonic chain as an example, we add a power function of fractional order to Taylor expansion of the dispersion relation, and determine the parameters by matching two selected wave numbers.
Shaoqiang Tang, Yuping Ying
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Statistical Multiplexing of Homogeneous Fractional Brownian Streams
Queueing Systems, 2004Fractional Brownian motion has been introduced as a mathematically tractable Gaussian traffic model with parameter \( 0.5< H < 1 \) [\textit{I. Norros}, Queueing Syst. 16, 387--396 (1994; Zbl 0811.68059)]. In this paper, the supremum functional of a fractional Brownian motion with a negative linear drift is used to model the queue length of a single ...
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FRACTIONATION OF OLFACTORY TISSUE HOMOGENATES. ISOLATION OF A CONCENTRATED PLASMA MEMBRANE FRACTION
Journal of Neurochemistry, 1969Abstract— Differential and sucrose‐density‐gradient centrifugation techniques were used for studies on the separation of subcellular particles from rabbit brain and olfactory tissue. Comparisons were made among various fractions from the two types of tissue.
R. B. Koch, N. L. Norring
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Fractional Leibniz-type Rules on Spaces of Homogeneous Type
Potential Analysis, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Liguang, Zhang, Yuying
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A note on duality in homogeneous fractional programming
Naval Research Logistics Quarterly, 1979AbstractFor a linear fractional programming problem, Sharma and Swarup have constructed a dual problem, also a linear fractional program, in which the objective functions of both primal and dual problems are the same. Craven and Mond have extended this result to a nonlinear fractional programming problem with linear constraints, and a dual problem for ...
Craven, B. D., Mond, B.
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Preparation of homogeneous protamines by the fractionation of nucleoprotamine
Chemistry of Natural Compounds, 1985A new method has been developed for obtaining individual protamines which is based on the chromatographic separation of an ultrasonically treated nucleoprotamine solution. The separation of the nucleoprotamine from the gonads of the Caspian sturgeonAcipenser stellatus on CM-Sephadex G-25 led to the isolation of three fractions. Analysis showed that two
N. V. Makarov +2 more
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On α-Homogeneous Fractional Differential Equations
2023 International Conference on Information Technology (ICIT), 2023Waseem Ghazi Alshanti +2 more
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Fractional integrals on spaces of homogeneous type
Approximation Theory and its Applications, 1992Well-known are classical Hardy-Littlewood-Sobolev and Zygmund results, that for the Riesz potential \[ I^ \alpha f(x)=\int_{R^ n}| x- y|^{\alpha-n}f(y)dy,\quad ...
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