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Hybrid expansion methods for fractional non-linear mathematical systems with Erdelyi-Kober derivative operators in theory of tsunami wave modeling. [PDF]

Sci Rep
Damag FH, Saif A, Alshammari M, Alhubairah F, Alshammari MF, Alsharafi MS.   +5 more
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Nonlinear fractional dynamics with Kicks

Chaos, Solitons and Fractals, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasily E Tarasov
exaly   +3 more sources

Fractional dynamics of populations

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Margarita Rivero, Juan J. Trujillo, Luis Vázquez Martínez, M. Pilar Velasco   +3 more
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Fractional Dynamics of PMU Data

IEEE Transactions on Smart Grid, 2021
Novel dynamics are emerging in the power system due to the new Smart Grid (SG) environment. The high sampling rate of the Phasor Measurement Units (PMUs) enables them to capture the dynamic fluctuations in the power system measurements. Understanding the statistical and dynamic characteristics of the PMU data requires advanced data analytics techniques
Laith Shalalfeh, Paul Bogdan, Edmond A. Jonckheere   +2 more
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FOUNDATIONS OF FRACTIONAL DYNAMICS

Fractals, 1995
Time flow in dynamical systems is reconsidered in the ultralong time limit. The ultralong time limit is a limit in which a discretized time flow is iterated infinitely often and the discretization time step is infinite. The new limit is used to study induced flows in ergodic theory, in particular for subsets of measure zero.
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Fractional Brownian dynamics in proteins

The Journal of Chemical Physics, 2004
Correlation functions describing relaxation processes in proteins and other complex molecular systems are known to exhibit a nonexponential decay. The simulation study presented here shows that fractional Brownian dynamics is a good model for the internal dynamics of a lysozyme molecule in solution.
Kneller, Gerald, Hinsen, Konrad
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The dynamics of contract plasma fractionation

Biologicals, 2017
Plasma Derived Medicinal Products (PMDPs) are an essential component of the modern therapeutic armamentarium. They are differentiated from most other medicines in several ways, particularly the unique nature of the raw material used for their manufacture.
Albert, Farrugia, Daniela, Scaramuccia
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Continued fractions as dynamical systems

Applied Mathematics and Computation, 2012
In the paper under review, the authors study a dynamical systems approach to continued fractions. It is well-known that there is an interpretation of the continued fraction expansion process as a discrete two-dimensional dynamical system. On the contrary, in the present paper the authors study a new three-dimensional dynamical system which can be used ...
Felice Iavernaro, Donato Trigiante
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Void fraction dynamics in fluidization

AIP Conference Proceedings, 1992
A nonlinear evolution equation for void fraction in fluidization is derived from a one‐dimensional continuous model by applying the method of adiabatic eliminations. Based on our equation, the dynamics near the transitions point from stable fluidized beds to unstable ones is investigated. Phase separations in fluidized beds are also discussed.
Shin-ichi Sasa, Hisao Hayakawa
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