Results 41 to 50 of about 53,428 (260)
Transient Dynamics of a Fractional Fisher Equation
Fractal and FractionalWe investigate the transient dynamics of the Fisher equation under nonlinear diffusion and fractional operators. Firstly, we investigate the effects of the nonlinear diffusivity parameter in the integer-order Fisher equation, by considering a Gaussian ...
Enrique C. Gabrick +9 more
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General Non-Local Continuum Mechanics: Derivation of Balance Equations
Mathematics, 2022 In this paper, mechanics of continuum with general form of nonlocality in space and time is considered. Some basic concepts of nonlocal continuum mechanics are discussed. General fractional calculus (GFC) and general fractional vector calculus (GFVC) are
Vasily E. Tarasov
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Fractional-time Schrödinger equation: Fractional dynamics on a comb [PDF]
Chaos, Solitons & Fractals, 2011 The physical relevance of the fractional time derivative in quantum mechanics is discussed. It is shown that the introduction of the fractional time Scrödinger equation (FTSE) in quantum mechanics by analogy with the fractional diffusion $\frac{\prt}{\prt t}\rightarrow \frac{\prt^α}{\prt t^α}$ can lead to an essential deficiency in the quantum ...
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On the controllability of fractional dynamical systems [PDF]
International Journal of Applied Mathematics and Computer Science, 2012 Abstract This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder’s fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function.
Balachandran, Krishnan +1 more
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
Fractional Dynamics of Information Entropy in Quantum Wire System Under Rashba Interaction
Fractal and FractionalWe present a theoretical examination of the fractional dynamics of information entropy within a semiconductor nanowire system influenced by Rashba spin–orbit interaction and external magnetic fields.
Rabie I. Mohamed +3 more
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Gibbs Measure Dynamics for the Fractional NLS [PDF]
SIAM Journal on Mathematical Analysis, 2020 Correction of minor errors in the previous ...
Sun, Chenmin, Tzvetkov, Nikolay
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source
Periodically Kicked Rotator with Power-Law Memory: Exact Solution and Discrete Maps
Fractal and FractionalThis article discusses the transformation of a continuous-time model of the fractional system into a discrete-time model of the fractional system. For the continuous-time model, the exact solution of the nonlinear equation with fractional derivatives ...
Vasily E. Tarasov
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Continued Fractions and Dynamics
Applied Mathematics, 2014 Several links between continued fractions and classical and less classical constructions in dynamical systems theory are presented and discussed.
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