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Why Do Big Data and Machine Learning Entail the Fractional Dynamics? [PDF]
Entropy, 2021 Fractional-order calculus is about the differentiation and integration of non-integer orders. Fractional calculus (FC) is based on fractional-order thinking (FOT) and has been shown to help us to understand complex systems better, improve the processing ...
Haoyu Niu, YangQuan Chen, Bruce J. West
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Fractional Dynamics of HIV with Source Term for the Supply of New CD4+ T-Cells Depending on the Viral Load via Caputo–Fabrizio Derivative [PDF]
Molecules, 2021 Human immunodeficiency virus (HIV) is a life life-threatening and serious infection caused by a virus that attacks CD4+ T-cells, which fight against infections and make a person susceptible to other diseases.
Zahir Shah +4 more
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Mathematics, 2021 General fractional dynamics (GFDynamics) can be viewed as an interdisciplinary science, in which the nonlocal properties of linear and nonlinear dynamical systems are studied by using general fractional calculus, equations with general fractional ...
Vasily E. Tarasov
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Fractal and Fractional, 2023 Infectious diseases can have a significant economic impact, both in terms of healthcare costs and lost productivity. This can be particularly significant in developing countries, where infectious diseases are more prevalent, and healthcare systems may be
Sultan Alyobi, Rashid Jan
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Complex Systems and Fractional Dynamics. [PDF]
Entropy (Basel), 2018 Complex systems (CS) are pervasive in many areas of science and technology, namely in financialmarkets, transportation, telecommunication and social networks, world and country economies,immunological systems, living organisms, computational systems, and electrical and mechanicalstructures [...]
M Lopes A, Tenreiro Machado JA.
europepmc +6 more sources
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-Markovian Quantum Dynamics
Entropy, 2021 A general approach to the construction of non-Markovian quantum theory is proposed. Non-Markovian equations for quantum observables and states are suggested by using general fractional calculus.
Vasily E. Tarasov
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Dynamic fractional cascading [PDF]
Algorithmica, 1990 Let U be an ordered set and let \(G=(V,E)\) be an undirected graph. For each \(v\in V\) there is a set C(v)\(\subseteq U\), the catalogue of v, and for every edge \(e\in E\) there is a range \(R(e)=[7(e),r(e)]\), which is a closed interval in U. \(N=\sum_{v\in V}| C(v)|\) is the total size of the catalogues.
Mehlhorn, Kurt, Näher, Stefan
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On the Dynamics of Ethnic Fractionalization [PDF]
SSRN Electronic Journal, 2007 Does fractionalization change over (short periods of) time? If so, are there any substantial implications for economic performance? To answer such questions, we construct a new panel data set with measures of ethnic, linguistic, and religious fractionalization for 26 former communist countries covering the period from 1989 to 2002.
Campos, Nauro F, Kuzeyev, Vitaliy
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