Fractional dynamics of systems with long-range interaction
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2006/12/01
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Indian UGC (journal)
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Refrences70
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Citations144
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Vasily E. Tarasov
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George M. Zaslavsky
Journal Categories
Science
Mathematics
Science
Physics
Science
Physics
Electricity and magnetism
Electricity
Plasma physics
Ionized gases
Technology
Engineering (General)
Civil engineering (General)
Mechanics of engineering
Applied mechanics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Fractional Ginzburg–Landau equation for fractal media | Physica A: Statistical Mechanics and its Applications |
| 155 | 2005 |
| Possible experimental test of continuous medium model for fractal media | Physics Letters A |
| 41 | 2005 |
| Fractional generalization of the Ginzburg–Landau equation: an unconventional approach to critical phenomena in complex media | Physics Letters A |
| 79 | 2005 |
| Continuous medium model for fractal media | Physics Letters A |
| 163 | 2005 |
| Fractional hydrodynamic equations for fractal media | Annals of Physics |
| 161 | 2005 |
Refrences Analysis
The category
Science: Physics 32
is the most frequently represented among the references in this article. It primarily includes studies from Physical Review E and Physics Reports. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Radial solution of the Logarithmic Laplacian system | Applied Mathematics-A Journal of Chinese Universities |
| 2024 | |
Qualitative properties of solutions for system involving the fractional Laplacian | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
| 2024 | |
Fractional-order acoustic diffraction rings: A nonlocal computational framework for scattering surface-launched waves | AIP Advances |
| 2024 | |
Exact Finite-Difference Calculus: Beyond Set of Entire Functions | Mathematics |
| 2024 | |
| A new type of bubble solutions for a critical fractional Schrödinger equation | Discrete and Continuous Dynamical Systems |
| 2024 |
Citations Analysis
The category
Science: Mathematics 95
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Continuous limit of discrete systems with long-range interaction and was published in 2006. The most recent citation comes from a 2024 study titled Fractional-order acoustic diffraction rings: A nonlocal computational framework for scattering surface-launched waves. This article reached its peak citation in 2022, with 14 citations. It has been cited in 80 different journals, 12% of which are open access. Among related journals, the Communications in Nonlinear Science and Numerical Simulation cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.