The fractional variation and the precise representative of $$BV^{\alpha ,p}$$ functions
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2022/04/01
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Indian UGC (journal)
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Refrences35
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Citations8
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Giovanni E. Comi
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Daniel Spector
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Giorgio Stefani
Abstract
Cite
Comi, Giovanni E., et al. “The Fractional Variation and the Precise Representative of $$BV^{\alpha ,p}$$ Functions”. Fractional Calculus and Applied Analysis, vol. 25, no. 2, 2022, pp. 520-58, https://doi.org/10.1007/s13540-022-00036-0.
Comi, G. E., Spector, D., & Stefani, G. (2022). The fractional variation and the precise representative of $$BV^{\alpha ,p}$$ functions. Fractional Calculus and Applied Analysis, 25(2), 520-558. https://doi.org/10.1007/s13540-022-00036-0
Comi GE, Spector D, Stefani G. The fractional variation and the precise representative of $$BV^{\alpha ,p}$$ functions. Fractional Calculus and Applied Analysis. 2022;25(2):520-58.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| $$\Gamma $$-convergence of polyconvex functionals involving s-fractional gradients to their local counterparts | Calculus of Variations and Partial Differential Equations |
| 14 | 2021 |
| Fractional vector analysis based on invariance requirements (critique of coordinate approaches) | Continuum Mechanics and Thermodynamics |
| 34 | 2020 |
| A distributional approach to fractional Sobolev spaces and fractional variation: Existence of blow-up | Journal of Functional Analysis |
| 38 | 2019 |
| A noninequality for the fractional gradient | Portugaliae Mathematica |
| 5 | 2019 |
| 10.1142/S0219199717500031 | Communications in Contemporary Mathematics |
| 2018 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Nonlocal Bounded Variations with Applications | SIAM Journal on Mathematical Analysis |
| 2024 | |
Non-local BV functions and a denoising model with L
1 fidelity | Advances in Calculus of Variations |
| 2 | 2024 |
| Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups | Fractional Calculus and Applied Analysis |
| 2023 | |
Fractional divergence-measure fields, Leibniz rule and Gauss–Green formula | Bollettino dell'Unione Matematica Italiana |
| 1 | 2023 |
Extending linear growth functionals to functions of bounded fractional variation | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
| 1 | 2023 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 8 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 7 |
The category
Science: Mathematics 8
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Divergence & curl with fractional order and was published in 2022. The most recent citation comes from a 2024 study titled Nonlocal Bounded Variations with Applications. This article reached its peak citation in 2023, with 4 citations. It has been cited in 8 different journals. Among related journals, the SIAM Journal on Mathematical Analysis cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.