Foundations of nabla fractional calculus on time scales and inequalities
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2010/06/01
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Indian UGC (journal)
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Refrences15
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Citations49
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George A. Anastassiou
Cite
Anastassiou, George A. “Foundations of Nabla Fractional Calculus on Time Scales and Inequalities”. Computers &Amp; Mathematics With Applications, vol. 59, no. 12, 2010, pp. 3750-62, https://doi.org/10.1016/j.camwa.2010.03.072.
Anastassiou, G. A. (2010). Foundations of nabla fractional calculus on time scales and inequalities. Computers &Amp; Mathematics With Applications, 59(12), 3750-3762. https://doi.org/10.1016/j.camwa.2010.03.072
Anastassiou, George A. “Foundations of Nabla Fractional Calculus on Time Scales and Inequalities”. Computers &Amp; Mathematics With Applications 59, no. 12 (2010): 3750-62. https://doi.org/10.1016/j.camwa.2010.03.072.
Anastassiou GA. Foundations of nabla fractional calculus on time scales and inequalities. Computers & Mathematics with Applications. 2010;59(12):3750-62.
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Technology
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Quantitative methods
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Calculus of variations on time scales with nabla derivatives | Nonlinear Analysis |
| 57 | 2009 |
| Ostrowski Type Inequalities on Time Scales for Double Integrals | Acta Applicandae Mathematicae |
| 21 | 2010 |
| Discrete fractional calculus with the nabla operator | Electronic Journal of Qualitative Theory of Differential Equations |
| 182 | 2009 |
| Double integral calculus of variations on time scales | Computers & Mathematics with Applications |
| 54 | 2007 |
| An application of time scales to economics | Mathematical and Computer Modelling | 165 | 2006 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Fractional calculus of interval-valued functions on time scales | Chinese Journal of Physics |
| 2024 | |
Results on generalized neutral fractional impulsive dynamic equation over time scales using nonlocal initial condition | AIMS Mathematics | 2024 | ||
| Periodic Boundary Value Problems for Fractional Dynamic Equations on Time Scales | Results in Mathematics |
| 2023 | |
| Existence of solution of a nonlinear fractional dynamic equation with initial and boundary conditions on time scales | The Journal of Analysis |
| 2 | 2023 |
A non-linear fractional neutral dynamic equations: existence and stability results on time scales | AIMS Mathematics | 4 | 2023 |
Citations Analysis
The category
Science: Mathematics 41
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations and was published in 2011. The most recent citation comes from a 2024 study titled Fractional calculus of interval-valued functions on time scales. This article reached its peak citation in 2018, with 6 citations. It has been cited in 28 different journals, 21% of which are open access. Among related journals, the Advances in Difference Equations cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.