Discrete fractional calculus with the nabla operator

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Cite
Atici, Ferhan M., and Paul Eloe. “Discrete Fractional Calculus With the Nabla Operator”. Electronic Journal of Qualitative Theory of Differential Equations, no. 3, 2009, pp. 1-12, https://doi.org/10.14232/ejqtde.2009.4.3.
Atici, F. M., & Eloe, P. (2009). Discrete fractional calculus with the nabla operator. Electronic Journal of Qualitative Theory of Differential Equations, 3, 1-12. https://doi.org/10.14232/ejqtde.2009.4.3
Atici, Ferhan M., and Paul Eloe. “Discrete Fractional Calculus With the Nabla Operator”. Electronic Journal of Qualitative Theory of Differential Equations, no. 3 (2009): 1-12. https://doi.org/10.14232/ejqtde.2009.4.3.
Atici FM, Eloe P. Discrete fractional calculus with the nabla operator. Electronic Journal of Qualitative Theory of Differential Equations. 2009;(3):1-12.
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Citations
Title Journal Journal Categories Citations Publication Date
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  • Science: Mathematics
  • Science: Mathematics
 2024
Fractional Lindley distribution generated by time scale theory, with application to discrete-time lifetime data Mathematical Population Studies
  • Science: Mathematics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Social Sciences: Economic theory. Demography
  • Social Sciences: Statistics
  • Geography. Anthropology. Recreation: Environmental sciences
  • Social Sciences
 2024
A Stochastic Discrete Fractional Cournot Duopoly Game: Modeling, Stability, and Optimal Control

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 2024
Fractional-Order Periodic Maps: Stability Analysis and Application to the Periodic-2 Limit Cycles in the Nonlinear Systems Journal of Nonlinear Science
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  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Mathematics
  • Science: Mathematics
 2023
Bounded Non-oscillatory Solutions of Nabla Forced Fractional Difference Equations with Positive and Negative Terms Qualitative Theory of Dynamical Systems
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
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Citations Analysis
Category Category Repetition
Science: Mathematics131
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods67
Science: Physics36
Science: Science (General)22
Technology: Engineering (General). Civil engineering (General)18
Technology: Mechanical engineering and machinery8
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics7
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics7
Science: Chemistry6
Technology: Chemical technology6
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials6
Science: Astronomy: Astrophysics5
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks4
Science: Mathematics: Instruments and machines: Electronic computers. Computer science4
Science: Physics: Heat: Thermodynamics4
Science: Mathematics: Analysis4
Science: Mathematics: Probabilities. Mathematical statistics3
Science: Science (General): Cybernetics: Information theory3
Technology: Technology (General): Industrial engineering. Management engineering2
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication2
Medicine2
Science2
Science: Biology (General)1
Science: Chemistry: General. Including alchemy1
Technology: Electrical engineering. Electronics. Nuclear engineering1
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases1
Science: Mathematics: Instruments and machines1
Technology: Technology (General): Industrial engineering. Management engineering: Information technology1
Technology: Mechanical engineering and machinery: Control engineering systems. Automatic machinery (General)1
Social Sciences: Economic theory. Demography1
Social Sciences: Statistics1
Geography. Anthropology. Recreation: Environmental sciences1
Social Sciences1
Technology: Chemical technology: Biotechnology1
The category Science: Mathematics 131 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Foundations of nabla fractional calculus on time scales and inequalities and was published in 2010. The most recent citation comes from a 2024 study titled Fractional Lindley distribution generated by time scale theory, with application to discrete-time lifetime data. This article reached its peak citation in 2022, with 35 citations. It has been cited in 85 different journals, 25% of which are open access. Among related journals, the Mathematics cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year