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Journals / Gazi University Journal of Science Part A: Engineering and Innovation / 2026 / Volume: 11 Issue: 1

Falling Body Motion in Time Scale Calculus

Neslihan Nesliye Pelen(ONDOKUZ MAYIS UNIVERSITY)0000-0003-1853-3959
Zeynep Kayar(VAN YÜZÜNCÜ YIL ÜNİVERSİTESİ)0000-0002-8309-7930
Pages
—
Publication Date
2024-03-28
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, we also test our mathematical results with numerical simulations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The falling body problem for different time scales, such as ℝ, ℤ, hℤ, qℕ0, ℙc,d is the subject of this study.
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Key Findings & Data:To deal with this problem, we use time-scale calculus.
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Conclusion & Impact:Moreover, we also test our mathematical results with numerical simulations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Time Scale Calculus · Falling Body Motion · Delta Derivative

Abstract

The falling body problem for different time scales, such as ℝ, ℤ, hℤ, qℕ0, ℙc,d is the subject of this study. To deal with this problem, we use time-scale calculus. Time scale dynamic equations are used to define the falling body problem. The exponential time scale function is used for the solutions of these problems. The solutions of the falling body problem in each of these time scales are found. Moreover, we also test our mathematical results with numerical simulations.

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Cite This Article

Pelen, N. N., Kayar, Z. (2024). Falling Body Motion in Time Scale Calculus. Gazi University Journal of Science Part A: Engineering and Innovation, Volume: 11 Issue: 1. https://doi.org/10.54287/gujsa.1427944

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