Falling Body Motion in Time Scale Calculus

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Gazi University Journal of Science Part A: Engineering and Innovation
Volume:11 Issue:1
Falling Body Motion in Time Scale Calculus

Falling Body Motion in Time Scale Calculus

Authors : Neslihan Nesliye Pelen, Zeynep Kayar

Pages : 210-224

Doi:10.54287/gujsa.1427944

View : 150 | Download : 51

Publication Date : 2024-03-28

Article Type : Research Paper

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.
Keywords : Time Scale Calculus, Falling Body Motion, Delta Derivative, H Calculus, Q Calculus

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