- Gazi University Journal of Science Part A: Engineering and Innovation
- Cilt: 11 Sayı: 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 : 17 | Download : 36
Publication Date : 2024-03-28
Article Type : Research
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