Dergiler / Journal of Universal Mathematics / 2026 / Cilt: 7 Sayı: 2

PLANE KINEMATICS IN LORENTZIAN HOMOTHETIC MULTIPLICATIVE CALCULUS

Hasan Es(GAZİ ÜNİVERSİTESİ, GAZİ EĞİTİM FAKÜLTESİ)0000-0002-7732-8173
Sayfa
64–74
Yayın Tarihi
2024-07-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition, new theorems and results are given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, Lorentzian plane homothetic multiplicative calculus kinematics is discussed.
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Temel Bulgular & Veri:Lorentzian plane homothetic multiplicative calculus movement, the pole points of a point X relative to the moving and fixed plane are discussed.
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Sonuç & Katkı:In addition, new theorems and results are given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lorentzian homothetic multiplicative one-parameter motion · Lorentzian multiplicative pole orbits · Lorentzian mulltiplicative speeds and accelerations.

Abstract

In this study, Lorentzian plane homothetic multiplicative calculus kinematics is discussed. Lorentzian plane homothetic multiplicative calculus movement, the pole points of a point X relative to the moving and fixed plane are discussed. In this motion, the velocities and accelerations of a point X are obtained. In this motion, the relations between the velocities and accelerations of a point X are obtained. In addition, new theorems and results are given.

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Bu Makaleye Atıf Yap

Es, H. (2024). PLANE KINEMATICS IN LORENTZIAN HOMOTHETIC MULTIPLICATIVE CALCULUS. Journal of Universal Mathematics, Cilt: 7 Sayı: 2, 64–74. https://doi.org/10.33773/jum.1411844

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Kaynakça (29)

  1. V. Volterra, B. Hostinsky, Operations Innitesimales Lineares. Herman, Paris (1938).
  2. D. Aniszewska, Multiplicative Runge-Kutta Methods. Nonlinear Dynamics Vol.50, pp.262-272 (2007).
  3. W. Kasprzak, B. Lysik, M. Rybaczuk, Dimensions, Invariants Models and Fractals, Ukrainian Society on Fracture Mechanics, Spolom, Wroclaw-Lviv, Poland (2004).
  4. M. Rybaczuk, A. Kedzia, W. Zielinski, The concepts of physical and fractional dimensions 2. The differential calculus in dimensional spaces, Chaos Solitons Fractals Vol.12, pp.2537-2552 (2001).
  5. M. Grossman, R. Katz, Non-Newtonian Calculus, Lee Press, Piegon Cove, Massachusetts (1972).
  6. D. Stanley, A multiplicative calculus, Primus IX, Vol.4, pp.310-326 (1999).
  7. A. E. Bashirov, E. M. Kurpınar, A. Ozyapici, Multiplicative Calculus and its applications, J. Math. Anal. Appl. Vol.337, pp.36-48 (2008).
  8. S. Aslan, M. Bekar, Y. Yaylı, Geometric 3-space and multiplicative quaternions, International Journal 1 of Geometric Methods in Modern Physics, Vol.20, No.9 (2023).
  9. S. Nurkan, K., I. Gürgil, M. K., Karacan, Vector properties of geometric calculus, Math. Meth. Appl. Sci., pp.1-20 (2023).
  10. H. Es, On The 1-Parameter Motions With Multiplicative Calculus, Journal of Science and Arts, Vol.2, No.59 (2022).
  11. A. E. Bashirov, M. Rıza, On Complex multiplicative differentiation, TWMS J. App. Eng. Math. Vol.1, No.1, pp.75-85 (2011).
  12. A. E. Bashirov, E. Mısırlı, Y. Tandoğdu, A. Ozyapıcı, On modeling with multiplicative differential equations, Appl. Math. J. Chinese Univ. Vol.26, No.4, pp.425-438 (2011).
  13. K. Boruah and B. Hazarika, Application of Geometric Calculus in Numerical Analysis and Difference Sequence Spaces, arXiv:1603.09479v1 (2016).
  14. K. Boruah and B. Hazarika, Some basic properties of G-Calculus and its applications in numerical analysis, arXiv:1607.07749v1(2016).
  15. A. F. Çakmak, F. Başar, On Classical sequence spaces and non-Newtonian calculus, J. Inequal. Appl. 2012, Art. ID 932734, 12 pages (2012).
  16. E. Misirli and Y. Gurefe, Multiplicative Adams BashfortMoulton methods, Numer Algor, Vol.57, pp.425-439(2011).
  17. A. F. Çakmak, F. Başar, Some sequence spaces and matrix transformations in multiplicative sense, TWMS J. Pure Appl. Math. Vol.6, No.1, pp.27-37 (2015).
  18. D. Campbell, Multiplicative Calculus and Student Projects, Vol.9, No.4, pp.327-333 (1999)
  19. M. Coco, Multiplicative Calculus, Lynchburg College, Vol.9, No.4, pp.327-333 (2009).
  20. M. Grossman, Bigeometric Calculus: A System with a scale-Free Derivative, Archimedes Foundation, Massachusetts (1983).
  21. M. Grossman, An Introduction to non-Newtonian calculus, Int. J. Math. Educ. Sci. Technol., Vol.10, No.4, pp.525-528 (1979).
  22. J. Grossman, M. Grossman, R. Katz, The First Systems of Weighted Differential and Integral Calculus, University of Michigan (1981).
  23. J. Grossman, Meta-Calculus: Differential and Integral, University of Michigan (1981).
  24. Y. Gurefe, Multiplicative Differential Equations and Its Applications, Ph.D. in Department of Mathematics (2013).
  25. W. F. Samuelson, S.G. Mark, Managerial Economics, Seventh Edition (2012).
  26. S. Tekin, F. Başar, Certain Sequence spaces over the non-Newtonian complexeld, Abstr. Appl. Anal. Article ID 739319, 11 pages (2013).
  27. C. Türkmen and F. Başar, Some Basic Results on the sets of Sequences with Geometric Calculus, Commun. Fac. Fci. Univ. Ank. Series A1., Vol.61, No.2, pp.17-34 (2012).
  28. A. Uzer, Multiplicative type Complex Calculus as an alternative to the classical calculus, Comput. Math. Appl. Vol.60, pp.2725-2737 (2010).
  29. K. Boruah and B. Hazarika, G-Calculus, TWMS J. App. Eng. Math., Vol.8, No.1, pp.94-105 (2018)