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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 12 Issue: 1

On the Solutions of Some Equations in $(p,q)$-Calculus

Nihan Turan(SAKARYA ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ, MATEMATİK (DR))
Metin Basarır(SAKARYA ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0000-0002-4341-4399
Pages
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Publication Date
2024-04-30
DOI
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AI Summary & Key Takeaways

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

Finally, we obtain the solution of the Bernoulli’s equation in $(p,q)$-calculus.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the Laplace equation in $(p, q)$-calculus and give the solutions of the equation using the separation method into its variables.
📊
Key Findings & Data:We also give the $(p,q)$-calculus version of the equation of motion, which expresses the displacement of a falling field in a resistant environment.
💡
Conclusion & Impact:Finally, we obtain the solution of the Bernoulli’s equation in $(p,q)$-calculus.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Falling Field Problem · Laplace Equation · Bernoulli

Abstract

In this paper, we introduce the Laplace equation in $(p, q)$-calculus and give the solutions of the equation using the separation method into its variables. We also give the $(p,q)$-calculus version of the equation of motion, which expresses the displacement of a falling field in a resistant environment. Finally, we obtain the solution of the Bernoulli’s equation in $(p,q)$-calculus.

🔖

Cite This Article

Turan, N., Basarır, M. (2024). On the Solutions of Some Equations in $(p,q)$-Calculus. Konuralp Journal of Mathematics, Volume: 12 Issue: 1. https://ajindex.com/articles/1521500

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