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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 4 Issue: 1

AN ALTERNATIVE TECHNIQUE FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS

Neşe Dernek
Fatih Aylıkçı
Sevil Kıvrak
Pages
—
Publication Date
2016-04-01
DOI
—
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AI Summary & Key Takeaways

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

Using obtained theorems, a few initial-value problems for ordinary di erential equations are solved as illustrations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a new method for solving ordinary di erential equations is given by using the generalized Laplace transform Ln.
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Key Findings & Data:Firstly, the authors introduce a di erential operator  that is called the -derivative.
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Conclusion & Impact:Using obtained theorems, a few initial-value problems for ordinary di erential equations are solved as illustrations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:The Laplace transform · The Ln-transform · The L􀀀1 n -transform and Linear ordinary di erential equations

Abstract

In this paper, a new method for solving ordinary di erential equations is given by using the generalized Laplace transform Ln. Firstly, the authors introduce a di erential operator  that is called the -derivative. A relation between the Ln-transform of the -derivative of a function and the Ln- transform of the function itself are derived. Then, the convolution theorem is proven. Using obtained theorems, a few initial-value problems for ordinary di erential equations are solved as illustrations.

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Cite This Article

Dernek, N., Aylıkçı, F., Kıvrak, S. (2016). AN ALTERNATIVE TECHNIQUE FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS. Konuralp Journal of Mathematics, Volume: 4 Issue: 1. https://ajindex.com/articles/1521898

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