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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Volume: 70 Issue: 2

Fractional variational problems on conformable calculus

Süleyman Öğrekçi(AMASYA UNIVERSITY)0000-0003-1205-6848
Serkan Aslıyüce(AMASYA UNIVERSITY)0000-0003-1729-3914
Pages
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Publication Date
2021-12-31
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AI Summary & Key Takeaways

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

Then, we studied on the variational problems with integral constraints and holonomic constraints, respectively.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we deal with the variational problems defined by an integral that include fractional conformable derivative.
📊
Key Findings & Data:We obtained the optimality results for variational problems with fixed end-point boundary conditions and variable end-point boundary conditions.
💡
Conclusion & Impact:Then, we studied on the variational problems with integral constraints and holonomic constraints, respectively.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Conformable fractional derivative · calculus of variations · subsidiary conditions

Abstract

In this paper, we deal with the variational problems defined by an integral that include fractional conformable derivative. We obtained the optimality results for variational problems with fixed end-point boundary conditions and variable end-point boundary conditions. Then, we studied on the variational problems with integral constraints and holonomic constraints, respectively.

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Cite This Article

Öğrekçi, S., Aslıyüce, S. (2021). Fractional variational problems on conformable calculus. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 2. https://doi.org/10.31801/cfsuasmas.820580

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