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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 19 Sayı: 1

The New Analysis for the Caputo-Fabrizio Fractional Gas Dynamics Model with the Robust Technique

Caputo-Fabrizio Kesirli Gaz Dinamiği Modeli için Güçlü Yöntemle Yeni Sayısal Analiz

Aslı Alkan(FIRAT ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ, MATEMATİK (DR))0000-0002-1036-7178
Pages
76–91
Publication Date
2026-03-30
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AI Summary & Key Takeaways

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

The derived solutions facilitated a physical understanding of the gas dynamics equation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The Caputo-Fabrizio fractional gas dynamics equation is analyzed using the robust method.
📊
Key Findings & Data:Numerical solution of this equation are represented in 2D and 3D graphs using Maple software.
💡
Conclusion & Impact:The derived solutions facilitated a physical understanding of the gas dynamics equation.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Caputo-Fabrizio kesirli türevi · gaz dinamik denklemi · Elzaki dönüşümü

Abstract

The Caputo-Fabrizio fractional gas dynamics equation is analyzed using the robust method. Numerical solution of this equation are represented in 2D and 3D graphs using Maple software. Table 1 demonstrates the effectiveness and consistency of the proposed method. The ℏ-curves of the obtained solutions are plotted. The derived solutions facilitated a physical understanding of the gas dynamics equation.

Özet

Caputo-Fabrizio kesirli mertebeden gaz dinamiği denklemi, güçlü yöntem kullanılarak analiz edilmiştir. Bu denklemin sayısal çözümü Maple yazılımı kullanılarak 2D ve 3D grafiklerle gösterilmiştir. Tablo 1 önerilen yöntemin etkinliğini ve tutarlılığını göstermektedir. Elde edilen çözümlerin ℏ eğrileri çizilmiştir. Türetilen çözümler gaz dinamiği denkleminin fiziksel olarak anlaşılmasını kolaylaştırmıştır.

🔖

Cite This Article

Alkan, A. (2026). The New Analysis for the Caputo-Fabrizio Fractional Gas Dynamics Model with the Robust Technique. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 19 Sayı: 1, 76–91. https://doi.org/10.18185/erzifbed.1598163

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