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Journals / Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi / 2026 / Cilt: 5 Sayı: 1

Numerical Solutions of Conformable Time-Fractional Swift-Hohenberg Equation with Proportional Delay by the Novel Methods

Oransal Gecikmeli Uyumlu Zaman-Kesirli Swift-Hohenberg Denkleminin Yeni Yöntemlerle Sayısal Çözümleri

Ahmet Semih Erol(KIRIKKALE ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0000-0001-6766-1004
Halil Anaç(GUMUSHANE UNIVERSITY, TORUL VOCATIONAL SCHOOL)0000-0002-1316-3947
Ali Olgun(KIRIKKALE UNIVERSITY, FACULTY OF ARTS AND SCIENCES, DEPARTMENT OF MATHEMATICS, MATHEMATICS PR.)0000-0001-5365-4110
Pages
1–24
Publication Date
2023-06-30
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AI Summary & Key Takeaways

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

The proposed methods are effective and consistent, according to numerical simulations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The conformable fractional q-Shehu homotopy analysis transform method and the conformable Shehu transform decomposition method are used to analyze the conformable time-fractional Swift-Hohenberg equations with proportional delay.
📊
Key Findings & Data:The graphs of the numerical solutions to this problem are drawn.
💡
Conclusion & Impact:The proposed methods are effective and consistent, according to numerical simulations.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Uyumlu kesirli zaman kesirli mertebeden Swift-Hohenberg denklemi · uyumlu kesirli q-Shehu homotopi analiz dönüşüm metodu · uyumlu kesirli Shehu dönüşümü ayrıştırma metodu.

Abstract

The conformable fractional q-Shehu homotopy analysis transform method and the conformable Shehu transform decomposition method are used to analyze the conformable time-fractional Swift-Hohenberg equations with proportional delay. The graphs of the numerical solutions to this problem are drawn. The proposed methods are effective and consistent, according to numerical simulations.

Özet

Uyumlu kesirli q-Shehu homotopi analizi dönüşüm yöntemi ve uyumlu Shehu dönüşümü ayrıştırma yöntemi, oransal gecikmeli uyumlu zaman-kesirli Swift-Hohenberg denklemlerini analiz etmek için kullanılmıştır. Bu problemin sayısal çözümlerinin grafikleri çizdirilmiştir. Önerilen yöntemler, sayısal simülasyonlara göre etkili ve tutarlıdır.

🔖

Cite This Article

Erol, A. S., Anaç, H., Olgun, A. (2023). Numerical Solutions of Conformable Time-Fractional Swift-Hohenberg Equation with Proportional Delay by the Novel Methods. Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi, Cilt: 5 Sayı: 1, 1–24. https://doi.org/10.55213/kmujens.1221889

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