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Dergiler / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 12 Sayı: 2

Approximate Solutions of the Time-Fractional Kadomtsev-Petviashvili Equation with Conformable Derivative

Zaman-Kesirli Kadomtsev- Petviashvili Denkleminin Conformable Türev ile Yaklaşık Çözümleri

HÜLYA Durur(ardahan üniversitesi mühendislik fakültesi)0000-0002-9297-6873
MEHMET Şenol(NEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİ)0000-0001-8110-7739
Ali Kurt(HATAY MUSTAFA KEMAL ÜNİVERSİTESİ)0000-0002-0617-6037
Orkun Taşbozan(HATAY MUSTAFA KEMAL ÜNİVERSİTESİ)0000-0001-5003-6341
Sayfa
796–806
Yayın Tarihi
2019-08-31
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results reveal that the present method is accurate, dependable, simple to apply and a good alternative for seeking solutions of nonlinear fractional partial differential equations.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, residual power series method, namely RPSM, is applied to solve time-fractional Kadomtsev-Petviashvili (K-P) differential equation.
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Temel Bulgular & Veri:In the solution procedure, the fractional derivatives are explained in the conformable sense.
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Sonuç & Katkı:The results reveal that the present method is accurate, dependable, simple to apply and a good alternative for seeking solutions of nonlinear fractional partial differential equations.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Kesirli kısmi diferansiyel denklemler · Kesirli Kadomtsev-Petviashvili denklemi · conformable kesirli türev

Özet

In this study, residual power series method, namely RPSM, is applied to solve time-fractional Kadomtsev-Petviashvili (K-P) differential equation. In the solution procedure, the fractional derivatives are explained in the conformable sense. The model is solved approximately and the obtained results are compared with exact solutions obtained by the sub-equation method. The results reveal that the present method is accurate, dependable, simple to apply and a good alternative for seeking solutions of nonlinear fractional partial differential equations.

Abstract

Bu çalışmada, zaman-kesirli Kadomtsev-Petviashvili (K-P) diferansiyel denklemini çözmek için Rezidual Kuvvet Serisi Metodu (RPSM) kullanılmıştır. Çözüm prosedüründe, kesirli türevler, conformable kesirli türev tanımına göre hesaplanmıştır. Bu model yaklaşık olarak çözülmüş ve elde edilen sonuçlar, sub-equation metodu ile elde edilen tam çözümlerle karşılaştırılmıştır. Sonuçlar, mevcut yöntemin doğru, güvenilir, uygulanmasının basit olduğunu ve doğrusal olmayan kısmi diferansiyel denklemlerin çözümü için iyi bir alternatif olduğunu ortaya koymaktadır.

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Bu Makaleye Atıf Yap

Durur, H., Şenol, M., Kurt, A., Taşbozan, O. (2019). Approximate Solutions of the Time-Fractional Kadomtsev-Petviashvili Equation with Conformable Derivative. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 12 Sayı: 2, 796–806. https://doi.org/10.18185/erzifbed.488471

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