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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 75 Issue: 1

Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations

Aslı Alkan(FIRAT ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ, MATEMATİK (DR))0000-0002-1036-7178
Sayfa
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Yayın Tarihi
2026-03-29
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Based on the solutions derived from the requisite equations, it has been demonstrated that this method is applicable to fractional partial differential equations.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the study, the new numerical solutions of fractional Klein-Gordon equations are obtained by utilizing the optimal homotopy analysis method.
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Temel Bulgular & Veri:We determine the residual error function for the selection of arbitrary parameter $\hbar$.
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Sonuç & Katkı:Based on the solutions derived from the requisite equations, it has been demonstrated that this method is applicable to fractional partial differential equations.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Optimal homotopy analysis method · Klein-Gordon equation · Caputo fractional derivative

Abstract

In the study, the new numerical solutions of fractional Klein-Gordon equations are obtained by utilizing the optimal homotopy analysis method. We determine the residual error function for the selection of arbitrary parameter $\hbar$. The serial solutions of fractional Klein-Gordon equations have been obtained satisfactorily by applying this technique. Based on the solutions derived from the requisite equations, it has been demonstrated that this method is applicable to fractional partial differential equations.

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Bu Makaleye Atıf Yap

Alkan, A. (2026). Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 75 Issue: 1. https://doi.org/10.31801/cfsuasmas.1597798

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