Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations

Aslı Alkan

doi:10.31801/cfsuasmas.1597798

Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations

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.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical Analysis

Journal Section

Research Article

Authors

Aslı Alkan ^*
0000-0002-1036-7178
Türkiye

Publication Date

March 29, 2026

Submission Date

December 7, 2024

Acceptance Date

July 17, 2025

Published in Issue

Year 2026 Volume: 75 Number: 1

DOI

https://doi.org/10.31801/cfsuasmas.1597798

IZ

https://izlik.org/JA46WX86XY

Cite

RIS / Bibtex

APA

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, 75(1), 127-145. https://doi.org/10.31801/cfsuasmas.1597798

AMA

1.Alkan A. Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75(1):127-145. doi:10.31801/cfsuasmas.1597798

Chicago

Alkan, Aslı. 2026. “Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 (1): 127-45. https://doi.org/10.31801/cfsuasmas.1597798.

EndNote

Alkan A (March 1, 2026) Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 1 127–145.

IEEE

[1]A. Alkan, “Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 75, no. 1, pp. 127–145, Mar. 2026, doi: 10.31801/cfsuasmas.1597798.

ISNAD

Alkan, Aslı. “Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75/1 (March 1, 2026): 127-145. https://doi.org/10.31801/cfsuasmas.1597798.

JAMA

1.Alkan A. Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75:127–145.

MLA

Alkan, Aslı. “Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 75, no. 1, Mar. 2026, pp. 127-45, doi:10.31801/cfsuasmas.1597798.

Vancouver

1.Aslı Alkan. Optimal Homotopy Analysis Method for Solving Fractional Klein-Gordon Equations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026 Mar. 1;75(1):127-45. doi:10.31801/cfsuasmas.1597798