Research Article

Padé Approximation in Conformable Fractional-Order Differential Equations

Volume: 10 Number: 2 August 17, 2026

Padé Approximation in Conformable Fractional-Order Differential Equations

Abstract

This study focuses on improving the solutions of conformable fractional differential equations available in literature by employing the Padé approximation. The enhanced results obtained through this method are demonstrated through examples and graphical representations. The Padé-improved solutions outperform those previously reported in the literature, confirming the effectiveness and reliability of the proposed approach for conformable fractional differential equations.

Keywords

References

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  2. Abdeljawad, T.(2015). On Conformable Fractional Calculus. Computational and Applied Mathematics, (279), 57-66.
  3. Akgül, A., Aliyu, A. I., Inc, M., Yusuf, A. ve Baleanu, D. (2020). Approximate solutions to the conformable Rosenau‐Hyman equation using the two‐step Adomian decomposition method with Padé approximation, Mathematical Methods in the Applied Sciences, 43 (13), 7632-7639.
  4. Aliyu, I. A., Inc, M., Yusuf, A. ve Baleanu, D., 2019, Adomian-Padé approximate solutions to the conformable nonlinear heat transfer equation, Thermal Science, 23 (Suppl. 1), 235-242.
  5. Baker, G. A., Baker Jr, G. A., Graves-Morris, P. ve Baker, S. S.(1996). Pade Approximants: Encyclopedia of Mathematics and It's Applications, Vol. 59 George A. Baker, Jr., Peter Graves-Morris, Cambridge University Press, p.
  6. Borhanifar, A. ve Valizadeh, S.(2015). Mittag-Leffler-Padé approximations for the numerical solution of space and time fractional diffusion equations, International Journal of Applied Mathematical Research, 4 (4), 466-480.
  7. Cansu-Kurt, Ü. ve Özkan, O. (2018). Exact solutions of some partial differential equations using the Modified Differential Transform Method, Iranian Journal of Science and Technology, Transactions A: Science, 42 (1), 89-96.
  8. Caputo, M. (1967). Linear models of dissipation whose Q is almost frequency independent—II, Geophysical Journal International, 13 (5), 529-539.

Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Fatma Yeşildağ
0000-0002-6548-5040
Türkiye

Publication Date

August 17, 2026

Submission Date

October 21, 2025

Acceptance Date

January 17, 2026

Published in Issue

Year 2026 Volume: 10 Number: 2

APA
Özkan, O., & Yeşildağ, F. (2026). Padé Approximation in Conformable Fractional-Order Differential Equations. Journal of Innovative Science and Engineering, 10(2), 201-207. https://doi.org/10.38088/jise.1807372
AMA
1.Özkan O, Yeşildağ F. Padé Approximation in Conformable Fractional-Order Differential Equations. JISE. 2026;10(2):201-207. doi:10.38088/jise.1807372
Chicago
Özkan, Ozan, and Fatma Yeşildağ. 2026. “Padé Approximation in Conformable Fractional-Order Differential Equations”. Journal of Innovative Science and Engineering 10 (2): 201-7. https://doi.org/10.38088/jise.1807372.
EndNote
Özkan O, Yeşildağ F (August 1, 2026) Padé Approximation in Conformable Fractional-Order Differential Equations. Journal of Innovative Science and Engineering 10 2 201–207.
IEEE
[1]O. Özkan and F. Yeşildağ, “Padé Approximation in Conformable Fractional-Order Differential Equations”, JISE, vol. 10, no. 2, pp. 201–207, Aug. 2026, doi: 10.38088/jise.1807372.
ISNAD
Özkan, Ozan - Yeşildağ, Fatma. “Padé Approximation in Conformable Fractional-Order Differential Equations”. Journal of Innovative Science and Engineering 10/2 (August 1, 2026): 201-207. https://doi.org/10.38088/jise.1807372.
JAMA
1.Özkan O, Yeşildağ F. Padé Approximation in Conformable Fractional-Order Differential Equations. JISE. 2026;10:201–207.
MLA
Özkan, Ozan, and Fatma Yeşildağ. “Padé Approximation in Conformable Fractional-Order Differential Equations”. Journal of Innovative Science and Engineering, vol. 10, no. 2, Aug. 2026, pp. 201-7, doi:10.38088/jise.1807372.
Vancouver
1.Ozan Özkan, Fatma Yeşildağ. Padé Approximation in Conformable Fractional-Order Differential Equations. JISE. 2026 Aug. 1;10(2):201-7. doi:10.38088/jise.1807372


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