What question did this study set out to answer?

To enhance the accuracy and reliability of analytical and numerical solutions for conformable fractional-order differential equations using the Padé approximation technique.

August 19, 2026Journal of Innovative Science and Engineering (JISE)Open Access

Padé Approximation in Conformable Fractional-Order Differential Equations

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Authors

ÖOÖzan OzkanSelçuk University FYFatma Yeşildağ

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Implication

Computational analysis demonstrates improved accuracy of conformable fractional differential equation solutions via Padé approximation, indicating higher reliability for mathematical modeling.

Key Points

To enhance the accuracy and reliability of analytical and numerical solutions for conformable fractional-order differential equations using the Padé approximation technique.
Applied the Padé approximation method to existing series solutions of conformable fractional differential equations.
Evaluated the refined approximation technique across benchmark mathematical examples using graphical comparisons against previously published methods.
Padé-improved solutions consistently outperformed earlier benchmark solutions reported in the literature across all evaluated examples.
Graphical representations confirmed superior convergence, precision, and overall reliability of the proposed Padé approximation framework.

Cite This Study

Ozkan et al. (2026) studied this question.

synapsesocial.com/papers/6a858aaf03308d306e2d7f85 https://doi.org/10.38088/jise.1807372

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Implication

Computational analysis demonstrates improved accuracy of conformable fractional differential equation solutions via Padé approximation, indicating higher reliability for mathematical modeling.

Padé Approximation in Conformable Fractional-Order Differential Equations

Discussion

Member takes

Implication

Key Points

Cite This Study

Padé Approximation in Conformable Fractional-Order Differential Equations

Discussion

Member takes

Implication

Key Points

Cite This Study

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