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Journals / Conference Proceedings of Science and Technology / 2026 / Cilt: 3 Sayı: 1

Hermite Operational Matrix for Solving Fractional Differential Equations

Hatice Yalman Koşunalp(BAYBURT ÜNİVERSİTESİ)
Mustafa Gülsu(MUĞLA SITKI KOÇMAN ÜNİVERSİTESİ, FEN FAKÜLTESİ)
Pages
87–90
Publication Date
2020-12-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

To indicate the efficiency of the proposed method, various illustrative examples are solved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper aims to solve the fractional differential equations (FDEs) with operational matrix method by Hermite polynomials in the sense of Caputo derivative.
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Key Findings & Data:For this purpose, we attempt to re-define the FDEs with a set of algebraic equations with initial conditions which simplifies the complete problem.
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Conclusion & Impact:To indicate the efficiency of the proposed method, various illustrative examples are solved.
🔬Design:Konferans Bildirisi
📍Scope:Comprehensive Sample
⚙️Variables:Caputo derivative · Fractional Integration · Hermite

Abstract

This paper aims to solve the fractional differential equations (FDEs) with operational matrix method by Hermite polynomials in the sense of Caputo derivative. For this purpose, we attempt to re-define the FDEs with a set of algebraic equations with initial conditions which simplifies the complete problem. We achieve either exact or approximated solutions by solving these algebraic equations with the proposed method. To indicate the efficiency of the proposed method, various illustrative examples are solved.

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Cite This Article

Koşunalp, H. Y., Gülsu, M. (2020). Hermite Operational Matrix for Solving Fractional Differential Equations. Conference Proceedings of Science and Technology, Cilt: 3 Sayı: 1, 87–90. https://ajindex.com/articles/1648713

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References (13)

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