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Journals / TWMS Journal of Applied and Engineering Mathematics / 2026 / Volume: 4 Issue: 1

ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION

Djurdjica Takaci(Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovi´ca 4, 21000 Novi Sad, Serbia)
Arpad Takaci(Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovi´ca 4, 21000 Novi Sad, Serbia)
Aleksandar Takaci(Faculty of Technology, University of Novi Sad Cara Lazara 1, 21000 Novi Sad, Serbia)
Pages
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Publication Date
2014-06-01
DOI
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AI Summary & Key Takeaways

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

The presented procedure is visualized and the graphs of the obtained approximate solutions are drawn by using the GeoGebra package.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper the exact and the approximate solutions of fuzzy fractional differential equation, in the sense of Caputo Hukuhara differentiability, with a fuzzy condition are constructed by using the fuzzy Laplace transform.
📊
Key Findings & Data:The obtained solutions are expressed in the form of the fuzzy Mittag-Leffler function.
💡
Conclusion & Impact:The presented procedure is visualized and the graphs of the obtained approximate solutions are drawn by using the GeoGebra package.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional · Fuzzy calculus · Laplace transform

Abstract

In this paper the exact and the approximate solutions of fuzzy fractional differential equation, in the sense of Caputo Hukuhara differentiability, with a fuzzy condition are constructed by using the fuzzy Laplace transform. The obtained solutions are expressed in the form of the fuzzy Mittag-Leffler function. The presented procedure is visualized and the graphs of the obtained approximate solutions are drawn by using the GeoGebra package.

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Cite This Article

Takaci, D., Takaci, A., Takaci, A. (2014). ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION. TWMS Journal of Applied and Engineering Mathematics, Volume: 4 Issue: 1. https://ajindex.com/articles/1604662

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