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Journals / Konuralp Journal of Mathematics / 2017 / Volume: 5 Issue: 2

A NEW GENERALIZED FRACTIONAL DERIVATIVE AND INTEGRAL

Abdullah Akkurt0000-0001-5644-1276
Merve Esra Yıldırım
Hüseyin Yıldırım
Pages
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Publication Date
2017-10-15
DOI
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AI Summary & Key Takeaways

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

We give some examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel.
📊
Key Findings & Data:By using these definitions, we obtain the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem.
💡
Conclusion & Impact:We give some examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional Calculus · Fractional derivative · Conformable Fractional Integral

Abstract

In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem. We give some examples.

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Cite This Article

Akkurt, A., Yıldırım, M. E., Yıldırım, H. (2017). A NEW GENERALIZED FRACTIONAL DERIVATIVE AND INTEGRAL. Konuralp Journal of Mathematics, Volume: 5 Issue: 2. https://ajindex.com/articles/1521836

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