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arXiv · 1704.03299

A new Generalized fractional derivative and integral

Abdullah Akkurt·M. Esra Yildirim·Hüseyin Yildirim
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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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Abdullah Akkurt, M. Esra Yildirim, Hüseyin Yildirim. 2017-03-21. A new Generalized fractional derivative and integral. https://arxiv.org/abs/1704.03299

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