A NEW GENERALIZED FRACTIONAL DERIVATIVE AND INTEGRAL

Authors : Abdullah AKKURT, Merve Esra YILDIRIM, Hüseyin YILDIRIM

Pages : 248-259

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Publication Date : 2017-10-15

Article Type : Research Paper

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.
Keywords : Fractional Calculus, Fractional derivative, Conformable Fractional Integral