A NEW GENERALIZED FRACTIONAL DERIVATIVE AND INTEGRAL

Yıl 2017, Cilt: 5 Sayı: 2, 248 - 259, 15.10.2017

Abdullah Akkurt , Merve Esra Yıldırım Hüseyin Yıldırım

Öz

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.

Anahtar Kelimeler

Fractional Calculus, Fractional derivative, Conformable Fractional Integral

Kaynakça

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