A new Generalized fractional derivative and integral
Abdullah Akkurt, M. Esra Yıldırım, Hüseyin Yıldırım
Abstract
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Abdullah Akkurt, M. Esra Yıldırım, Hüseyin Yıldırım
Abstract
Open-access reader
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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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.
Key concepts: Fractional calculus, Derivative (finance), Mathematics, Applied mathematics, Economics, Financial economics