Discovering The Relationships between Fractional Order Derivatives and Complex Numbers

Year 2020, Volume: 5 Issue: 1, 42 - 53, 01.06.2020

Ali Karci Şeyda Karcı

Abstract

The derivative concept was defined by Newton and Leipzig. After these scientists, there are many approaches about the order of derivative, since derivative defined by Newton and Leipzig considered as order of 1. So, imaginary axis vanishes and the result of derivation is a real number / function. However, in case of other orders of derivations, the obtained results have real and imaginary axises, since complex numbers and derivative have directions and magnitudes. This paper includes these relationships by using fractional order derivative (_α^∂)Kf(t) defined by Karcı.

Keywords

Fractional order derivatives

References

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