Discovering The Relationships between Fractional Order Derivatives and Complex Numbers

Authors : Ali KARCİ, Şeyda KARCI

Pages : 42-53

View : 16 | Download : 5

Publication Date : 2020-06-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(_α^∂);Kfinsert ignore into journalissuearticles values(t); defined by Karcı.
Keywords : Fractional order derivatives