Complex conformable derivative
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In this study, we introduce a new complex conformable derivative and integral with noninteger order α which coincides the classical complex derivative and integral for α = 1. We examine basic properties of these newly defined derivative and integral such as Cauchy-Riemann equations, conformability and fundamental theorem of complex conformable integral. As an application of the new operators, we solve some types of complex conformable differential equations.
KeywordsComplex conformable derivative Complex conformable integral Conformability
The authors would like to thank Prof. Ali Güven for his valuable contributions on this study.
This research is supported by Balikesir University Research Grant No. Bap 2018/023.
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