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Complex conformable derivative

  • Sümeyra UçarEmail author
  • Nihal Yılmaz Özgür
  • Beyza Billur İskender Eroğlu
ICCESEN 2017
  • 84 Downloads
Part of the following topical collections:
  1. Geo-Resources-Earth-Environmental Sciences

Abstract

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.

Keywords

Complex conformable derivative Complex conformable integral Conformability 

Notes

Acknowledgements

The authors would like to thank Prof. Ali Güven for his valuable contributions on this study.

Funding information

This research is supported by Balikesir University Research Grant No. Bap 2018/023.

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Copyright information

© Saudi Society for Geosciences 2019

Authors and Affiliations

  • Sümeyra Uçar
    • 1
    Email author
  • Nihal Yılmaz Özgür
    • 1
  • Beyza Billur İskender Eroğlu
    • 1
  1. 1.Department of MathematicsBalıkesir UniversityBalıkesirTurkey

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