**7. Conclusions**

In this study, we proposed a novel fractional-order circuit elements-based wireless power transmission solution, aiming to reduce the resonant frequency and improving the output power quality and efficiency. Detailed mathematical modeling of the proposed FO-WPT has been presented. Simulation studies of a typical example FO-WPDRS validated the theoretical analysis, and shown reduced frequency, improved efficiency and enhanced output power. An experimental prototype has been developed to validate the proposed method, and the results are corresponding with the analyses. This work could lay a solid foundation for further investigations in fractional-order elements-based WPT solutions, which may lead to wide industrial applications in wireless power transfer.

**Author Contributions:** Conceptualization, G.Z. and Z.O.; methodology, G.Z. and Z.O.; software, Z.O.; validation, G.Z. and Z.O.; formal analysis, L.Q.; investigation, Z.O.; writing—original draft preparation, Z.O.; writing—review and editing, G.Z.; supervision, G.Z.; project administration, L.Q.; funding acquisition, L.Q.

**Funding:** This research was funded by [National Natural Science Foundation of China] gran<sup>t</sup> numbers [51907032, U1501251, 51277030, 61733015], [Natural Science Foundation of Guangdong Province] gran<sup>t</sup> numbers [2017A030310243, 2018A030313365] and [Science and Technology Planning Project of Guangzhou] gran<sup>t</sup> number [201804010310].

**Conflicts of Interest:** The authors declare no conflict of interest.
