Abstract

A fractal function does not have the derivatives in Newton sense, however, it still represents some kind of motion and then certainly it has velocity (rate of change). How to construct "fractal calculus" in order to describe the velocity of a fractal function is a challenging and important problem. In this paper, we suggest a principle for establishing new calculus, and according to this principle, as well as by the research results of harmonic analysis and fractal analysis over local elds, we construct "fractal calculus on local elds". Finally, some applications of the fractal calculus are shown.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.