Author(s)

Salvador A. Loria

College of Engineering & Graduate School, Nueva Ecija University of Science and Technology, Cabanatuan City, Philippines.

In this paper, the researcher explored and analyzed the function between integral indices of derivative. It is proved that getting half-derivative twice is equivalent to first derivative. Also getting the triple of one-third derivative is equal to first derivative. Similarly, getting four times of one-fourth derivative is equal to first derivative.

Fractal Index, Derivative, Gamma Function, Factorial

A. Loria, S. (2017) Derivative Process Using Fractal Indices k Equals One-Half, One-Third, and One-Fourth. Journal of Applied Mathematics and Physics, 5, 453-461. doi: 10.4236/jamp.2017.52040.