Abstract: Based on the Jumarie type of modified Riemann-Liouville (R-L) fractional derivatives, the method used in this paper is to first transform the definition of modified R-L fractional derivatives into the form of limit, and then use fractional Fermat’s theorem and fractional Rolle’s theorem to prove our main result: fractional mean value theorem. In fact, this result is the generalization of mean value theorem for classical calculus. On the other hand, we provide some examples to illustrate the applications of fractional mean value theorem.
Keywords: Jumarie type of modified R-L fractional derivatives, form of limit, fractional Fermat’s theorem, fractional Rolle’s theorem, fractional mean value theorem.
Title: Fractional Mean Value Theorem and Its Applications
Author: Chii-Huei Yu
International Journal of Electrical and Electronics Research
ISSN 2348-6988 (online)
Research Publish Journals
