Abstract:
This article discusses the fractional derivative based on the definition of Khalil et al.
By this definition it is obtained that the rules of multiplication, division and rules
of some special functions as classical derivative rules are fulfilled. This definition
also fulfills Rolle’s theorem and the mean value theorem as it is known in classical
calculus. At the end of the discussion, it is discussed how to get the solution of
fractional differential equation based on fractional derivative equation. This article
is a review of the article Khalil et al. [Journal of Computational and Applied
Mathematics, 264 (2014), 65-70]
