A new glance on the Leibniz rule for fractional derivatives.

This paper proposes a new strategy to study some useful properties of growth rates of functions in C α ∈ R spaces in order to analyze the Leibniz rule for fractional derivatives. The differential operators are taken in the Riemann–Liouville sense. Moreover, stability analysis of the proposed strategy is investigated. The results demonstrate that the proposed theoretical analysis is accurate. [ABSTRACT FROM AUTHOR]