Numerical approach of riemann-liouville fractional derivative operator

<p>This article introduces some new straightforward and yet powerful formulas in the form of series solutions together with their residual errors for approximating Riemann-Liouville fractional derivative operator. These are derived by utilizing forthright computations, so-called weighted mean value theorem (WMVT). Undoubtedly, such will be extremely useful establishing approaches several both linear nonlinear fractionalorder differential equations. This assertion is confirmed addressing problems that illustrate effectiveness practicability gained findings.</p>