Numerical approach of riemann-liouville fractional derivative operator

Published on Dec 1, 2021in International Journal of Electrical and Computer Engineering
· DOI :10.11591/IJECE.V11I6.PP%P
Ramzi B. Albadarneh2
Estimated H-index: 2
,
Iqbal M. Batiha4
Estimated H-index: 4
+ 2 AuthorsAb Alkareem Alomari
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Abstract
This paper introduces some new straightforward and yet power- ful formulas in the form of power series solutions together with their residual errors for approximating the Riemann-Liouville fractional derivative operator. These formulas are derived by utilizing some of forthright computations, and by utilizing the so-called Weighted Mean Value Theorem (WMVT). Undoubt- edly, such formulas will be extremely useful in establishing new approaches for several solutions of linear and nonlinear fractional-order dierential equations. This assertion is conrmed by addressing several linear and nonlinear problems that illustrate the eectiveness and the practicability of the gained ndings.
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