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Numerical approach of riemann-liouville fractional derivative operator

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2021Publisher:Institute of Advanced Engineering and ScienceJournal:International Journal of Electrical and Computer Engineering (IJECE), volume 11, page 5,367 (issn: 2088-8708, eissn: 2722-2578,

Authors: Ramzi B. Albadarneh; Iqbal M. Batiha; Ahmad Adwai; Nedal Tahat; A.K. Alomari;

doi: 10.11591/ijece.v11i6.pp5367-5378

Numerical approach of riemann-liouville fractional derivative operator

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Abstract

<p>This article introduces some new straightforward and yet powerful formulas in the form of 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). Undoubtedly, such formulas will be extremely useful in establishing new approaches for several solutions of both linear and nonlinear fractionalorder differential equations. This assertion is confirmed by addressing several linear and nonlinear problems that illustrate the effectiveness and the practicability of the gained findings.</p>

Related Organizations

Hashemite University
Jordan
Irbid National University
Jordan
Ajman University of Science and Technology
United Arab Emirates
Yarmouk University
Jordan

Keywords

Weighted mean value theorem, Fractional calculus, Riemann-liouville fractional derivative operator

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