期刊名称：International Journal of Electrical and Computer Engineering
电子版ISSN：2088-8708
出版年度：2021
卷号：11
期号：6
页码：5367-5378
DOI：10.11591/ijece.v11i6.pp5367-5378
语种：English
出版社：Institute of Advanced Engineering and Science (IAES)
摘要：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.
关键词：fifth keyword;fourth keyword;fractional calculus;riemann-liouville fractional derivative operator;weighted mean value theorem
