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.
Collaboration network of the authors
17 authors ·
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· 25 across different organisations
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Hashemite University
Irbid National University
Universiti Utara Malaysia
Yarmouk University
Sulaimani Polytechnic University
Princess Sumaya University for Technology
Al-Balqa Applied University
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