Numerical approach of riemann-liouville fractional derivative operator
| Autor: | A. K. Alomari, Ramzi B. Albadarneh, Nedal Tahat, Iqbal M. Batiha, Ahmad Adwai |
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| Rok vydání: | 2021 |
| Předmět: |
Weighted mean value theorem
General Computer Science Series (mathematics) Computation Assertion Fractional calculus Residual Nonlinear system Operator (computer programming) Applied mathematics Riemann-liouville fractional derivative operator Electrical and Electronic Engineering Value (mathematics) Mathematics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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