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All Journal International Journal of Robotics and Control Systems
Kasasbeh, Wala’a A. Al
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Control & Systems Engineering Electrical & Electronics Engineering

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Trapezoidal Scheme for the Numerical Solution of Fractional Initial Value Problems Batiha, Iqbal M.; Alsamad, Hebah F.; Jebril, Iqbal H.; Al-Khawaldeh, Hamzah O.; Kasasbeh, Wala’a A. Al; Momani, Shaher
International Journal of Robotics and Control Systems Vol 5, No 2 (2025)
Publisher : Association for Scientific Computing Electronics and Engineering (ASCEE)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31763/ijrcs.v5i2.1795

Abstract

The purpose of this study is to recall the main concepts and definitions in relation to the fractional calculus. In light of this overview, we will propose a novel fractional version of the so-called Trapezoid method named by the fractional Trapezoid method. Such a method will then be used to numerically solve the analog version of the initial value problems called fractional initial value problem FIVPs. As consequences of the proposed numerical approach, several numerical examples will be illustrated to verify the efficiency of the proposed numerical approach.
Co-Authors Al-Khawaldeh, Hamzah O. Alsamad, Hebah F. Batiha, Iqbal M. Jebril, Iqbal H. Momani, Shaher