Work

Trapezoidal Scheme for the Numerical Solution of Fractional Initial Value Problems

Year: 2025

Type: article

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.

Source: International Journal of Robotics and Control Systems

DOI: 10.31763/ijrcs.v5i2.1795

Authors: Iqbal M. Batiha, Hebah F. Alsamad, Iqbal H. Jebril, Hamzah O. Al-Khawaldeh, Wala’a A. Al Kasasbeh, Shaher Momani

Institutions: Al-Zaytoonah University of Jordan, Ajman University, Al al-Bayt University, University of Jordan

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410375359

FWCI: 5.259

Cites:

Cited by: 7

Related to: 10