A NUMERICAL SCHEME FOR DEALING WITH FRACTIONAL INITIAL VALUE PROBLEM

Iqbal M. Batiha; Anwar Bataihah; Abeer A. Al-Nana; Shameseddin Alshorm; Iqbal H. Jebril; Amjed Zraiqat

doi:10.24507/ijicic.19.03.763

A NUMERICAL SCHEME FOR DEALING WITH FRACTIONAL INITIAL VALUE PROBLEM

Iqbal M. Batiha
, Anwar Bataihah
, Abeer A. Al-Nana
, Shameseddin Alshorm
, Iqbal H. Jebril
, Amjed Zraiqat

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Ministry of Education
Prince Sattam Bin Abdulaziz University

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

This paper aims to present a new numerical modification for solving fractional initial value problem. The proposed modification, which is named Modified Fractional Euler Method (MFEM), attempts to further improve the Fractional Euler Method (FEM) in terms of attaining more accuracy. The error bound generated by the proposed method is analysed and estimated by demonstrating a specific theoretical result. In order to validate the efficiency of the proposed method, several numerical comparisons are performed using MATLAB routines.

Original language	English
Pages (from-to)	763-774
Number of pages	12
Journal	International Journal of Innovative Computing, Information and Control
Volume	19
Issue number	3
DOIs	https://doi.org/10.24507/ijicic.19.03.763
State	Published - Jun 2023

Keywords

Caputo fractional derivative operator
Fractional Euler method
Fractional differential equations

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10.24507/ijicic.19.03.763

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title = "A NUMERICAL SCHEME FOR DEALING WITH FRACTIONAL INITIAL VALUE PROBLEM",

abstract = "This paper aims to present a new numerical modification for solving fractional initial value problem. The proposed modification, which is named Modified Fractional Euler Method (MFEM), attempts to further improve the Fractional Euler Method (FEM) in terms of attaining more accuracy. The error bound generated by the proposed method is analysed and estimated by demonstrating a specific theoretical result. In order to validate the efficiency of the proposed method, several numerical comparisons are performed using MATLAB routines.",

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AU - Batiha, Iqbal M.

AU - Bataihah, Anwar

AU - Al-Nana, Abeer A.

AU - Alshorm, Shameseddin

AU - Jebril, Iqbal H.

AU - Zraiqat, Amjed

N1 - Publisher Copyright: © ICIC International.

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N2 - This paper aims to present a new numerical modification for solving fractional initial value problem. The proposed modification, which is named Modified Fractional Euler Method (MFEM), attempts to further improve the Fractional Euler Method (FEM) in terms of attaining more accuracy. The error bound generated by the proposed method is analysed and estimated by demonstrating a specific theoretical result. In order to validate the efficiency of the proposed method, several numerical comparisons are performed using MATLAB routines.

AB - This paper aims to present a new numerical modification for solving fractional initial value problem. The proposed modification, which is named Modified Fractional Euler Method (MFEM), attempts to further improve the Fractional Euler Method (FEM) in terms of attaining more accuracy. The error bound generated by the proposed method is analysed and estimated by demonstrating a specific theoretical result. In order to validate the efficiency of the proposed method, several numerical comparisons are performed using MATLAB routines.

KW - Caputo fractional derivative operator

KW - Fractional Euler method

KW - Fractional differential equations

UR - https://www.scopus.com/pages/publications/85158820230

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JF - International Journal of Innovative Computing, Information and Control

IS - 3

ER -

A NUMERICAL SCHEME FOR DEALING WITH FRACTIONAL INITIAL VALUE PROBLEM

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Keywords

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