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Article


Title

A Computational Algorithm for the Numerical Solution of Nonlinear Fractional Integral Equations

Authors

[ 1 ] Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ 2 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ SzD ] doctoral school student | [ P ] employee

Scientific discipline (Law 2.0)

[2.6] Civil engineering and transport

Year of publication

2022

Published in

Fractals

Journal year: 2022 | Journal volume: vol. 30 | Journal number: no. 1

Article type

scientific article

Publication language

english

Keywords
EN
  • NFIEs
  • Uniqueness and Existence
  • HWCT
  • CPs
Abstract

EN In this paper, we develop a numerical method for the solution of nonlinear fractional integral equations (NFIEs) based on Haar wavelet collocation technique (HWCT). Under certain conditions, we also prove the uniqueness and existence as well as Hyers–Ulam (HU) stability of the solution. With the help of the mentioned technique, the considered problem is transformed to a system of algebraic equations which is then solved for the required results by using Broyden algorithm. To check the validation and convergence of the proposed technique, some examples are given. For different number of collocation points (CPs), maximum absolute and mean square root errors are computed. The results show that for solving these equations, the HWCT is effective. The convergence rate is also measured for different CPs, which is nearly equal to 2.

Date of online publication

28.12.2021

Pages (from - to)

2240030-1 - 2240030-8

DOI

10.1142/S0218348X22400308

URL

https://www.worldscientific.com/doi/10.1142/S0218348X22400308

Comments

Article Number: 2240030

License type

CC BY-NC (attribution - noncommercial)

Open Access Mode

czasopismo hybrydowe

Open Access Text Version

final published version

Date of Open Access to the publication

in press

Points of MNiSW / journal

100.0

Impact Factor

3.665 [List 2020]

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