eprintid: 17134
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/71/34
datestamp: 2023-12-19 03:23:35
lastmod: 2023-12-19 03:23:35
status_changed: 2023-12-19 03:07:31
type: article
metadata_visibility: show
creators_name: Amin, R.
creators_name: Senu, N.
creators_name: Hafeez, M.B.
creators_name: Arshad, N.I.
creators_name: Ahmadian, A.L.I.
creators_name: Salahshour, S.
creators_name: Sumelka, W.
title: A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS
ispublished: pub
keywords: Integral equations; Nonlinear equations, Collocation points; Collocation techniques; Condition; Equation based; Fractional integral equations; Haar wavelet collocation technique; Haar-wavelets; Hyers-Ulam stability; Nonlinear fractional integral equation; Uniqueness and existence, Numerical methods
note: cited By 6
abstract: 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. © 2022 The Author(s).
date: 2022
publisher: World Scientific
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122038583&doi=10.1142%2fS0218348X22400308&partnerID=40&md5=de80fae757e272efcd385240d7c5d077
id_number: 10.1142/S0218348X22400308
full_text_status: none
publication: Fractals
volume: 30
number: 1
refereed: TRUE
issn: 0218348X
citation:   Amin, R. and Senu, N. and Hafeez, M.B. and Arshad, N.I. and Ahmadian, A.L.I. and Salahshour, S. and Sumelka, W.  (2022) A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS.  Fractals, 30 (1).   ISSN 0218348X