relation: https://khub.utp.edu.my/scholars/17134/
title: A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS
creator: Amin, R.
creator: Senu, N.
creator: Hafeez, M.B.
creator: Arshad, N.I.
creator: Ahmadian, A.L.I.
creator: Salahshour, S.
creator: Sumelka, W.
description: 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).
publisher: World Scientific
date: 2022
type: Article
type: PeerReviewed
identifier:   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     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122038583&doi=10.1142%2fS0218348X22400308&partnerID=40&md5=de80fae757e272efcd385240d7c5d077
relation: 10.1142/S0218348X22400308
identifier: 10.1142/S0218348X22400308