On Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method

Author:

CONA Lale1,ŞENGÜL Kadir2ORCID

Affiliation:

1. Gümüşhane Üniversitesi Mühendislik Fakültesi Matematik Bölümü

2. GÜMÜŞHANE ÜNİVERSİTESİ

Abstract

In this study, the solution of the second type of homogeneous nonlinear Fredholm integral equations is investigated using a three-step iteration algorithm. In other words, it has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.

Publisher

Ikonion Journal of Mathematics

Reference25 articles.

1. Agarwal, R. P., O Regan, D., Sahu, D. R. (2007) Iterative construction of fixed points of nearly asymptotically nonexpansive mappings. Journal of Nonlinear and convex Analysis, 8(1): 61-79.

2. Akbulut, A. (2007) Application of fixed point theorems to Cauchy problem and integral equations. M.Sc. thesis, Gazi University, Ankara, Turkey.

3. Atalan, Y. (2017) Solutions of some differential and integral equations with fixed point approach. Ph.D. thesis, Yıldız Technical University, İstanbul, Turkey.

4. Atalan, Y., Gürsoy, F., Khan, A.R. (2021) Convergence of S-iterative method to a solution of Fredholm integral equation and data dependency. Facta Universitiy, 4(36): 685-694.

5. Atalan, Y. (2019) Examination of the solution of a class of functional-integral equation under iterative approach. Journal of the Institute of Science and Technology, 9(3): 1622-1632.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3