Approximation of fixed point and its application to fractional differential equation

被引：0

作者：

Sabiya Khatoon

Izhar Uddin

Dumitru Baleanu

机构：

[1] Jamia Millia Islamia,Department of Mathematics

[2] Cankaya University,Department of Mathematics and Computer Sciences

来源：

Journal of Applied Mathematics and Computing | 2021年 / 66卷

关键词：

Generalized ; -Reich–Suzuki non-expansive mappings; Nonlinear fractional differential equation; Fixed point; 47H10; 54H25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this study, we prove some convergence results for generalized α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-Reich–Suzuki non-expansive mappings via a fast iterative scheme. We validate our result by constructing a numerical example. Also, we compare our results with the other well known iterative schemes. Finally, we calculate the approximate solution of nonlinear fractional differential equation.

引用

页码：507 / 525

页数：18

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