Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it

被引：32

作者：

Rabbani, Mohsen ^{[1
]}

Das, Anupam ^{[2
]}

Hazarika, Bipan ^{[2
,3
]}

Arab, Reza ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sari Branch, Sari 19318, Iran

[2] Rajiv Gandhi Univ, Dept Math, Rono Hills, Doimukh 791112, Arunachal Prade, India

[3] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 370卷 / 370期

关键词：

Fractional integral equation; Fixed point theorem; Measure of noncompactness; Iterative algorithm; Semi-analytic method; HOMOTOPY PERTURBATION METHOD; INFINITE SYSTEM; 2; VARIABLES; SOLVABILITY; SPACES;

D O I：

10.1016/j.cam.2019.112654

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish the existence of solution for two dimensional nonlinear fractional integral equation using fixed point theorem and measure of noncompactness. Applicability of our results is shown by some examples and for validity of the proposed method we make an iterative algorithm by semi-analytic technique that finds a closed form of the solution with an acceptable accuracy. Ability of the proposed method is granted by comparison with another method found in existing literature. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：13

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