An existence result with numerical solution of nonlinear fractional integral equations

被引：6
|
作者：
Kazemi, Manochehr [1 ]
Deep, Amar [2 ,4 ]
Nieto, Juan [3 ]
机构：
[1] Islamic Azad Univ, Dept Math, Ashtian Branch, Ashtian, Iran
[2] IIMT Engn Coll, Dept Appl Sci, Meerut, Uttar Pradesh, India
[3] Univ Santiago Compostela, Dept Stat Math Anal & Optimizat, CITMAga, Santiago De Compostela, Spain
[4] IIMT Engn Coll, Dept Appl Sci, Meerut 250401, Uttar Pradesh, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期
关键词：
fixed point theorem; fractional integral equations; measure of noncompactness (MNC); 2ND KIND; FREDHOLM; SOLVABILITY;
D O I：
10.1002/mma.9128
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By utilizing the technique of Petryshyn's fixed point theorem in Banach algebra, we examine the existence of solutions for fractional integral equations, which include as special cases of many fractional integral equations that arise in various branches of mathematical analysis and their applications. Also, the numerical iterative method is employed successfully to find the solutions to fractional integral equations. Lastly, we recall some different cases and examples to verify the applicability of our study.
引用
收藏
页码：10384 / 10399
页数：16
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