Application of Measure of Noncompactness On Integral Equations Involving Generalized Proportional Fractional and Caputo-Fabrizio Fractional Integrals

被引：3

作者：

Das, Anupam ^{[1
]}

Hazarika, Bipan ^{[2
]}

Parvanah, Vahid ^{[3
]}

Mahato, Nihar Kumar ^{[4
]}

机构：

[1] Cotton Univ, Dept Math, Gauhati 781001, Assam, India

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

[3] Islamic Azad Univ, Dept Math, Gilan E Gharb Branch, Gilan, Iran

[4] Indian Inst Informat Technol Design & Mfg Jabalpur, Discipline Nat Sci, Jabalpur, India

来源：

FILOMAT | 2022年 / 36卷 / 17期

关键词：

Functional integral equations; Measure of non-compactness; Fixed point theorem; DIFFERENTIAL-EQUATIONS; DERIVATIVES; EXISTENCE;

D O I：

10.2298/FIL2217885D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using Petryshyn's fixed point theorem, we show the existence of solution to fractional inte-gral equations, including generalized proportional and Caputo-Fabrizio fractional integrals. We also use appropriate examples to support our findings.

引用

页码：5885 / 5893

页数：9

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