New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations

被引：5
|
作者：
Deb, Sudip [1 ]
Jafari, Hossein [2 ,3 ]
Das, Anupam [1 ]
Parvaneh, Vahid [4 ]
机构：
[1] Cotton Univ, Dept Math, Panbazar, Gauhati 781001, Assam, India
[2] Univ South Africa, Dept Math Sci, UNISA0003, Pretoria, South Africa
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 110122, Taiwan
[4] Islamic Azad Univ, Dept Math, Gilan E Egharb Branch, Gilan E Gharb, Iran
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期
关键词：
Fixed point; Measure of noncompactness (MNC); Fractional integral equation (FIE); INFINITE SYSTEM; EXISTENCE;
D O I：
10.1186/s13660-023-03003-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, Darbo's fixed point theorem is generalized and it is applied to find the existence of solution of a fractional integral equation involving an operator with iterative relations in a Banach space. Moreover, an example is provided to illustrate the results.
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收藏
页数：18
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