On solution of generalized proportional fractional integral via a new fixed point theorem

被引：9

作者：

Das, Anupam ^{[1
]}

Suwan, Iyad ^{[2
]}

Deuri, Bhuban Chandra ^{[3
]}

Abdeljawad, Thabet ^{[4
,5
,6
]}

机构：

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

[2] Arab Amer Univ, Dept Math & Stat, POB 240, Zababdeh 13, Jenin, Palestine

[3] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India

[4] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[6] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Measure of noncompactness (MNC); Fixed point theorem; Generalized proportional fractional integral; DIFFERENTIAL-EQUATIONS; INFINITE SYSTEM; NONCOMPACTNESS; SOLVABILITY;

D O I：

10.1186/s13662-021-03589-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is the solvability of generalized proportional fractional(GPF) integral equation at Banach space E. Herein, we have established a new fixed point theorem which is then applied to the GPF integral equation in order to establish the existence of solution on the Banach space. At last, we have illustrated a genuine example that verified our theorem and gave a strong support to prove it.

引用

页数：12

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