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.
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收藏
页数：12
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