Solvability of (P, Q)-functional integral equations of fractional order using generalized Darbo's fixed point theorem

被引：0

作者：

Das, Anupam ^{[1
]}

Hazarika, Bipan ^{[2
]}

Mursaleen, Mohammad ^{[3
,4
]}

Nashine, Hemant Kumar ^{[5
,6
]}

Parvaneh, Vahid ^{[7
]}

机构：

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

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

[3] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

[5] VIT Bhopal Univ, Sch Adv Sci & Languages, Math Div, Bhopal Indore Highway, Sehore 466114, Madhya Pradesh, India

[6] Univ Johannesburg, Dept Math & Appl Math, Kingsway Campus,Auckland Pk, ZA-2006 Johannesburg, South Africa

[7] Islamic Azad Univ, Dept Math, Gilan Egharb Branch, Gilan, Iran

来源：

FILOMAT | 2023年 / 37卷 / 23期

关键词：

Measure of noncompactness; Hausdorff measure of noncompactness; Integral equations; Darbo's fixed point theorem; SYSTEMS;

D O I：

10.2298/FIL2323849D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish a generalized version of Darbo's fixed point theorem via some newly defined condensing operators and we define a new fractional integral using (P, Q)-calculus and study its properties. Finally, we apply this generalized Darbo's fixed point theorem to check the existence of a solution of (P, Q)-functional integral equations of fractional order in a Banach space. We explain the results with the help of simple examples.

引用

页码：7849 / 7865

页数：17

共 17 条

[1] CERTAIN FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES [J].