Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces

被引：5

作者：

Mohiuddine, S. A. ^{[1
,2
]}

Das, Anupam ^{[3
]}

Alotaibi, Abdullah ^{[2
]}

机构：

[1] King Abdulaziz Univ, Appl Coll, Dept Gen Required Courses, Math, Jeddah 21589, Saudi Arabia

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia

[3] Cotton Univ Guwahati, Dept Math, Gauhati 781001, India

来源：

FILOMAT | 2023年 / 37卷 / 30期

关键词：

Sequence space; q-calculus; Darbo-type theorem; Banach space; Measure of noncompactness; Q-INTEGRALS; SOLVABILITY; EQUATIONS; STABILITY;

D O I：

10.2298/FIL2330171M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Studying various fixed point theorems on Banach spaces such as the Darbo's fixed point theorem, has recently proved to be quite effective while doing research on existence problems. We here use a contraction operator to demonstrate a modified Darbo-type fixed point result with the intention to study the existence of solutions of infinite system of nonlinear q-fractional boundary value problem in the Banach spaces. Towards the end, reasonable example is presented to validate our findings.

引用

页码：10171 / 10180

页数：10

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