Investigation of the solvability of n " role="presentation" style="position: relative;"> n n n - term fractional quadratic integral equation in a Banach algebra

AIMS Mathematics

article

Hind H. G. Hashem¹  Asma Al Rwaily² 

[1] Department of mathematics, Faculty of Science, Alexandria University;Department of mathematics, College of Science, Qassim University

关键词: multi-term quadratic integral equation;    existence and uniqueness results;    continuous dependency;   

DOI  :  10.3934/math.2023146

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we consider a nonlinear $ n $-term fractional quadratic integral equation. Our investigation is located in the space $ \; C(J, \; \mathbb{R}).\; $ We prove the existence and uniqueness of the solution for that problem by applying some fixed point theorems. Next, we establish the continuous dependence of the unique solution for that problem on some functions. Finally, we present some particular cases for $ n $-term fractional quadratic integral equation and an example to illustrate our results.

【 授权许可】

CC BY