The solvability of interval-valued Abel integral equations on a time scale with trigonometric representation of parameterized interval analysis

被引：2

作者：

van Phut, Lai ^{[1
]}

van Hoa, Ngo ^{[2
,3
]}

机构：

[1] FPT Univ HCM, Dept Math, Saigon Hitech Pk, Ho Chi Minh City, Vietnam

[2] Van Lang Univ, Inst Computat Sci & Artificial Intelligence, Lab Appl & Ind Math, Ho Chi Minh City, Vietnam

[3] Van Lang Univ, Fac Basic Sci, Ho Chi Minh City, Vietnam

来源：

PHYSICA SCRIPTA | 2023年 / 98卷 / 08期

关键词：

q-fractional integral; Abel q-integral equations; interval-valued q-integral equations; fractional calculus on time scale; CALCULUS;

D O I：

10.1088/1402-4896/ace137

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the concept of the trigonometric representation of parameterized interval analysis is introduced to investigate a theory of the interval-valued Abel integral equation (IAIE) on a time scale. We provide suitable conditions to show that the IAIE on a time scale is solvable. Some simple examples are given to illustrate our main result.

引用

页数：11

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