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.
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页数：11
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