Quantum calculus with respect to another function

被引：3
|
作者：
Kamsrisuk, Nattapong [1 ]
Passary, Donny [1 ]
Ntouyas, Sotiris K. [2 ]
Tariboon, Jessada [1 ]
机构：
[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Bangkok 10800, Thailand
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 04期
关键词：
quantum calculus; quantum derivative; quantum integral; Hermite-Hadamard inequality; boundary value problem; existence; uniqueness; fixed point theorem; FRACTIONAL Q-INTEGRALS; EXISTENCE;
D O I：
10.3934/math.2024510
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we studied the generalizations of quantum calculus on finite intervals. We presented the new definitions of the quantum derivative and quantum integral of a function with respect to another function and studied their basic properties. We gave an application of these newly defined quantum calculi by obtaining a new Hermite -Hadamard inequality for a convex function. Moreover, an impulsive boundary value problem involving quantum derivative, with respect to another function, was studied via the Banach contraction mapping principle.
引用
收藏
页码：10446 / 10461
页数：16
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