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
相关论文
共 50 条
  • [1] Right Quantum Calculus on Finite Intervals with Respect to Another Function and Quantum Hermite-Hadamard Inequalities
    Cuntavepanit, Asawathep
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    AXIOMS, 2024, 13 (07)
  • [2] Study of Quantum Difference Coupled Impulsive System with Respect to Another Function
    Kamsrisuk, Nattapong
    Kamthorncharoen, Chaiyod
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    SYMMETRY-BASEL, 2024, 16 (07):
  • [3] On the Generalized (p,q)-φ-Calculus with Respect to Another Function
    Etemad, Sina
    Stamova, Ivanka
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    MATHEMATICS, 2024, 12 (20)
  • [4] ON FRACTIONAL INTEGRALS AND DERIVATIVES OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION
    Nieto, Juan J.
    Alghanmi, Madeaha
    Ahmad, Bashir
    Alsaedi, Ahmed
    Alharbi, Boshra
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (04)
  • [5] Nonlinear Piecewise Caputo Fractional Pantograph System with Respect to Another Function
    Abdo, Mohammed S. S.
    Shammakh, Wafa
    Alzumi, Hadeel Z. Z.
    Alghamd, Najla
    Albalwi, M. Daher
    FRACTAL AND FRACTIONAL, 2023, 7 (02)
  • [6] Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order
    Benia, Kheireddine
    Souid, Mohammed Said
    Jarad, Fahd
    Alqudah, Manar A.
    Abdeljawad, Thabet
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [7] On Pantograph Problems Involving Weighted Caputo Fractional Operators with Respect to Another Function
    Ali, Saeed M. M.
    FRACTAL AND FRACTIONAL, 2023, 7 (07)
  • [8] Differential equations with variable order generalized proportional Caputo fractional with respect to another function: existence and stability
    Hristova, Snezhana
    IFAC PAPERSONLINE, 2024, 58 (12): : 291 - 295
  • [9] Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order
    Kheireddine Benia
    Mohammed Said Souid
    Fahd Jarad
    Manar A. Alqudah
    Thabet Abdeljawad
    Journal of Inequalities and Applications, 2023
  • [10] Investigation of Caputo proportional fractional integro-differential equation with mixed nonlocal conditions with respect to another function
    Khaminsou, Bounmy
    Sudsutad, Weerawat
    Kongson, Jutarat
    Nontasawatsri, Somsiri
    Vajrapatkul, Adirek
    Thaiprayoon, Chatthai
    AIMS MATHEMATICS, 2022, 7 (06): : 9549 - 9576
12345