@article{Kamsrisuk2024, 
author = {Nattapong Kamsrisuk and Donny Passary and Sotiris K. Ntouyas and Jessada Tariboon},
title = {Quantum calculus with respect to another function},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {10446-10461},
keywords = {existence, uniqueness, fixed point theorem, boundary value problem, quantum calculus, Hermite-Hadamard inequality, quantum derivative, quantum integral},
url = {https://www.sciopen.com/article/10.3934/math.2024510},
doi = {10.3934/math.2024510},
abstract = {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.}
}