Quantum calculus with respect to another function-Reference-Cited by-同舟云学术

Quantum calculus with respect to another function

Published:2024 Issue:4 Volume:9 Page:10446-10461
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Kamsrisuk Nattapong¹,Passary Donny¹,Ntouyas Sotiris K.²,Tariboon Jessada¹

Affiliation:

1. Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

2. Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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