Study of Quantum Difference Coupled Impulsive System with Respect to Another Function

Author:

Kamsrisuk Nattapong1,Kamthorncharoen Chaiyod1ORCID,Ntouyas Sotiris K.2ORCID,Tariboon Jessada1ORCID

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, 451 10 Ioannina, Greece

Abstract

In this paper, we study a quantum difference coupled impulsive system with respect to another function. Some quantum derivative and integral asymmetric graphs with respect to another function are shown to illustrate the behavior of parameters. Existence and uniqueness results are established via Banach contraction mapping principle and Leray–Schauder alternative. Examples illustrating the obtained results are also included. Our results are new and significantly contribute to the literature to this new subject on quantum calculus on finite intervals with respect to another function.

Funder

King Mongkut's University of Technology North Bangkok

Publisher

MDPI AG

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4. Ernst, T. (2000). A History of q-Calculus and a New Method, Uppsala University. UUDM Report.

5. Aral, A., Gupta, V., and Agarwal, R.P. (2013). Applications of q-Calculus in Operator Theory, Springer.

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