@article{Passary2024, 
author = {Donny Passary and Sotiris K. Ntouyas and Jessada Tariboon},
title = {Hilfer fractional quantum system with Riemann-Liouville fractional derivatives and integrals in boundary conditions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {218-239},
keywords = {quantum calculus, Hilfer derivative, systems, existence and uniqueness},
url = {https://www.sciopen.com/article/10.3934/math.2024013},
doi = {10.3934/math.2024013},
abstract = {In this paper, we initiate the study of existence and uniqueness of solutions for a coupled system involving Hilfer fractional quantum derivatives with nonlocal boundary value conditions containing    q-Riemann-Liouville fractional derivatives and integrals. Our results are supported by some well-known fixed-point theories, including the Banach contraction mapping principle, Leray-Schauder alternative and the Krasnosel'skiǐ fixed-point theorem. Examples of these systems are also given in the end.}
}