@article{Patanarapeelert2024, 
author = {Nichaphat Patanarapeelert and Jiraporn Reunsumrit and Thanin Sitthiwirattham},
title = {On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {35016-35037},
keywords = {fractional Hahn integral, Riemann-Liouville fractional Hahn difference, boundary value problems, existence, Hyers-Ulam stability},
url = {https://www.sciopen.com/article/10.3934/math.20241667},
doi = {10.3934/math.20241667},
abstract = {All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. In this study, the existence and uniqueness of solutions for a Riemann-Liouville fractional Hahn integrodifference equation with nonlocal fractional Hahn integral boundary conditions are investigated. To establish these results, we apply the Banach and Schauder fixed-point theorems. Furthermore, the Hyers-Ulam stability of solutions is studied.}
}