@article{Alruwaily2023, 
author = {Ymnah Alruwaily and Lamya Almaghamsi and Kulandhaivel Karthikeyan and El-sayed El-hady},
title = {Existence and uniqueness for a coupled system of fractional equations involving Riemann-Liouville and Caputo derivatives with coupled Riemann-Stieltjes integro-multipoint boundary conditions},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {10067-10094},
keywords = {coupled system of fractional differential equations, integro-multipoint boundary conditions, fixed point theorems},
url = {https://www.sciopen.com/article/10.3934/math.2023510},
doi = {10.3934/math.2023510},
abstract = {Recently, coupled systems of fractional differential equations play a central role in the modelling of many systems in e.g., financial economics, ecology, and many more. This study investigates the existence and uniqueness of solutions for a nonlinear coupled system of fractional differential equations involving Riemann-Liouville and Caputo derivatives with coupled Riemann-Stieltjes integro-multipoint boundary conditions. The main tools are known fixed point theorems, namely, Leray-Schauder alternative, Banach fixed point theorem, and the Krasnoselskii fixed point theorem. The new system, which can be considered as a generalized version of many previous fascinating systems, is where the article's novelty lies. Examples are presented to illustrate the results. In this way, we generalize several earlier results.}
}