@article{Theswan2023, 
author = {Sunisa Theswan and Sotiris K. Ntouyas and Jessada Tariboon},
title = {Coupled systems of    ψ-Hilfer generalized proportional fractional nonlocal mixed boundary value problems},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {22009-22036},
keywords = {coupled system, Hilfer fractional proportional derivative, nonlocal boundary conditions, multi-point boundary conditions, integral boundary conditions, fixed point theorems},
url = {https://www.sciopen.com/article/10.3934/math.20231122},
doi = {10.3934/math.20231122},
abstract = {In this paper, we investigate a coupled system of Hilfer-type nonlinear proportional fractional differential equations supplemented with mixed multi-point and integro-multi-point boundary conditions. We used standard methods from functional analysis and especially fixed point theory. Two existence results are established using the Leray-Schauder's alternative and the Krasnosel'skii's fixed point theorem, while the existence of a unique solution is achieved via the Banach's contraction mapping principle. Finally, numerical examples are constructed to illustrate the main theoretical results. Our results are novel, wider in scope, produce a variety of new results as special cases and contribute to the existing literature on nonlocal systems of nonlinear    ψ-Hilfer generalized fractional proportional differential equations.}
}