@article{Alsaedi2022, 
author = {Ahmed Alsaedi and Bashir Ahmad and Afrah Assolami and Sotiris K. Ntouyas},
title = {On a nonlinear coupled system of differential equations involving Hilfer fractional derivative and Riemann-Liouville mixed operators with nonlocal integro-multi-point boundary conditions},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {12718-12741},
keywords = {Hilfer fractional differential equations, Riemann-Liouville mixed integral operators, nonlocal boundary conditions, fixed point theorems},
url = {https://www.sciopen.com/article/10.3934/math.2022704},
doi = {10.3934/math.2022704},
abstract = {We study a coupled system of multi-term Hilfer fractional differential equations of different orders involving non-integral and autonomous type Riemann-Liouville mixed integral nonlinearities supplemented with nonlocal coupled multi-point and Riemann-Liouville integral boundary conditions. The uniqueness result for the given problem is based on the contraction mapping principle, while the existence results are derived with the aid of Krasnosel'ski       {\rm{\mathord{\buildrel{\lower3pt\hbox{  \scriptscriptstyle\smile       }} \over i} }}  's fixed point theorem and Leray-Schauder nonlinear alternative. Examples illustrating the main results are presented.}
}