TY  - JOUR
AU  - Alsaedi, Ahmed
AU  - Ahmad, Bashir
AU  - Assolami, Afrah
AU  - Ntouyas, Sotiris K.
PY  - 2022
TI  - On a nonlinear coupled system of differential equations involving Hilfer fractional derivative and Riemann-Liouville mixed operators with nonlocal integro-multi-point boundary conditions
JO  - AIMS Mathematics
SP  - 12718
EP  - 12741
VL  - 7
IS  - 7
AB  - 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.
UR  - https://doi.org/10.3934/math.2022704
DO  - 10.3934/math.2022704