Open AccessOn a nonlinear coupled system of differential equations involving Hilfer fractional derivative and Riemann-Liouville mixed operators with nonlocal integro-multi-point boundary conditions
Author(s) -
Ahmed Alsaedi,
Bashir Ahmad,
Afrah Assolami,
Sotiris K. Ntouyas
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022704
Subject(s) - mathematics , fixed point theorem , mathematical analysis , uniqueness , nonlinear system , type (biology) , boundary value problem , multi point , fractional calculus , contraction mapping , pure mathematics , mathematical physics , physics , ecology , quantum mechanics , biology
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.