  This paper is dedicated to investigating the existence of solutions to the
initial value problem (IVP) for a coupled system of $\Psi$-Hilfer hybrid
fractional differential equations (FDEs) and boundary value problem (BVP) for a
coupled system of $\Psi$-Hilfer hybrid FDEs. Analysis of the current paper
depends on the two fixed point theorems involving three operators characterized
on Banach algebra. In the view of an application, we provided concrete examples
to exhibit the effectiveness of our achieved results.
