  In this paper we introduce a new multiple-parameters generalization of the
Wright function arose from an eigenvalues problem concerning an
hyper-Laguerre-type operator involving Caputo derivatives. We show that by
giving particular values at the parameters including in the function, it leads
right to well known special functions (the classical Wright function, the
$\alpha$-Mittag-Leffler function, the Tricomi function etc...). In addition, we
investigate a nonlinear fractional differential equation admitting the new
generalization Wright function as solution, and in particular isochronous
solutions.
