About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation

The main purpose of this paper is to study the existence of solutions for the following hybrid nonlinear fractional pantograph equation $$ \left\{\begin{aligned} &D_{0+}^\alpha \left[\frac{x(t)}{f(t,x(t),x(\varphi(t)))}\right]=g(t,x(t),x(\rho(t))),\,\,0measures of non-compactness. Also, we present an example illustrating our results.