Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation

Abstract

In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.

Keywords

• nonlinear pantograph equation
• hilfer–hadamard fractional derivative
• existence
• fixed point
• successive approximation