On Nonlinear Fractional Neutral Differential Equation with the ψ-Caputo Fractional Derivative

Abstract

: In this article, the solvability of fractional neutral differential equation involving ψ − Caputo fractional operator is considered using a Krasnoselskii’s fixed point approach. Also, we establish the uniqueness of the solution under certain conditions. Ulam stabilities for the proposed problem are discussed. Finally, examples are displayed to aid the applica-bility of the theory results.