Nonlinear Piecewise Caputo Fractional Pantograph System with Respect to Another Function

The existence, uniqueness, and various forms of Ulam–Hyers (UH)-type stability results for nonlocal pantograph equations are developed extended in this study within the frame novel psi-piecewise Caputo fractional derivatives, which generalize piecewise operators recently presented literature. required proven using Banach’s contraction mapping Krasnoselskii’s fixed-point theorem. Additionally, pertaining to UH obtained traditional procedures nonlinear functional analysis. light our current findings, a more general challenge system is that includes problems similar one considered. We provide pertinent example as an application support theoretical findings.