Abstract.

The goal of this research work is to examine a coupled system of delay fractional differential equations (DFDEs) related to nonlocal boundary value problems (BVPs). The aforementioned delay problem is concerned with fractional differential equations (PFDEs) of nonlinear pantographs. We examine adequate requirements for the existence and uniqueness of solutions to the considered problem using classical fixed point results. Additionally, the text is improved by including certain stability results of the Ulam-Hyers (UH) kind. Ultimately, our generated results are supported by relevant examples.

Keywords:

pantograph fractional differential equations, qualitative analysis, UH stability theory, compled system.