Some New Existence and Stability Results for Nonlocal Generalized Hilfer Fractional Volterra-Fredholm System

Abstract

This study focuses on the Hadamard-Hilfer Volterra-Fredholm
system with non-local conditions. The existence of solutions
is demonstrated by applying Krasnoselskii’s fixed point theorem (FPT). When the Banach contraction mapping concept is applied, the solutions are distinct and well-defined
under the correct conditions. The stability of solutions is
also examined using the Ulam-Hyers (U-H) and Ulam-HyersRassias (U-H-R) stability concepts.