On Nonlocal Boundary Caputo Tempered Fractional Coupled Systems in Banach Spaces

Abstract

We employ M & ouml;nch's fixed point theorem along with the technique of measure of non-compactness to establish the existence of solutions for a coupled system of tempered fractional differential equations with nonlocal boundary conditions. Additionally, we investigate the Ulam stability of the system as a qualitative aspect of our analysis. Finally, an illustrative example is provided to demonstrate that our approach meets the specific requirements set forth in the paper.