Analysis of Fractional Integro–Differential Equation with Robin Boundary Conditions Using Topological Degree Method

In this work, we investigate the existence results of the integro-differential equation with the Robin Boundary Condition (RBC). We establish some results to prove the existence using Topological Degree Theory (TDT). The analysis is to be explained with a suitable example. We observe that the use of fixed-point theory would require the imposition of stronger conditions. Hence, we make use of Topological Degree Theory, which requires comparatively weaker conditions. This showcases the wide range applicability of TDT in analysis of various problems.