Study of existence results for fractional functional differential equations involving Riesz-Caputo derivative

Within this work, we look into the existence results for a family of fractional functional differential equations employing the Riesz-Caputo fractional derivative in a Banach space. Fractional calculus techniques, Kuratowski’s measure of non-compactness, Carath \(\acute{e}\) $\acute{e}$ odory conditions, and some theorems on fixed points are used to establish existence results. In the end, a few examples are showcased to evince the proficiency of the offered results.