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, Carathe '\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\acute{e}$$\end{document}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.