Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives

In this paper, we study the existence and uniqueness of solutions for nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives, and p -Laplacian operator ϕp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \phi_{p}$\end{document} based on the Banach contraction principle. Also, we investigate the stability results for the proposed problem. Appropriate example is given to demonstrate the established results.