Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations

Abstract

Existence, attractivity, and stability of solutions of a non-linear fractional differential equation of Riemann-Liouville type are proved using the classical Schauder fixed point theorem and a fixed point result due to Dhage. The results are illustrated with examples.

Keywords

• fractional differential equation
• asymptotic characterization of solution
• fixed point principle
• existence and stability theorem