On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses

Abstract

This article deals with the existence, uniqueness and Ulam type stability results for a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative. The results are based on Banach contraction principle and Krasnoselskii's fixed point theorem. An illustrative example is given to validate our main results.

Keywords

• riesz-caputo fractional derivative
• existence
• measure of noncompactness
• fixed point
• ulam stability
• non-instantaneous impulses