Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach

Abstract

Abstract In this paper, the coupled system of sequential ψ-Hilfer fractional boundary value problems with non-instantaneous impulses is investigated. The existence results of the system are proved by means of topological degree theory. An example is constructed to demonstrate our results. Additionally, a graphical analysis is performed to verify our results.

Keywords

• Sequential fractional differential equation
• ψ-Hilfer fractional derivative
• Topological degree theory
• Impulses
• Existence