On Nonlinear Implicit Neutral Generalized Hilfer Fractional Differential Equations with Terminal Conditions and Delay

Abstract

In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative. The Banach contraction principle and Krasnoselskii’s fixed point theorem are used to support the arguments. An illustration is provided to demonstrate the relevance of our results.

Keywords

• hilfer-katugampola fractional derivative
• implicit neutral fractional differential equations
• existence
• uniqueness
• fixed point
• 26a33
• 34a08
• 34k37