Revisiting generalized Caputo derivatives in the context of two-point boundary value problems with the p-Laplacian operator at resonance

Abstract

Abstract The novelty of this paper is that, based on Mawhin’s continuation theorem, we present some sufficient conditions that ensure that there is at least one solution to a particular kind of a boundary value problem with the p-Laplacian and generalized fractional Caputo derivative.

Keywords

• Two-point boundary value problem
• Generalized Caputo derivative
• p-Laplacian
• Resonance
• Coincidence degree
• Mawhin’s continuation theorem