Solvability of Caputo fractional integral boundary value problem at resonance in R n ${\mathbb{R}^{n}}$

Abstract

Abstract In this paper, we utilize the continuation theorem due to Mawhin to investigate the solvability for a class of Caputo fractional system integral boundary value problems at resonance. To broaden the applicability of the main results, we employ the Moore–Penrose pseudoinverse matrix to construct projectors.

Keywords

• Caputo fractional derivative
• Continuation theorem
• Moore–Penrose pseudoinverse matrix
• At resonance