Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance

Abstract

Abstract This investigation is devoted to the study of a certain class of coupled systems of higher-order Hilfer fractional boundary value problems at resonance. Combining the coincidence degree theory with the Lipschitz-type continuity conditions on nonlinearities, we present some existence and uniqueness criteria. Finally, to practically implement the obtained theoretical criteria, we give an illustrative application.

Keywords

• Hilfer fractional boundary value problems
• Resonance
• Coupled systems
• Coincidence degree theory
• Existence
• Uniqueness