Advances in Difference Equations (Sep 2020)
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.
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