Existence of solutions to fractional boundary value problems at resonance in Hilbert spaces

Abstract We study the existence of solutions to a nonlinear fractional differential equation in Hilbert spaces associated with three-point boundary conditions at resonance x ( 0 ) = θ , D α − 1 x ( 1 ) = A D α − 1 x ( η ) $$x(0) = \theta,\qquad D^{\alpha -1}x(1) = AD^{\alpha -1}x(\eta) $$ by using M...

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Bibliographic Details
Main Authors: Phan Dinh Phung, Ha Binh Minh
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-017-0836-3