EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH THREE-POINT BOUNDARY CONDITIONS AT RESONANCE WITH GENERAL CONDITIONS.

This paper presents a new technique to investigate the existence of solutions to fractional three-point boundary value problems at resonance in a Hilbert space. Based on the proposed method, the restricted conditions A²ξ^1α-2 = Aξ^α-1 and A²ξ^2α-2 = I on the operator A, which have been used in [18], are removed. It is shown that the system under consideration admits at least one solution by applying coincidence degree theory. Finally, an illustrative example is presented. [ABSTRACT FROM AUTHOR]