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DOI: 10.23952/jnfa.2017.1
Received July 20, 2016; Accepted October 10, 2016
Abstract. Let ,
. For
, we use the theory of
-positive operators to show the existence of and then compare smallest eigenvalues of the fractional boundary value problems
,
,
, satisfying boundary conditions
,
,
,
, where p and q are nonnegative continuous functions on
which do not vanish identically on any nondegenerate compact subinterval of
. The cases where
and
are treated separately and then compared.
How to Cite this Article:
Angela M. Koester, Jeffrey T. Neugebauer, Smallest eigenvalues for fractional boundary value problems with a fractional boundary condition, Journal Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 1, pp. 1-16.