George L. Karakostas
In this article, we provide sufficient conditions for the non-existence of solutions of the boundary-value problems with fractional derivative of order in the Riemann-Liouville sense
and in the Caputo sense
and for the third-order differential equation
associated with three among the following six conditions
Thus, fourteen boundary-value problems at resonance and six boundary-value problems at non-resonanse are studied. Applications of the results are, also, given.
Submitted October 3, 2012. Published June 28, 2013.
Math Subject Classifications: 34B15, 34A10, 34B27, 34B99.
Key Words: Third order differential equation; two-point boundary-value problem; fractional boundary condition; nonexistence of solutions.
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| George L. Karakostas |
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
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