Electron. J. Diff. Equ.,
Vol. 2013 (2013), No. 152, pp. 119.
Nonexistence of solutions for twopoint fractional and thirdorder
boundaryvalue problems
George L. Karakostas
Abstract:
In this article, we provide sufficient conditions for the
nonexistence of solutions of the boundaryvalue problems with fractional
derivative of order
in the RiemannLiouville sense
and in the Caputo sense
and for the thirdorder differential equation
associated with three among the following six conditions
Thus, fourteen boundaryvalue problems at resonance and six
boundaryvalue problems at nonresonanse 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; twopoint boundaryvalue problem;
fractional boundary condition; nonexistence of solutions.
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George L. Karakostas
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
email: gkarako@uoi.gr

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