Electron. J. Diff. Equ., Vol. 2010(2010), No. 135, pp. 1-10.

A boundary value problem of fractional order at resonance

Nickolai Kosmatov

Abstract:
We establish solvability of a boundary value problem for a nonlinear differential equation of fractional order by means of the coincidence degree theory.

Submitted June 8, 2010. Published September 20, 2010.
Math Subject Classifications: 34A34, 34B10, 34B15.
Key Words: Caratheodory conditions; resonance; Riemann-Liouville derivative; Riemann-Liouville integral.

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Nickolai Kosmatov
Department of Mathematics and Statistics
University of Arkansas at Little Rock
Little Rock, AR 72204-1099, USA
email: nxkosmatov@ualr.edu

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