Solutions to a class of nonlinear differential equations of fractional order

N. Kosmatov, Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, USA

E. J. Qualitative Theory of Diff. Equ., No. 20. (2009), pp. 1-10.

Abstract: In this paper we investigate the formulation of a class of boundary value problems of fractional order with the Riemann-Liouville fractional derivative and integral-type boundary conditions. The existence of solutions is established by applying a fixed point theorem of Krasnosel'skii and Zabreiko for asymptotically linear mappings.

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