Bounded solutions for boundary value problems for fractional differential equations on a Banach space and the half line.

In this paper, we prove the existence of solutions, for a class of boundary value problem for fractional differential equations involving the Riemann-Liouville fractional derivative on an unbounded interval in Banach spaces. Our main tool is the technique of measures of noncompactness combined with Mönch's fixed point theorem and the diagonalization process. [ABSTRACT FROM AUTHOR]