Unbounded solutions to abstract boundary value problems of fractional differential equations on a half line.

In this paper, we investigate the existence of solutions to abstract boundary value problems of fractional differential equations on R+. The choice of the Banach space C01(R+,E) allows the solutions to be unbounded. Our approach mainly depends on the technique of Hausdorff measure of noncompactness in conjunction with the criterion of compactness in C01(R+,E). Finally, an example in the Banach sequence space ℓ1 is given to illustrate our results. [ABSTRACT FROM AUTHOR]