标题：Unbounded solutions to abstract boundary value problems of fractional differential equations on a half line
作者：Wang F.; Cui Y.
作者机构：[Wang, F] School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China;[ Cui, Y] Department of Applied Mathematics, Shandong Univ 更多
通讯作者地址：[Wang, F] School of Mathematics and Physics, Changzhou UniversityChina;
来源：Mathematical Methods in the Applied Sciences
关键词：Arzelà-Ascoli–type theorem; boundary value problems; fractional differential equations
摘要：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 C1 0(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 C1 0(R+,E). Finally, an example in the Banach sequence space ℓ1 is given to illustrate our results. © 2019 John Wiley & Sons, Ltd.