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Unbounded solutions to abstract boundary value problems of fractional differential equations on a half line
Author(s) -
Wang Fuli,
Cui Yujun
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5819
Subject(s) - mathematics , banach space , hausdorff measure , mathematical analysis , boundary value problem , compact space , hausdorff space , c0 semigroup , sequence (biology) , space (punctuation) , measure (data warehouse) , real line , pure mathematics , hausdorff dimension , database , biology , computer science , genetics , linguistics , philosophy
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 spaceC 0 1 ( 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 inC 0 1 ( R + , E ) . Finally, an example in the Banach sequence space ℓ 1 is given to illustrate our results.