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Approximate controllability of Hilfer fractional differential equations
Author(s) -
Lv Jingyun,
Yang Xiaoyuan
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.5862
Subject(s) - mathematics , controllability , uniqueness , contraction principle , mathematical analysis , differential equation , banach space
In this paper, the approximate controllability for a class of Hilfer fractional differential equations (FDEs) of order 1< α <2 and type 0 ≤ β ≤ 1 is considered. The existence and uniqueness of mild solutions for these equations are established by applying the Banach contraction principle. Further, we obtain a set of sufficient conditions for the approximate controllability of these equations. Finally, an example is presented to illustrate the obtained results.