Approximate controllability of Hilfer fractional differential equations | Zendy

Lv Jingyun | Zendy; Yang Xiaoyuan | Zendy

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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.

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