Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions

In this paper, we investigate the approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions. The main techniques rely on the fixed point theorem combined with the semigroup theory, fractional calculus, and multivalued analysis. An interesting example is provid...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2017-03, Vol.40 (4), p.1126-1138
Main Authors: Yang, Min, Wang, Qi‐Ru
Format: Article
Language:English
Subjects:
Approximate controllability
Calculus
Controllability
Fixed points (mathematics)
Fixed‐point
Group theory
Hilfer fractional differential inclusions
Inclusions
Mathematical analysis
Semigroup theory
Theorems
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Summary:In this paper, we investigate the approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions. The main techniques rely on the fixed point theorem combined with the semigroup theory, fractional calculus, and multivalued analysis. An interesting example is provided to illustrate the obtained results. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4040