Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2)
2020 ◽
Vol 0
(0)
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Keyword(s):
AbstractIn this paper, we establish the existence of mild solutions for nonlocal fractional semilinear differential inclusions with noninstantaneous impulses of order α ∈ (1,2) and generated by a cosine family of bounded linear operators. Moreover, we show the compactness of the solution set. We consider both the case when the values of the multivalued function are convex and nonconvex. Examples are given to illustrate the theory.
2008 ◽
Vol 108
(1)
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pp. 81-87
2008 ◽
Vol 2008
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pp. 1-9
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Keyword(s):
2003 ◽
Vol 133
(1)
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pp. 197-212
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2016 ◽
Vol 160
(3)
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pp. 413-421
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