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Conformable Semigroups Via Compact Operators |
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PP: 357-365 |
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doi:10.18576/pfda/110210
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Author(s) |
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Sharifa Alsharif,
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Abstract |
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| Let Y be a Banach space and {S (s)}s≥0 be a one parameter conformable semigroup of bounded linear operators on Y. In this paper, we give an answer to the question: ”As S (s) is a bounded linear operator under what conditions a strongly continuous conformable α-semigroup is compact”. Further we show that under certain conditions the resolvent operator R(μ : A ) of the generator of {S (s)}s≥0 can be compact.
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