On fractional resolvent operator functions
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- Chen, C. & Li, M. Semigroup Forum (2010) 80: 121. doi:10.1007/s00233-009-9184-7
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In this paper we introduce three kinds of resolvent families defined by purely algebraic equations, which extend the classical semigroup property and Cosine functional equation. We give their basic properties and analyticity criteria. Moreover, the relations between integrated resolvent families and resolvent families are discussed as well.