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General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1]\) in Banach spaces - MaRDI portal

General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1]\) in Banach spaces (Q2362274)

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General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1]\) in Banach spaces
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    General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1]\) in Banach spaces (English)
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    7 July 2017
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    The paper is concerned with developing a theory of fractional sine functions that are essentially equivalent to a fractional resolvent. The authors use the fractional sine functions to study the well-posedness of the general fractional differential equation.
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    fractional resolvent
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    well-posedness
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    higher order fractional operators
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