Abstract:Analytic resolving families of operators for equations with discretely distributed fractional derivative We study the unique solvability of linear equations in Banach spaces with a discretely distributed Gerasimov -Caputo fractional derivative in terms of analytic resolving families of operators. Necessary and sufficient conditions for the existence of such a family of operators are obtained in terms of the resolvent of a closed operator from the right side of the equation, and their properties are studied. Th… Show more
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