Titlebook: Unified Theory for Fractional and Entire Differential Operators; An Approach via Diff Arnaud Rougirel Book 2024 The Editor(s) (if applicabl

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Differential Triplets on Hilbert Spaces,boundary conditions, construct higher-order differential operators (as the Laplace operator), study the properties of these operators (invertibility, closedness), and consider their adjoint operator. Also various differential equations may be investigated.

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1660-8046 nd fractional differential operators.Establishes the theory .This monograph proposes a unified theory of the calculus of fractional and standard derivatives by means of an abstract operator-theoretic approach. By highlighting the axiomatic properties shared by standard derivatives, Riemann-Liouville

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Introduction,ons, there are also analog results for usual evolutionary partial differential equations and for the corresponding time-fractional equations. In addition, the solvability methods may be similar for equations with a first-order time derivative and for the corresponding fractional equations involving a Riemann–Liouville derivative.

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Background on Functional Analysis,r . of . is denoted by .. However, in some situations, this image is designated by . or by .. For the basic maps on ., the image of . is . or .. These maps, which we will call ., are denoted by . and . (i.e. the dot symbol). Let . be equal to . or ..

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