Abstract
In this paper we shall survey some of the connections between operators of fractional integration and semigroups of operators. For simplicity we shall restrict attention to operators related to the Riemann-Liouville fractional integral. On the one hand, such operators provide illustrations of the general theory of semigroups, particularly fractional power semigroups. On the other hand, it could be said that the operators have provided the stimulus for extensions of the general theory.
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© 1993 Springer Science+Business Media Dordrecht
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McBride, A.C. (1993). Fractional Integrals and Semigroups. In: Goldstein, G.R., Goldstein, J.A. (eds) Semigroups of Linear and Nonlinear Operations and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1888-0_11
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DOI: https://doi.org/10.1007/978-94-011-1888-0_11
Publisher Name: Springer, Dordrecht
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