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Zbl 0829.46018
Delbosco, Domenico
Fractional calculus and function spaces. (English)
[J] J. Fractional Calc. 6, 45-53 (1994). ISSN 0918-5402

Summary: Using classical fractional calculus we introduce two classes of function spaces, which result to be Banach spaces. In particular we prove a compactness theorem of immersion between them and we show an application to a class of nonlinear fractional differential equations.

MSC 2000:: *46E35 Sobolev spaces and generalizations
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional primitive; fractional derivative; fractional calculus; compactness theorem; immersion; nonlinear fractional differential equations

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