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Fractional Cauchy problems and applications

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  • We are devoted to fractional abstract Cauchy problems. Required conditions on spaces and operators are given guaranteeing existence and uniqueness of solutions. An inverse problem is also studied. Applications to partial differential equations are given to illustrate the abstract fractional degenerate differential problems.

    Mathematics Subject Classification: Primary: 26A33; Secondary: 34G10.


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  • [1] M. Al HoraniM. FabrizioA. Favini and H. Tanabe, Direct and inverse problems for degenerate differential equations, Ann. Univ. Ferrara Sez. VII Sci. Mat., 64 (2018), 227-241.  doi: 10.1007/s11565-018-0303-9.
    [2] E. G. Bazhlekova, Fractional evolution equations in Banach spaces, Dissertation, Eindhoven University of Technology in Eindhoven, 2001.
    [3] A. Favaron, A. Favini and H. Tanabe, Perturbation methods for inverse problems on degenerate differential equations, preprint.
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    [11] D. Guidetti, On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivative, Bruno Pini Mathematical Analysis Seminar, 9, Univ. Bologna, Bologna, 2018,147–157.
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