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Existence and uniqueness of holomorphic solutions for fractional Cauchy problem. (English) Zbl 1214.30027

Summary: By employing majorant functions, the existence and uniqueness of holomorphic solutions to nonlinear fractional partial differential equations (Cauchy problems) are introduced. Furthermore, the analytic continuation of the solutions is studied.

MSC:

30E99 Miscellaneous topics of analysis in the complex plane
26A33 Fractional derivatives and integrals
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