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.


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