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Zbl 1214.30027
Ibrahim, Rabha W.
Existence and uniqueness of holomorphic solutions for fractional Cauchy problem. (English)
[J] J. Math. Anal. Appl. 380, No. 1, 232-240 (2011). ISSN 0022-247X

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 2000:
*30E99 Miscellaneous topics of analysis in the complex domain
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional calculus; fractional differential operator; fractional integral operator; majorant function; fractional Cauchy problem in complex domain

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