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Basic theory of fractional differential equations. (English) Zbl 1161.34001
This short paper addresses two interesting problems: establishing the comparison principle for fractional differential equations (FDEs), establishing the global existence theorem of FDEs. Here, the fractional derivative is in the sense of Riemann-Louville. Local existence results are also included but they are not new.

MSC:
34A12Initial value problems for ODE, existence, uniqueness, etc. of solutions
34A99General theory of ODE
26A33Fractional derivatives and integrals (real functions)
34C11Qualitative theory of solutions of ODE: growth, boundedness
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References:
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