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Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative. (English) Zbl 1202.26017
Summary: We shall discuss the properties of the well-known Mittag-Leffler function, and consider the existence and uniqueness of the solution of the periodic boundary value problem for a fractional differential equation involving a Riemann-Liouville fractional derivative by using the monotone iterative method.

26A33Fractional derivatives and integrals (real functions)
34A08Fractional differential equations
34B15Nonlinear boundary value problems for ODE
34B99Boundary value problems for ODE
Full Text: DOI
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