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Wei, Zhongli; Dong, Wei; Che, Junling

Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative. (English) Zbl 1202.26017

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3232-3238 (2010).
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.

Cited in 76 Documents

MSC:

26A33 Fractional derivatives and integrals
34A08 Fractional ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34B99 Boundary value problems for ordinary differential equations

Keywords:

periodic boundary value problem; fractional differential equation; Riemann-Liouville fractional derivatives; upper solution and lower solution
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\textit{Z. Wei} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3232--3238 (2010; Zbl 1202.26017)
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