
doi: 10.1155/2012/746872
We study the periodic boundary value problem for semilinear fractional differential equations in an ordered Banach space. The method of upper and lower solutions is then extended. The results on the existence of minimal and maximal mild solutions are obtained by using the characteristics of positive operators semigroup and the monotone iterative scheme. The results are illustrated by means of a fractional parabolic partial differential equations.
Nonlinear boundary value problems for ordinary differential equations, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces
Nonlinear boundary value problems for ordinary differential equations, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces
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