Geodesic
Fractional differential equations with fractional non-separated boundary conditions
Electronic Journal of Differential Equations, Tome 2013 (2013).

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Summary: We study boundary-value problems of nonlinear fractional differential equations with fractional non-separated (integral) boundary conditions. Existence and uniqueness results are obtained by using fixed point theorems and examples are given to illustrate the results.
Classification : 34A08, 34B15, 34B10
Keywords: fractional differential equation, non-separated boundary condition, integral boundary condition, existence of solutions 
@article{EJDE_2013__2013__a116,
     author = {Liu, Xiaoyou and Liu, Yiliang},
     title = {Fractional differential equations with fractional non-separated boundary conditions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a116/}
}
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Liu, Xiaoyou; Liu, Yiliang. Fractional differential equations with fractional non-separated boundary conditions. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a116/