Geodesic
Nonlocal fractional semilinear differential equations in separable Banach spaces
Electronic journal of differential equations, Tome 2013 (2013)
In this article, we study the existence of mild solutions for fractional semilinear differential equations with nonlocal conditions in separable Banach spaces. The result is obtained by using the Hausdorff measure of noncompactness and the Schauder fixed point theorem.
Classification : 26A33
Keywords: fractional differential equation, nonlocal conditions, Hausdorff measure of noncompactness, mild solution 
@article{EJDE_2013__2013__a114,
     author = {Li,  Kexue and Peng,  Jigen and Gao,  Jinghuai},
     title = {Nonlocal fractional semilinear differential equations in separable {Banach} spaces},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1292.26024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a114/}
}
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AU  - Peng,  Jigen
AU  - Gao,  Jinghuai
TI  - Nonlocal fractional semilinear differential equations in separable Banach spaces
JO  - Electronic journal of differential equations
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VL  - 2013
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%A Peng,  Jigen
%A Gao,  Jinghuai
%T Nonlocal fractional semilinear differential equations in separable Banach spaces
%J Electronic journal of differential equations
%D 2013
%V 2013
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%G en
%F EJDE_2013__2013__a114
Li,  Kexue; Peng,  Jigen; Gao,  Jinghuai. Nonlocal fractional semilinear differential equations in separable Banach spaces. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a114/