Geodesic
Solutions to nonlocal fractional differential equations using a noncompact semigroup
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness assumptions to the operator semigroup. Some existence results are obtained when the nonlocal term is compact and when is Lipschitz continuous.
Classification : 26A33, 34G20
Keywords: fractional differential equations, nonlocal conditions, measure of noncompactness 
@article{EJDE_2013__2013__a192,
     author = {Ji, Shaochun and Li, Gang},
     title = {Solutions to nonlocal fractional differential equations using a noncompact semigroup},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a192/}
}
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Ji, Shaochun; Li, Gang. Solutions to nonlocal fractional differential equations using a noncompact semigroup. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a192/