Geodesic
Existence of mild solutions for fractional evolution equations with nonlocal initial conditions
Pengyu Chen1 ; Yongxiang Li1 ; Qiang Li1
1 Department of Mathematics Northwest Normal University Lanzhou 730070, People's Republic of China
Annales Polonici Mathematici, Tome 110 (2014) no. 1, pp. 13-24.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper discusses the existence of mild solutions for a class of semilinear fractional evolution equations with nonlocal initial conditions in an arbitrary Banach space. We assume that the linear part generates an equicontinuous semigroup, and the nonlinear part satisfies noncompactness measure conditions and appropriate growth conditions. An example to illustrate the applications of the abstract result is also given.
DOI : 10.4064/ap110-1-2
Keywords: paper discusses existence mild solutions class semilinear fractional evolution equations nonlocal initial conditions arbitrary banach space assume linear part generates equicontinuous semigroup nonlinear part satisfies noncompactness measure conditions appropriate growth conditions example illustrate applications abstract result given

Pengyu Chen 1 ; Yongxiang Li 1 ; Qiang Li 1

1 Department of Mathematics Northwest Normal University Lanzhou 730070, People's Republic of China 
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Pengyu Chen; Yongxiang Li; Qiang Li. Existence of mild solutions for fractional evolution equations with nonlocal initial conditions. Annales Polonici Mathematici, Tome 110 (2014) no. 1, pp. 13-24. doi : 10.4064/ap110-1-2. http://geodesic.mathdoc.fr/articles/10.4064/ap110-1-2/

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