On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equations

نویسندگان

  • Jin Liang
  • Sheng-Hua Yan
  • Fang Li
  • Ting-Wen Huang
چکیده

* Correspondence: jinliang@sjtu. edu.cn Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China Full list of author information is available at the end of the article Abstract We are concerned with the existence of mild solutions to the Cauchy problem for fractional evolution equations of neutral type with almost sectorial operators dq dtq (x(t) − h(t, x(t))) = −A(x(t) − h(t, x(t))) + f (t, x(t)), t > 0,

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تاریخ انتشار 2012