Journal of Jishou University(Natural Sciences Edition)

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Existence of Solutions to the Nonlocal Initial Value Problems of Fractional Differential Equations

PENG Yunmeng,ZHONG Wenyong   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2019-05-25 Published:2019-06-04


We consider a Caputo type fractional derivative with respect to another function.We use Krasnoelkii theorem and fixed points theorem to obtain the results for the existence and uniqueness of solutions to the initial value problems.

Key words: fractional differential equation, initial value problem, Krasnoelkii theorem, fixed point theorem

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