Basic theory of initial value problems of conformable fractional differential equations

@inproceedings{Zhong2018BasicTO,
  title={Basic theory of initial value problems of conformable fractional differential equations},
  author={Wenyong Zhong and Lanfang Wang},
  year={2018}
}
*Correspondence: wyzhong@jsu.edu.cn 1College of Mathematics and Statistics, Jishou University, Hunan, China Abstract In this paper, we discuss the basic theory of the conformable fractional differential equation Ta αx(t) = f (t, x(t)), t ∈ [a,∞), subject to the local initial condition x(a) = xa or the nonlocal initial condition x(a) + g(x) = xa, where 0 < α < 1, Ta αx(t) denotes the conformable fractional derivative of a function x(t) of order α, f : [a,∞)×R →R is continuous and g is a given… CONTINUE READING

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