JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (6): 41-47.doi: 10.6040/j.issn.1671-9352.0.2019.757

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Existence of solutions to initial value problems of fractional differential equations of variable-order

AN Jia-hui, CHEN Peng-yu*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2020-06-01

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Abstract: By using Schauder fixed point theorem, this paper obtains the existence of solution for the following initial value problem of fractional differential equations of variable-order{Dq(t)0+ x(t)=f(t,x), 00)=0,where 01, 0, Dq(t)0+ is the fractional derivative of Riemann-Liouvile of variable-order q(t).

Key words: derivative and integral of variable order, initial value problem, Schauder fixed point theorem, completely continuous operator

CLC Number: 

  • O175.8
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