JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (4): 85-90.doi: 10.6040/j.issn.1671-9352.0.2021.325

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Uniqueness of solutions for initial value problems of implicit fractional order fuzzy differential equations

XI Yan-li, CHEN Peng-yu*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2022-03-29

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Abstract: By using the principle of power compression mapping, this paper obtains the uniqueness of solution to the initial value problems of implicit fractional fuzzy differential equations{CDα,pa+u(t)=f(t,u(t), CDα,pa+u(t)),u(a)=u0,where 00,1), p>0 is a fixed real number, and CDα,pa+ is the fuzzy Caputo-Katugampola fractional generalized Hukuhara derivative, f:［a,b］×E×E→E is a fuzzy function. E is the fuzzy space.

Key words: Caputo-Katugampola fractional derivative, initial value problem, power compression mapping principle, fractional fuzzy differential equations

CLC Number: 

  • O175.14
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