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- Title
Convergence of Successive Approximations for Fuzzy Differential Equations in The Quotient Space of Fuzzy Numbers.
- Authors
Dong Qiu; Chongxia Lu; Chunlai Mu
- Abstract
In this paper, we study the fuzzy differential equations in the quotient space of fuzzy numbers. We deal with the convergence of successive approximations of the initial value problem of the fuzzy differential equations under the general uniqueness assumption of Perron type utilizing the comparison functions that is rather instructive. We also discuss the approximate solutions and the error estimates between the solutions and approximate solutions.
- Subjects
STOCHASTIC convergence; APPROXIMATION theory; NUMERICAL solutions to differential equations; FUZZY systems; UNIQUENESS (Mathematics)
- Publication
IAENG International Journal of Applied Mathematics, 2016, Vol 46, Issue 4, p512
- ISSN
1992-9978
- Publication type
Article