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Fuzzy fractional functional integral and differential equations

Authors: 

Ngo Van Hoa

Source title: 
Fuzzy Sets and Systems, 280: 58-90, 2015 (ISI)
Academic year of acceptance: 
2016-2017
Abstract: 

This paper is devoted to considering the existence and uniqueness results for fuzzy fractional functional integral equations employing the contraction principle. Moreover, the approach is followed to prove the existence and uniqueness of solutions for the fuzzy fractional functional initial value problem under Caputo-type fuzzy fractional derivatives. Finally, the solution to fuzzy fractional functional initial value problem under Caputo-type fuzzy fractional derivatives by a modified fractional Euler method (MFEM) is presented. The method is illustrated by solving some examples.