Journal
FUZZY SETS AND SYSTEMS
Volume 280, Issue -, Pages 58-90Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2015.01.009
Keywords
Fuzzy fractional differential equation; Fractional functional integral equations; Fuzzy fractional functional differential equations
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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. (C) 2015 Elsevier B.V. All rights reserved.
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