Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 18, Issue 1, Pages 12-21Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2012.06.008
Keywords
Fuzzy Fractional Differential Equations; Fractional Initial Value Problem; Caputo-type fuzzy fractional derivative; Fractional Euler method
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In this paper, the solution to Fuzzy Fractional Initial Value Problem [FFIVP] under Caputotype fuzzy fractional derivatives by a modified fractional Euler method is presented. The Caputo-type fuzzy fractional derivatives are defined based on Hukuhara difference and strongly generalized fuzzy differentiability. The modified fractional Euler method based on a generalized Taylor's formula and a modified trapezoidal rule is used for solving initial value problem under fuzzy fractional differential equation of order beta subset of (0, 1). Solving two examples of linear and nonlinear FFIVP illustrates the method. (c) 2012 Elsevier B.V. All rights reserved.
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