Title : ( Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem )
Authors: mehran mazandarani , Ali Vahidian Kamyad ,
Full TextAbstract
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 ...; . Solving two examples of linear and nonlinear FFIVP illustrates the method.
Keywords
, Fuzzy Fractional Differential Equations, Fractional Initial Value Problem, Caputo-type fuzzy fractional derivative, Fractional Euler method,
@article{paperid:1029540,
author = {Mazandarani, Mehran and Vahidian Kamyad, Ali},
title = {Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem},
journal = {Communications in Nonlinear Science and Numerical Simulation},
year = {2013},
volume = {18},
number = {1},
month = {January},
issn = {1007-5704},
pages = {12--21},
numpages = {9},
keywords = {Fuzzy Fractional Differential Equations;Fractional Initial Value Problem;Caputo-type fuzzy fractional derivative;Fractional Euler method;},
}
%0 Journal Article
%T Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem
%A Mazandarani, Mehran
%A Vahidian Kamyad, Ali
%J Communications in Nonlinear Science and Numerical Simulation
%@ 1007-5704
%D 2013
