Fuzzy differential equation are general concept of ordinary differential equation in mathematics defined as differential inclusion for non-uniform upper hemicontinuity convex set with compactness in fuzzy set. for all .
First order fuzzy differential equation A first order fuzzy differential equation with real constant or variable coefficients
where is a real continuous function and is a fuzzy continuous function such that .
Linear systems of fuzzy differential equations A system of equations of the form
where are real functions and are fuzzy functions
Fuzzy partial differential equations A fuzzy differential equation with partial differential operator is for all .
Fuzzy fractional differential equation A fuzzy differential equation with fractional differential operator is
for all where is a rational number.
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