Fuzzy differential equation

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.