Fuzzy Sets and Systems - Fuzzy Numbers
On the fuzzy initial value problem
Fuzzy Sets and Systems - Fuzzy Numbers
Fuzzy Sets and Systems
Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
Fuzzy Sets and Systems
Fuzzy initial value problem for Nth-order linear differential equations
Fuzzy Sets and Systems
Towards the theory of fuzzy differential equations
Fuzzy Sets and Systems
First order linear fuzzy differential equations under generalized differentiability
Information Sciences: an International Journal
Numerical solution of hybrid fuzzy differential equation IVPs by a characterization theorem
Information Sciences: an International Journal
Comparation between some approaches to solve fuzzy differential equations
Fuzzy Sets and Systems
On random fuzzy differential equations
Fuzzy Sets and Systems
Towards fuzzy differential calculus part 3: Differentiation
Fuzzy Sets and Systems
A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
Fuzzy Sets and Systems
Generalized derivative and π-derivative for set-valued functions
Information Sciences: an International Journal
Variation of constant formula for first order fuzzy differential equations
Fuzzy Sets and Systems
On Peano theorem for fuzzy differential equations
Fuzzy Sets and Systems
Stability and periodicity in fuzzy differential equations
IEEE Transactions on Fuzzy Systems
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The generalization of the concept of H-differentiability can be of great help in the dynamic study of fuzzy differential equations. In this paper, the concept of generalized differentiability is described from a new perspective. On the basis of this concept, the class of differentiable fuzzy set-valued mappings is enlarged. The Cauchy problem for fuzzy differential equations is investigated in this enlarged setting. As a result, some new solutions are obtained. The lengths of the support sets of these solutions may be non-monotonic. Several examples are also shown.