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Initial value problem for fuzzy differential equations under dissipative conditions
Authors:Vasile Lupulescu
Affiliation:“Constantin Brancusi” University, Republicii 1, 210152 Targu-Jiu, Romania
Abstract:A new concept of inner product on the fuzzy space (En,D) is introduced, studied and used to prove several theorems stating the existence, uniqueness and boundedness of solutions of fuzzy differential equations. A stability result is also proved in the same context.
Keywords:Fuzzy differential equation   Existence and uniqueness theorem   Dissipative conditions   Inner product   Stability result   Stability criteria
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