Title of article :
Itô type stochastic fuzzy differential equations with delay
Author/Authors :
Malinowski، نويسنده , , Marek T.، نويسنده ,
Issue Information :
ماهنامه با شماره پیاپی سال 2012
Pages :
10
From page :
692
To page :
701
Abstract :
In the paper we give some foundations for the studies of stochastic fuzzy delayed differential equations. We prove the existence and uniqueness of solutions to such the equations. To obtain our result we assume that the coefficients of the equation satisfy the Lipschitz condition together with linear growth condition. We estimate the distance between approximate solution and exact solution. Also the stability of solution with respect to the initial history is shown. An application of stochastic fuzzy delayed differential equations in the modeling of population growth is indicated.
Keywords :
Stochastic fuzzy functional differential equation , Fuzzy stochastic Lebesgue–Aumann integral , Fuzzy random variable , Fuzzy stochastic process , Fuzziness and randomness in modeling , Stochastic fuzzy differential equation , Fuzzy stochastic Itô integral , Stochastic fuzzy differential equation with delay
Journal title :
Systems and Control Letters
Serial Year :
2012
Journal title :
Systems and Control Letters
Record number :
1676231
Link To Document :
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