Ultimate Behavior of Some Fractional Stochastic Nonlinear Parabolic Systems

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Mahmoud M. El-Borai, Khairia El-Said El-Nadi

Résumé

A nonlinear fractional differential system of the form   , is studied, where  , ,   is a parabolic system and is a mapping into the n- dimensional space  which depends on the -vector , the n-vector  and on a matrix with elements that are statistically stationary processes with the property of ergodicity of the mean. The existence and asymptotic behavior as of the stochastic solutions of the initial value problem of considered system are studied.

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