On a new set-valued stochastic integral with respect to semimartingales and its applications

[1]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[2]  E. Renshaw,et al.  STOCHASTIC DIFFERENTIAL EQUATIONS , 1974 .

[3]  F. Hiai,et al.  Integrals, conditional expectations, and martingales of multivalued functions , 1977 .

[4]  C. Castaing,et al.  Convex analysis and measurable multifunctions , 1977 .

[5]  B. Øksendal.  Stochastic differential equations : an introduction with applications , 1987 .

[6]  Equations differentielles stochastiques multivoques unidimensionnelles , 1987 .

[7]  P. Protter.  Stochastic integration and differential equations : a new approach , 1990 .

[8]  Jia-An Yan,et al.  Semimartingale Theory and Stochastic Calculus , 1992 .

[9]  M. Kisielewicz.  Properties of solution set of stochastic inclusions , 1993 .

[10]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .

[11]  E. Cépa,et al.  Équations différentielles stochastiques multivoques , 1994 .

[12]  N. Ahmed.  Nonlinear stochastic differential inclusions on balance space , 1994 .

[13]  J. Motyl.  On the Solution of Stochastic Differential Inclusion , 1995 .

[14]  Jean-Pierre Aubin,et al.  The viability theorem for stochastic differential inclusions 2 , 1998 .

[15]  X. Mao,et al.  Stochastic Differential Equations and Applications , 1998 .

[16]  Jean-Pierre Aubin,et al.  Stochastic Invariance for Differential Inclusions , 2000 .

[17]  Pagavathigounder Balasubramaniam,et al.  Controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space , 2006 .

[18]  Skorohod problem and multivalued stochastic evolution equations in Banach spaces , 2007 .

[19]  M. Kisielewicz.  Stochastic differential inclusions and diffusion processes , 2007 .

[20]  Marek T. Malinowski,et al.  On random fuzzy differential equations , 2009, Fuzzy Sets Syst..

[21]  Stochastic representation of partial differential inclusions , 2009 .

[22]  M. T. Malinowski.  Existence theorems for solutions to random fuzzy differential equations , 2010 .

[23]  Marek T. Malinowski,et al.  FUZZY STOCHASTIC INTEGRAL EQUATIONS , 2010 .

[24]  Mariusz Michta,et al.  On set-valued stochastic integrals and fuzzy stochastic equations , 2011, Fuzzy Sets Syst..

[25]  Marek T. Malinowski,et al.  Stochastic fuzzy differential equations with an application , 2011, Kybernetika.

[26]  Michael Koller.  An Introduction to Stochastic Integration , 2011 .

[27]  M. T. Malinowski.  Random fuzzy differential equations under generalized Lipschitz condition , 2012 .

[28]  M. T. Malinowski,et al.  Set-valued stochastic integral equations driven by martingales , 2012 .

[29]  Marek T. Malinowski,et al.  Strong solutions to stochastic fuzzy differential equations of Itô type , 2012, Math. Comput. Model..

[30]  Some properties of set-valued stochastic integrals , 2012 .

[31]  Marek T. Malinowski,et al.  Itô type stochastic fuzzy differential equations with delay , 2012, Syst. Control. Lett..

[32]  Marek T. Malinowski.  On Equations with a Fuzzy Stochastic Integral with Respect to Semimartingales , 2012, SMPS.

[33]  Marek T. Malinowski,et al.  Some properties of strong solutions to stochastic fuzzy differential equations , 2013, Inf. Sci..

[34]  Marek T. Malinowski,et al.  Approximation schemes for fuzzy stochastic integral equations , 2013, Appl. Math. Comput..

[35]  M. T. Malinowski,et al.  Set-valued and fuzzy stochastic differential equations driven by semimartingales , 2013 .