Stochastic maximal system of fuzzy stochastic delay differential equations with continuous coefficients

Falah Sarhan

doi:10.5269/bspm.76665

Falah Sarhan Kufa university

Resumo

This work aims to propose a new formulation of forward-backward fuzzy stochastic differential equations by taking the delay coefficients as continuous and imposing appropriate conditions to ensure the stability of the solution, with a discussion of the existence and uniqueness of the solution to this model of equations, as well as the achievement of the maximum solution.

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Referências

F. Antonelli, Backward-forward stochastic differential equations, The Annals of Applied Probability 3 (1993), no. 3, 777–793.

E. Buckwar, Introduction to the numerical analysis of stochastic delay differential equations, Journal of Computational and Applied Mathematics 125 (2000), no. 1–2, 297–307.

P. Luo, O. Menoukeu-Pamen, and L. Tangpi, Strong solutions of forward–backward stochastic differential equations with measurable coefficients, Stochastic Processes and their Applications 144 (2022), 1–22.

J. Ma, J. Shen, and Y. Zhao, On numerical approximations of forward-backward stochastic differential equations, SIAM Journal on Numerical Analysis 46 (2008), no. 5, 2636–2661.

M. T. Malinowski, Strong solutions to stochastic fuzzy differential equations of itˆo type, Mathematical and Computer Modelling 55 (2012), no. 3–4, 918–928.

M. T. Malinowski and M. Michta, Stochastic fuzzy differential equations with an application, Kybernetika 47 (2011), no. 1, 123–143.

X. Mao and S. Sabanis, Numerical solutions of stochastic differential delay equations under local lipschitz condition, Journal of Computational and Applied Mathematics 151 (2003), no. 1, 215–227.

B. Øksendal and A. Sulem, Maximum principles for optimal control of forward-backward stochastic differential equations with jumps, SIAM Journal on Control and Optimization 48 (2010), no. 5, 2945–2976.

F. H. Sarhan, Maximal solution of forward-backward system for fuzzy stochastic differential equations, Advances in Nonlinear Variational Inequalities 28 (2025), no. 7s, 349–360.

D. K. Seya, R. M. Makengo, M. Remon, and W. O. Rebecca, Fuzzy itˆo integral driven by a fuzzy brownian motion, Journal of Fuzzy Set Valued Analysis 3 (2015), 232–244.