Issue:Solution of intuitionistic fuzzy differential equations by successive approximations method

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Title of paper: Solution of intuitionistic fuzzy differential equations by successive approximations method Author(s): Razzika Ettoussi Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Said Melliani Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco M'hamed Elomari Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Lalla Saadia Chadli Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco Published in: "Notes on IFS", Volume 21, 2015, Number 2, pages 51—62 Download:  PDF (188  Kb, Info) Abstract: In this paper, we discuss the existence and uniqueness of a solution of the intuitionistic fuzzy differential equation using the method of successive approximation Keywords: Levelwise continuous, Intuitionistic fuzzy solution. AMS Classification: 03E72. References: Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96. Atanassov, K. (1999) Intuitionistic Fuzzy Sets : Theory and Applications, Springer Physica-Verlag, Heidelberg. Atanassov, K. T., Vassilev, P. M., & Tsvetkov, R. T. (2013) Intuitionistic Fuzzy Sets, Measures and integrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic Publishing House, Sofia. Bradley M & Datko R. (1977) Some analytic and measure theoretic properties of set-valued mappings SIAM J. Control Optim., 15, 625–635. Kaleva, O. (1990) The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems, 35, 389–396. Melliani, S., Elomari, M., Chadli, L. S. & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53. Melliani, S., Ettoussi R., M., Chadli, L. S. & Elomari, M. Intuitionistic Fuzzy Differential Equations (submitted to Notes on Intuitionistic Fuzzy Sets) Castaing, C., & Valadier, M. (1977) Convex Analysis and Measurable Multifunctions, Springer, Berlin. Citations: Issue:Numerical solution of intuitionistic fuzzy differential equations by Adams' three order predictor-corrector method ‎ (← links) Issue:Derivative-free Newton's method for solving intuitionistic fuzzy nonlinear equations with an application ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.