Issue:Intuitionistic fuzzy differential equation with nonlocal condition

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http://ifigenia.org/wiki/issue:nifs/21/4/058-068

Title of paper: Intuitionistic fuzzy differential equation with nonlocal condition Author(s): Said Melliani Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco said.melliani@gmail.com M'hamed Elomari Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco M. Atraoui 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 4, pages 58–68 Download:  PDF (199  Kb, File info) Abstract: In this paper, we shall prove the existence and uniqueness theorem of a solution to the nonlocal intuitionistic fuzzy differential equation using the concept of intuitionistic fuzzy semigroup and the contraction mapping principle. Keywords: Intuitionistic fuzzy differential equations, Intuitionistic fuzzy solution, Intuitionistic fuzzy semigroup, Intuitionistic fuzzy number, Mean-square calculus. AMS Classification: 03E72, 08A72. References: Jeong, J. U. (2005) Fuzzy differential equations with nonlocal condition, J. Appl. Math. Computing, 17, 509–517. Melliani, S., M. Elomari, L. S. Chadli & R. Ettoussi (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53. Melliani, S., M. Elomari, L. S. Chadli & R. Ettoussi (2015) Intuitionistic fuzzy semigroup, Notes on Intuitionistic Fuzzy Sets, 21(2), 43–50. Kaleva, O. (1987) Fuzzy differential equations, Fuzzy Sets and Systems, 24, 301–317. Feng, Y. (2000) Fuzzy stochastic differential systems, Fuzzy Sets and Systems, 115, 351–363. Citations: Issue:Solution of n-th order intuitionistic fuzzy differential equation by variational iteration method ‎ (← links) Issue:Intuitionistic fuzzy evolution problem with nonlocal conditions ‎ (← 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.