On Nonlocal Initial Problems for Fuzzy Differential Equations and Environmental Pollution Problems

Nguyen Dinh Phu
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Nguyen Dinh Phu: Faculty of Mathematics and Computer Science, VNU Ho Chi Minh City, Vietnam

Academic Journal of Applied Mathematical Sciences, 2016, vol. 2, issue 8, 77-92

Abstract: We present the properties of fuzzy solutions of the nonlocal initial problems for fuzzy differential equations under generalized Hukuhara differentiability (NIP for FIDEs) by the point of view of Hausdorff metric space, for example, existence, uniqueness, boundedness, ...  and stability of solutions. The different types of solutions NIP for  FDEs are generated by the usage of two different concepts of fuzzy derivative in the formulation of a differential problems. The examples are given to illustrate these results.

Keywords: Hausdorff metric space; The positive lyapunov - like function; Fuzzy differential equations under generalized hukuhara differentiability (FDEs); The nonlocal initial problems (NIP). (search for similar items in EconPapers)
Date: 2016
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