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On Nonlocal Initial Problems for Fuzzy Differential Equations and Environmental Pollution Problems
Journal: Academic Journal of Applied Mathematical Sciences (Vol.2, No. 8)Publication Date: 2016-08-15
Authors : Nguyen Dinh Phu;
Page : 77-92
Keywords : Hausdorff metric space; The positive lyapunov - like function; Fuzzy differential equations under generalized hukuhara differentiability (FDEs); The nonlocal initial problems (NIP);
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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.
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Last modified: 2018-11-02 16:23:43