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

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  • Nguyen Dinh Phu

    (Faculty of Mathematics and Computer Science, VNU Ho Chi Minh City, Vietnam)

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.

Suggested Citation

  • Nguyen Dinh Phu, 2016. "On Nonlocal Initial Problems for Fuzzy Differential Equations and Environmental Pollution Problems," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 2(8), pages 77-92, 08-2016.
    • Handle: RePEc:arp:ajoams:2016:p:77-92
    DOI: arpgweb.com/?ic=journal&journal=17&info=aims
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    References listed on IDEAS

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    1. Barnab?s Bede & Luciano Stefanini, 2012. "Generalized Differentiability of Fuzzy-valued Functions," Working Papers 1209, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2012.
    2. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
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