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najafi, nematallah, Biranvand, nader. (1398). Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method. نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 10(1 (WINTER)), 37-56.
nematallah najafi; nader Biranvand. "Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method". نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 10, 1 (WINTER), 1398, 37-56.
najafi, nematallah, Biranvand, nader. (1398). 'Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method', نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 10(1 (WINTER)), pp. 37-56.
najafi, nematallah, Biranvand, nader. Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method. نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 1398; 10(1 (WINTER)): 37-56.

Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method

International Journal of Mathematical Modelling & Computations
مقاله 4، دوره 10، 1 (WINTER) - شماره پیاپی 37، خرداد 2020، صفحه 37-56    اصل مقاله (153.35 K)
نوع مقاله: Full Length Article
نویسندگان
nematallah najafi* 1؛ nader Biranvand2
1Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran
2Faculty of Sciences, Imam Ali Officers University, Tehran, Iran
چکیده
The aim of this paper is to use the Reproducing kernel Hilbert Space Method (RKHSM) to solve the linear and nonlinear fuzzy impulsive fractional differential equations. Finding the numerical solutions
of this class of equations are a difficult topic to analyze. In this study, convergence analysis, estimations error and bounds errors are discussed in detail under some hypotheses which provide the theoretical basis of the proposed algorithm. Some numerical examples indicate that this method is an efficient one to solve the mentioned equations.
کلیدواژه‌ها
‎Reproducing kernel Hilbert space method؛ ‎Fuzzy impulsive fractional differential‎؛ ‎Generalized Hukuhara differentiability
آمار
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