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Browsing by Author "Alijani, Zahra"

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    Article
    Numerical solution of a new mathematical model for intravenous drug administration
    (Springer Heidelberg, 2024) Alijani, Zahra; Baleanu, Dumitru; Shiri, Babak; Perfilieva, Irina; Baleanu, Dumitru; 56389
    We develop and analyze a new mathematical model for intravenous drug administration and the associated diffusion process. We use interval analysis to obtain a system of weakly singular Volterra integral equations over ordinary functions. We then use the operational method based on Chebyshev polynomials for obtaining an approximate solution of the numerical form. We show that for a certain class of fuzzy number valued functions, their generalized Hukuhara derivatives can be reduced to the derivatives of ordinary real-valued functions. By using our approach, we are able to estimate numerical solutions very accurately.
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    Article
    Spline collocation methods for systems of fuzzy fractional differential equations
    (Pergamon-elsevier Science Ltd, 2020) Alijani, Zahra; Baleanu, Dumitru; Baleanu, Dumitru; Shiri, Babak; Wu, Guo-Cheng; 56389
    In this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application. (C) 2019 Elsevier Ltd. All rights reserved.