Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Baleanu, D.Publisher: search.filters.publisher.Asme

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Now showing 1 - 4 of 4
  • Article
    Citation - WoS: 37
    Citation - Scopus: 52
    A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model
    (Asme, 2021) Habenom, Haile; Suthar, D. L.; Baleanu, D.; Purohit, S. D.
    The aim of this paper is to develop a fractional order mathematical model for describing the spread of hepatitis B virus (HBV). We also provide a rigorous mathematical analysis of the stability of the disease-free equilibrium (DFE) and the endemic equilibrium of the system based on the basic reproduction number. Here, the infectious disease HBV model is described mathematically in a nonlinear system of differential equations in a caputo sense, and hence, Jacobi collocation method is used to reduce into a system of nonlinear equations. Finally, Newton Raphson method is used for the systems of nonlinear equations to arrive at an approximate solution and matlab 2018 has helped us to simulate the nature of each compartment and effects of the possible control strategies (i.e., vaccination and isolation).
  • Article
    Citation - WoS: 82
    Citation - Scopus: 93
    Application of a Homogeneous Balance Method To Exact Solutions of Nonlinear Fractional Evolution Equations
    (Asme, 2014) Tajadodi, H.; Baleanu, D.; Jafari, H.
    The fractional Fan subequation method of the fractional Riccati equation is applied to construct the exact solutions of some nonlinear fractional evolution equations. In this paper, a powerful algorithm is developed for the exact solutions of the modified equal width equation, the Fisher equation, the nonlinear Telegraph equation, and the Cahn-Allen equation of fractional order. Fractional derivatives are described in the sense of the modified Riemann-Liouville derivative. Some relevant examples are investigated.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 3
    Some Kinds of the Controllable Problems for Fuzzy Control Dynamic Systems
    (Asme, 2018) Tri, P. V.; Ahmadian, A.; Salahshour, S.; Baleanu, D.; Phu, N. D.
    In this work, we have discussed the fuzzy solutions for fuzzy controllable problem, fuzzy feedback problem, and fuzzy global controllable (GC) problems. We use the method of successive approximations under the generalized Lipschitz condition for the local existence and furthermore, we have described the contraction principle under suitable conditions for global existence and uniqueness of fuzzy solutions. We have too the GC results for fuzzy systems. Some examples and computer simulation illustrating our approach are also given for these controllable problems.
  • Article
    Citation - WoS: 13
    Citation - Scopus: 15
    On a Numerical Approach To Solve Multi-Order Fractional Differential Equations With Initial/Boundary Conditions
    (Asme, 2015) Yousefi, S. A.; Jafari, H.; Baleanu, D.; Firoozjaee, M. A.
    In this manuscript, a new method is introduced for solving multi-order fractional differential equations. By transforming the fractional differential equations into an optimization problem and using polynomial basis functions, we obtain the system of algebraic equation. Then, we solve the system of nonlinear algebraic equation and obtain the coefficients of polynomial expansion. Also, we show the convergence of the method. Some numerical examples are presented which illustrate the theoretical results and the performance of the method.