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Browsing by Subject "Dynamics"

Browsing by Subject "Dynamics"

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  • A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator 
    Baleanu, Dumitru; Jajarmi, Amin; Sajjadi, S. S.; Mozyrska, D. (Amer Inst Physics, 2019-08)
    In this paper, we present a new fractional-order mathematical model for a tumor-immune surveillance mechanism. We analyze the interactions between various tumor cell populations and immune system via a system of fractional ...
  • Dynamical bifurcation of a sewage treatment model with general higher-order perturbation 
    Sabbar, Yassine; Zeb, Anwar; Kiouach, Driss; Gul, Nadia; Sitthiwirattham, Thanin; Baleanu, Dumitru; Pongsopa, Jiraporn (2022-08)
    In this research, we expose new results on the dynamics of a high disturbed chemostat model for industrial wastewater. Due to the complexity of heavy and erratic environmental variations, we take into consideration the ...
  • Fractional constrained systems and caputo derivatives 
    Baleanu, Dumitru (ASME, 2008-04)
    During the last few years, remarkable developments have been made in the theory of the fractional variational principles and their applications to control problems and fractional quantization issue. The variational principles ...
  • Fractional odd-dimensional mechanics 
    Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; Baleanu, Mihaela Cristina (Springer International Publishing, 2011)
    The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is based on ...
  • Global minima of Al(N), Au(N) and Pt(N), N <= 80, clusters described by the Voter-Chen version of embedded-atom potentials 
    Şerbetçi, A.; Güvenç, Büşra (IOP Publishing LTD, 2005-07)
    We report the global minima for aluminium, gold and platinum metal clusters modelled by the Voter-Chen version of the embedded-atom model potential containing up to 80 atoms using the basin-hopping Monte Carlo minimization ...
  • Hamilton-Jacobi formulation of systems within Caputo's fractional derivative 
    Rabei, Eqab M.; Almayteh, Ibtesam; Muslih, Sami I.; Baleanu, Dumitru (IOP Publishing Ltd, 2008-01)
    A new fractional Hamilton-Jacobi formulation for discrete systems in terms of fractional Caputo derivatives was developed. The fractional action function is obtained and the solutions of the equations of motion are recovered. ...
  • Lyapunov exponent as an indicator of phase transition in melting Pd-13 clusters 
    Kurt, Erol; Böyükata, Mustafa; Güvenç, Büşra (Royal Swedish Acad Sciences, 2006-09)
    In this study, the chaotic behaviour of Pd13 clusters is investigated in a wide total energy range. To identify interactions between atoms, the embedded atom potential is used in the computer simulation. Various analyses ...
  • Newtonian mechanics on fractals subset of real-line 
    Golmankhaneh, Alireza K.; Fazlollahi, Vahideh; Baleanu, Dumitru (Editura Acad Romane, 2013)
    In this paper, we have studied the calculus on the fractals, meanwhile Newtonian mechanics on fractals subset of real-line has been suggested. Further, work and energy theorem on fractals with the examples has been explained. ...
  • Nonlinearities in emerging stock markets: evidence from Europe's two largest emerging markets 
    Omay, Tolga; Hasanov, Mübariz (Routledge Taylor&Francis Group, 2008)
    Recent developments in time series analysis allow proper modelling of nonlinearities in economic and financial variables. A growing body of research was dedicated to investigation of potential nonlinearities in conditional ...
  • Stability analysis and numerical simulations of spatiotemporal HIV CD4+T cell model with drug therapy 
    Ahmed, Nauman; Elsonbaty, Amr; Adel, Waleed; Baleanu, Dumitru; Rafiq, Muhammad (2020-08)
    In this study, an extended spatiotemporal model of a human immunodeficiency virus (HIV) CD4+ T cell with a drug therapy effect is proposed for the numerical investigation. The stability analysis of equilibrium points is ...
  • Symmetries of NUT-Kerr-Newman dual metrics 
    Baleanu, Dumitru (Editrice Copmpositori Bologna, 2001)
    The symmetries of NUT-Kerr-Newman (NUT-KN) dual metrics are analysed. The NUT-Kerr-Newman dual spinning space is constructed in the presence of torsion.
  • The hamilton-jacobi treatment of supersymmetric quantum mechanics 
    Baleanu, Dumitru; Güler, Yurdahan (World Scientific Publ CO PTE LTD, 2001)
    We study the Hamilton-Jacobi quantization of supersymmetric quantum mechanics. The equations of motion of the Grassmann variables are obtained from the integrability conditions. The results are in agreement with those ...
  • Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel 
    Yusuf, Abdullahi; Qureshi, Sania; İnç, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali (Amer Inst Physics, 2018-12)
    In the present study, the fractional version with respect to the Atangana-Baleanu fractional derivative operator in the caputo sense (ABC) of the two-strain epidemic mathematical model involving two vaccinations has ...