DSpace@Çankaya

Başlık için listeleme

Başlık için listeleme

Sırala: Sıra: Sonuçlar:

  • Fractional diffusion on bounded domains 
    Defterli, Özlem; D'Elia, Marta; Du, Quiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. (Walter De Gruyter GMBH, 2015-04)
    The mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application ...
  • Fractional dimensional harmonic oscillator 
    Eid, R.; Muslih, Sami I.; Baleanu, Dumitru; Rabei, E. (Editura Acad Romane, 2011)
    The fractional Schrodinger equation corresponding to the fractional oscillator was investigated. The regular singular points and the exact solutions of the corresponding radial Schrodinger equation were reported
  • Fractional discrete-time diffusion equation with uncertainty: Applications of fuzzy discrete fractional calculus 
    Huang, Lan-Lan; Baleanu, Dumitru; Mo, Zhi-We; Wu, Guo-Cheng (Elsevier Science BV, 2018-10-15)
    This study provides some basics of fuzzy discrete fractional calculus as well as applications to fuzzy fractional discrete-time equations. With theories of r-cut set, fuzzy Caputo and Riemann-Liouville fractional differences ...
  • Fractional Dynamics and Analysis of Coupled Schrodinger-KdV Equation With Caputo-Katugampola Type Memory 
    Singh, Jagdev; Gupta, Arpita; Baleanu, Dumitru (2023-09-01)
    Fundamental purpose of the current research article is to analyze the behavior of obtained results of time fractional nonlinear coupled Schrodinger-KdV equation, via implementing an effective analytical technique. In this ...
  • Fractional dynamics of an erbium-doped fiber laser model 
    Gomez-Aguilar, J. F.; Saad, K. M.; Baleanu, Dumitru (Springer, 2019-09)
    In this paper we investigate the model of the time-fractional dynamics of an erbium-doped fiber laser model (TFDEFL) with Liouville-Caputo (LC), Caputo-Fabrizio-Caputo (CFC) and Atangana-Baleanu-Caputo (ABC) time-fractional ...
  • Fractional Electromagnetic Equations Using Fractional Forms 
    Baleanu, Dumitru; Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Mihaela Cristina (Springer/Plenum Publishers, 2009-11)
    The generalized physics laws involving fractional derivatives give new models and conceptions that can be used in complex systems having memory effects. Using the fractional differential forms, the classical electromagnetic ...
  • Fractional Euler-Lagrange and fractional Hamilton equations for super symmetric classical model 
    Baleanu, Dumitru; Muslih, Sami I. (World Scientific, 2007-12)
    Fractional Euler-Lagrange equations were investigated in the presence of the elements of Berezin algebra. The super fractional Hessian was defined and the fractional Hamiltonian of the super symmetric classical model was ...
  • Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator 
    Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo; Elagan, S.; Bilgen, A. (Editura Academiei Romane, 2012)
    A study of the fractional Lagrangian of the so-called Caldirola-Kanai oscillator is presented. The fractional Euler-Lagrangian equations of the system have been obtained, and the obtained Euler-Lagrangian equations have ...
  • Fractional Euler-Lagrange equations for constrained systems 
    Avkar, Tansel; Baleanu, Dumitru (Amer Inst Physics, 2004)
    The fractional calculus is the name for the theory of integrals and derivatives of arbitrary order, which generalize the notions of n-fold integration and integer-order differentiation. Differential equations of fractional ...
  • Fractional Euler-Lagrange equations of motion in fractional space 
    Muslih, Sami I.; Baleanu, Dumitru (Sage Publications Ltd, 2007-10)
    Fractional variational principles have gained considerable importance during the last decade due to their various applications in several areas of science and engineering. In this study, the fractional Euler-Lagrange ...
  • Fractional Euler-Lagrange equations revisited 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (Springer, 2012-08)
    This paper presents the necessary and sufficient optimality conditions for the Euler-Lagrange fractional equations of fractional variational problems with determining in which spaces the functional must exist where the ...
  • Fractional evolution equation with Cauchy data in spaces 
    Phuong, Nguyen Duc; Baleanu, Dumitru; Agarwal, Ravi P.; Long, Le Dinh (2022-12-14)
    In this paper, we consider the Cauchy problem for fractional evolution equations with the Caputo derivative. This problem is not well posed in the sense of Hadamard. There have been many results on this problem when data ...
  • Fractional Exact Solutions and Solitons in Gravity 
    Baleanu, Dumitru; Vacaru, Sergiu (2010)
    We survay our recent results on fractional gravity theory. It is also provided the Main Theorem on encoding of geometric data (metrics and connections in gravity and geometric mechanics) into solitonic hierarchies. Our ...
  • Fractional Frequency Flexible Fourier Form to approximate smooth breaks in unit root testing 
    Omay, Tolga (2015-09-01)
    In this study, a Fractional Frequency Flexible Fourier Form DF-type unit root test is proposed. The small sample properties of the proposed test are found to be better than that of the integer frequency counterpart. ...
  • Fractional frequency flexible fourier form to approximate smoothbreaks in unit root testing 
    Omay, Tolga (Elsevier Science SA, 2015-09)
    In this study, a Fractional Frequency Flexible Fourier Form DF-type unit root test is proposed. The small sample properties of the proposed test are found to be better than that of the integer frequency counterpart.
  • Fractional Gegenbauer Kernel Functions: Theory and Application 
    Nedaei Janbesaraei, Sherwin; Azmoon, Amirreza; Baleanu, Dumitru (2023)
    Because of the usage of many functions as a kernel, the support vector machine method has demonstrated remarkable versatility in tackling numerous machine learning issues. Gegenbauer polynomials, like the Chebyshev and ...
  • Fractional Gegenbauer Kernel Functions: Theory and Application 
    Nedaei Janbesaraei, Sherwin; Azmoon, Amirreza; Baleanu, Dumitru (2023)
    Because of the usage of many functions as a kernel, the support vector machine method has demonstrated remarkable versatility in tackling numerous machine learning issues. Gegenbauer polynomials, like the Chebyshev and ...
  • Fractional Grassi–Miller map based on the Caputo H-difference operator: Linear methods for chaos control and synchronization 
    Talbi, Ibtissem; Ouannas, Adel; Grassi, Giuseppe; Khennaoui, Amina-Aicha; Pham, Viet-Thanh; Baleanu, Dumitru (2020)
    Investigating dynamic properties of discrete chaotic systems with fractional order has been receiving much attention recently. This paper provides a contribution to the topic by presenting a novel version of the fractional ...
  • Fractional Hamilton formalism within Caputo's derivative 
    Baleanu, Dumitru; Agrawal, Om. P. (Inst Physics Acad Sci Czech Republic, 2006-11)
    In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are ...
  • Fractional Hamilton's equations of motion in fractional time 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (De Gruyter Open LTD, 2007-12)
    The Hamiltonian formulation for mechanical systems containing Riemman-Liouville fractional derivatives are investigated in fractional time. The fractional Hamilton's equations are obtained and two examples are investigated ...