DSpace@Çankaya

Başlık için listeleme

Başlık için listeleme

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  • Fractional Modeling of Cancer with Mixed Therapies 
    Javeed, Shumaila; Ul Abdeen, Zain; Baleanu, Dumitru (2023-08)
    Background: Cancer is the biggest cause of mortality globally, with approximately 10 million fatalities expected by 2020, or about one in every six deaths. Breast, lung, colon, rectum, and prostate cancers are the most ...
  • Fractional Modeling of Viscous Fluid over a Moveable Inclined Plate Subject to Exponential Heating with Singular and Non-Singular Kernels 
    Rehman, Aziz Ur; Riaz, Muhammad Bilal; Rehman, Wajeeha; Awrejcewicz, Jan; Baleanu, Dumitru (2022-01)
    In this paper, a new approach to investigating the unsteady natural convection flow of viscous fluid over a moveable inclined plate with exponential heating is carried out. The mathematical modeling is based on fractional ...
  • Fractional multipoles in fractional space 
    Muslih, Sami I.; Baleanu, Dumitru (Pergamon-Elsevier ,Science ltd, 2007-02)
    Gauss’ law in -dimensional fractional space is investigated. The electrostatic potential with th-order fractional multipole is obtained in -dimensionally fractional space.
  • Fractional Nambu Mechanics 
    Baleanu, Dumitru; Golmankhaneh, Alireza K. (Springer/Plenum Publishers, 2009-04)
    The fractional generalization of Nambu mechanics is constructed by using the differential forms and exterior derivatives of fractional orders. The generalized Pfaffian equations are obtained and one example is investigated ...
  • Fractional Newtonian mechanics 
    Baleanu, Dumitru; Golmankhaneh, Alireza K.; Nigmatullin, Raoul R.; Golmankhaneh, Ali K. (Versita, 2010-02)
    In the present paper, we have introduced the generalized Newtonian law and fractional Langevin equation. We have derived potentials corresponding to different kinds of forces involving both the right and the left fractional ...
  • 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 ...
  • Fractional one-dimensional transport equation within spectral method combined with modified adomian decomposition method 
    Baleanu, Dumitru; Kadem, Abdelouahab (Amer Soc Mechanical Engineers, 2010)
    In this paper the Chebyshev polynomials technique combined with the modified Adomian decomposition method were applied to solve analytically the fractional transport equation in one-dimensional plane geometry.
  • Fractional Optical Solitons for the Conformable Space-Time Nonlinear Schrodinger Equation With Kerr Law Nonlinearity 
    İnç, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru (Springer, 2018-03)
    In this work, we obtain new soliton solutions for the conformable space-time nonlinear Schrodinger equation (CSTNLSE) with Kerr law nonlinearity. Two integration schemes which are projective Ricatti and extended Jacobi ...
  • Fractional optimal control problems with several state and control variables 
    Agrawal, Om. P.; Defterli, Özlem; Baleanu, Dumitru (Sage Publications LTD, 2010-11)
    In many applications, fractional derivatives provide better descriptions of the behavior of dynamic systems than other techniques. For this reason, fractional calculus has been used to analyze systems having noninteger ...
  • Fractional Order Computing and Modeling with Portending Complex Fit Real-World Data 
    Karaca, Yeliz; Rahman, Mati ur; Baleanu, Dumitru (2023)
    Fractional computing models identify the states of different systems with a focus on formulating fractional order compartment models through the consideration of differential equations based on the underlying stochastic ...
  • Fractional Order Computing and Modeling with Portending Complex Fit Real-World Data 
    Karaca, Yeliz; Rahman, Mati ur; Baleanu, Dumitru (2023)
    Fractional computing models identify the states of different systems with a focus on formulating fractional order compartment models through the consideration of differential equations based on the underlying stochastic ...
  • Fractional order continuity of a time semi-linear fractional diffusion-wave system 
    Phuong, Nguyen Duc; Hoan, Luu Vu Cam; Karapınar, Erdal; Singh, Jagdev; Binh, Ho Duy; Can, Nguyen Huu (2020-12)
    In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion ...
  • Fractional Order Mathematical Model of Serial Killing with Different Choices of Control Strategy 
    Rahman, Mati Ur; Ahmad, Shabir; Arfan, Muhammad; Akgül, Ali; Jarad, Fahd (2022-03)
    The current manuscript describes the dynamics of a fractional mathematical model of serial killing under the Mittag–Leffler kernel. Using the fixed point theory approach, we present a qualitative analysis of the problem ...
  • Fractional Order Modelling of Zero Length Column Desorption Response For Adsorbents With Variable Particle Sizes 
    Tenreiro Machado, J. A.; Zaman, Sharif F.; Baleanu, Dumitru (Sciendo, 2013-06)
    This manuscript analyses the data generated by a Zero Length Column (ZLC) diffusion experimental set-up, for 1,3 Di-isopropyl benzene in a 100% alumina matrix with variable particle size. The time evolution of the phenomena ...
  • Fractional order models of industrial pneumatic controllers 
    Razminia, Abolhassan; Baleanu, Dumitru (2014)
    This paper addresses a new approach for modeling of versatile controllers in industrial automation and process control systems such as pneumatic controllers. Some fractional order dynamical models are developed for pressure ...
  • Fractional Pais-Uhlenbeck Oscillator 
    Baleanu, Dumitru; Petras, Ivo; Asad, Jihad H.; Pilar Velasco, Maria (Springer, 2012-04)
    In this paper we study the fractional Lagrangian of Pais-Uhlenbeck oscillator. We obtained the fractional Euler-Lagrangian equation of the system and then we studied the obtained Euler-Lagrangian equation numerically. The ...
  • Fractional partial random differential equations with infinite delay 
    Heris, Amel; Salim, Abdelkrim; Benchohra, Mouffak; Karapınar, Erdal (2022-06)
    The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic ...
  • Fractional physical problems including wind-influenced projectile motion with mittag-leffler kernel 
    Özarslan, Ramazan; Baş, Erdal; Baleanu, Dumitru; Acay, Bahar (2020)
    In this manuscript the fractional form of wind-influenced projectile motion equations which have a significant place in physics is extensively investigated by preserving dimensionality of the physical quantities for ...
  • Fractional Propagation of Short Light Pulses in Monomode Optical Fibers: Comparison of Beta Derivative and Truncated M-Fractional Derivative 
    Riaz, Muhammad Bilal; Jhangeer, Adil; Awrejcewicz, Jan; Baleanu, Dumitru; Tahir, Sana (2022-03)
    This study is dedicated to the computation and analysis of solitonic structures of a nonlinear Sasa–Satsuma equation that comes in handy to understand the propagation of short light pulses in the monomode fiber optics with ...
  • Fractional Proportional Differences With Memory 
    Abdeljawad, Thabet; Jarad, Fahd; Alzabut, Jehad (Springer Heidelberg, 2017-12)
    In this paper, we formulate nabla fractional sums and differences and the discrete Laplace transform on the time scale hZ. Based on a local type h-proportional difference (without memory), we generate new types of fractional ...