Browsing by Author "Korpinar, Zeliha"

Now showing 1 - 10 of 10

Citation - WoS: 11
Citation - Scopus: 13
The Deterministic and Stochastic Solutions of the Schrodinger Equation With Time Conformable Derivative in Birefrigent Fibers
(Amer inst Mathematical Sciences-aims, 2020) Inc, Mustafa; Alshomrani, Ali S.; Baleanu, Dumitru; Korpinar, Zeliha
In this manuscript, the deterministic and stochastic nonlinear Schrodinger equation with time conformable derivative is analysed in birefrigent fibers. Hermite transforms, white noise analysis and the modified fractional sub-equation method are used to obtain white noise functional solutions for this equation. These solutions consists of exact stochastic hyperbolic functions, trigonometric functions and wave solutions.
Citation - WoS: 40
Citation - Scopus: 42
Theory and Application for the Time Fractional Gardner Equation With Mittag-Leffler Kernel
(Taylor & Francis Ltd, 2019) Inc, Mustafa; Baleanu, Dumitru; Bayram, Mustafa; Korpinar, Zeliha
In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana-Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a recurrent process. The existence and uniqueness of solution for this system is discussed. To explain the effects of several parameters and variables on the movement, the approximate results are shown in graphics and tables.
Citation - WoS: 1
Citation - Scopus: 1
New Approach for Propagated Light With Optical Solitons by Optical Fiber in Pseudohyperbolic Space H0²
(Wiley, 2023) Korpinar, Talat; Korpinar, Zeliha; Baleanu, Dumitru; Cem Demirkol, Ridvan; Inc, Mustafa
In this paper, a new evolution of polarized light ray by optical fiber in the pseudohyperbolic space H-0(2) is examined. Firstly, the characterization of the parallel transportation law associated with the geometric pseudohyperbolic phase of the light ray is given. Later, a principle nature of electric and magnetic field along with the light ray in the pseudohyperbolic space H-0(2) is defined by the geometric invariants. Finally, optical solutions of nonlinear pseudohyperbolic Schrodinger's equations governing the propagation of electromagnetic fields are successfully derived by using the traveling wave hypothesis approach.
Citation - WoS: 42
Citation - Scopus: 47
Residual Power Series Algorithm for Fractional Cancer Tumor Models
(Elsevier, 2020) Inc, Mustafa; Hincal, Evren; Baleanu, Dumitru; Korpinar, Zeliha
In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution. One of the advantages of this method is quick and easy calculation to find series solutions by using mathematica software package. Graphical presentations for series solutions are given to explanation of the method. The obtained outcomes explain that process is applicable and reliable method to obtain numerical solutions of fractional equations. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
Citation - WoS: 3
Citation - Scopus: 3
On Fermi-Walker Transformation for Timelike Flows in Spacetime
(Elsevier, 2021) Baleanu, Dumitru; Korpinar, Zeliha; Inc, Mustafa; Korpinar, Talat
In this manuscript, we firstly suggest different type for Fermi-Walker transportations along with flow lines of a non-vanishing vector field in Minkowski spacetime. Moreover, we construct the evolution equations of Frenet fields by Fermi-Walker derivative in Minkowski spacetime. Also, Fermi Walker parallelism is obtained the evolution equations of Frenet fields. Finally, we obtain some new results for flows by this new derivative in Minkowski spacetime. (C) 2021 Elsevier B.V. All rights reserved.
Citation - Scopus: 1
Magnetic Charged Particles of Optical Spherical Antiferromagnetic Model With Fractional System
(de Gruyter Poland Sp Z O O, 2021) Korpinar, Talat; Baleanu, Dumitru; Korpinar, Zeliha; Almohsen, Bandar; Inc, Mustafa; Yao, Shao-Wen
In this article, we first consider approach of optical spherical magnetic antiferromagnetic model for spherical magnetic flows of Upsilon-magnetic particle with spherical de-Sitter frame in the de-Sitter space S-1(2). Hence, we establish new relationship between magnetic total phases and spherical timelike flows in de-Sitter space S-1(2). In other words, the applied geometric characterization for the optical magnetic spherical antiferromagnetic spin is performed. Moreover, this approach is very useful to analyze some geometrical and physical classifications belonging to Upsilon-particle. Besides, solutions of fractional optical systems are recognized for submitted geometrical designs. Geometrical presentations for fractional solu-tions are obtained to interpret the model. These obtained results represent that operation is a compatible and sig-nificant application to restore optical solutions of some fractional systems. Components of models are described by physical assertions with solutions. Additionally, we get solutions of optical fractional flow equations with designs of our results in de-Sitter space S-1(2).
Citation - WoS: 4
Citation - Scopus: 5
On Exact Special Solutions for the Stochastic Regularized Long Wave-Burgers Equation
(Springer, 2020) Alshomrani, Ali S.; Inc, Mustafa; Baleanu, Dumitru; Korpinar, Zeliha
In this paper, we will analyze the Regularized Long Wave-Burgers equation with conformable derivative (cd). Some white noise functional solutions for this equation are obtained by using white noise analysis, Hermite transforms, and the modified sub-equation method. These solutions include exact stochastic trigonometric functions, hyperbolic functions solutions and wave solutions. This study emphasizes that the modified fractional sub-equation method is sufficient to solve the stochastic nonlinear equations in mathematical physics.
Citation - WoS: 17
Citation - Scopus: 17
Geometric Phase for Timelike Spherical Normal Magnetic Charged Particles Optical Ferromagnetic Model
(Taylor & Francis Ltd, 2020) Korpinar, Zeliha; Inc, Mustafa; Baleanu, Dumitru; Korpinar, Talat
We introduce the theory of optical spherical Heisenberg ferromagnetic spin of timelike spherical normal magnetic flows of particles by the spherical frame in de Sitter space. Also, the concept of timelike spherical normal magnetic particles is investigated, which may have evolution equations. Afterward, we reveal new relationships with some integrability conditions for timelike spherical normal magnetic flows in de-Sitter space. In addition, we obtain total phases for spherical normal magnetic flows. We also acquire perturbed solutions of the nonlinear Schrodinger's equation that governs the propagation of solitons in de-Sitter space S-1(2). Finally, we provide some numerical simulations to supplement the analytical outcomes.
Citation - WoS: 27
Citation - Scopus: 33
A New Iterative Algorithm on the Time-Fractional Fisher Equation: Residual Power Series Method
(Sage Publications Ltd, 2017) Korpinar, Zeliha; Baleanu, Dumitru; Inc, Mustafa; Al Qurashi, Maysaa' Mohamed
In this article, the residual power series method is used to solve time-fractional Fisher equation. The residual power series method gets Maclaurin expansion of the solution. The solutions of present equation are computed in the shape of quickly convergent series with quickly calculable fundamentals using mathematica software package. Explanation of the method is given by graphical consequences and series solutions are made use of to represent our solution. The found consequences show that technique is a power and efficient method in conviction of solution time-fractional Fisher equation.
Citation - WoS: 17
Citation - Scopus: 19
Quasi Binormal Schrodinger Evolution of Wave Polarization Field of Light With Repulsive Type
(Iop Publishing Ltd, 2021) Demirkol, Ridvan Cem; Khalil, Eied M.; Korpinar, Zeliha; Baleanu, Dumitru; Inc, Mustafa; Korpinar, Talat
In this paper, we study the evolution of the wave polarization vector in the tangent direction of the curved path. This path is assumed to be the trajectory of the propagated light beam. The polarization state of the wave is described by the unit complex transverse field component by eliminating the longitudinal field component. We obtain new relationship between the geometric phase and the parallel transportation law of the wave polarization vector of the evolving light beam in the tangent direction of the curved path. Moreover, we present a new geometric interpretation of the quasi binormal evolution of the wave polarization vector via the nonlinear Schrodinger equation of repulsive type in the tangent direction. Finally, we find a space-time nonlocal NLS reduction for equation system.