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Solution approximations for a mathematical model of relativistic electrons with beta derivative

Applied Mathematics(A Journal of Chinese Universities) 2024年第3期39卷 469-485页

作者： Ibrahim Yalcinkaya Orkun Tasbozan ali kurt Hijaz Ahmad Department of Mathematics and Computer Sciences Faculty of ScienceNecmettin Erbakan UniversityKonyaTurkey Department of Mathematics Faculty of Science and LiteratureHatay Mustafa Kemal UniversityHatayTurkey Department of Mathematics Faculty of SciencePamukkale UniversityDenizliTurkey Near East University Operational Research Center in HealthcareTRNC Mersin 10Nicosia99138Turkey Department of Mathematics Faculty of ScienceIslamic University of MadinahMadinahSaudi Arabia

The main aim of this paper is to obtain the exact and semi-analytical solutions of the nonlinear Klein-Fock-Gordon(KFG)equation which is a model of relativistic electrons arising in the laser thermonuclear fusion with beta *** this purpose,both the modified extended tanh-function(mETF)method and the homotopy analysis method(HAM)are *** applying the mETF the chain rule for beta derivative and complex wave transform are used for obtaining the exact *** advantage of this procedure is that discretization or normalization is not *** applying the mETF,the exact solutions are ***,by applying the HAM semi-analytical results for the considered equation are *** HAM?curve gives us a chance to find the suitable value of the for the convergence of the solution ***,comparative graphical representations are given to show the effectiveness,reliability of the *** results show that the m ETF and HAM are reliable and applicable tools for obtaining the solutions of non-linear fractional partial differential equations that involve beta *** study can bring a new perspective for studies on fractional differential *** the other hand,it can be said that scientists can apply the considered methods for different mathematical models arising in physics,chemistry,engineering,social sciences and *** involves fractional *** the results may cause a new insight who studies on relativistic electron modelling.

关键词： Klein-Fock-Gordon(KFG)equation beta derivative semi-analytical solution exact solution

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New Analytical and Numerical Results For Fractional Bogoyavlensky-Konopelchenko Equation Arising in Fluid Dynamics

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Applied Mathematics(A Journal of Chinese Universities) 2020年第1期35卷 101-112页

作者： ali kurt Department of Mathematics Pamukkale UniversityDenizli 20180Turkey

In this article,(2+1)-dimensional time fractional Bogoyavlensky-Konopelchenko(BK)equation is studied,which describes the interaction of wave propagating along the x axis and y *** acquire the exact solutions of BK equation we employed sub equation method that is predicated on Riccati equation,and for numerical solutions the residual power series method is *** graphical results that compares the numerical and analytical solutions are given for di erent values of.Also comparative table for the obtained solutions is presented.

关键词： Conformable Fractional Derivative Fractional Bogoyavlensky-Konopelchenko Equation Sub-Equation Method Residual Power Series Method

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Applying the New Extended Direct Algebraic Method to Solve the Equation of Obliquely Interacting Waves in Shallow Waters

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Journal of Ocean University of China 2020年第4期19卷 772-780页

作者： kurt ali TOZAR ali TASBOZAN Orkun Department of Mathematics Faculty of Science and ArtPamukkale UniversityDenizli 20160Türkiye Department of Physic Faculty of Science and ArtMustafa Kemal UniversityHatay 31001Türkiye Department of Mathematics Faculty of Science and ArtMustafa Kemal UniversityHatay 31001Türkiye

In this study,the potential Kadomtsev-Petviashvili(pKP)equation,which describes the oblique interaction of surface waves in shallow waters,is solved by the new extended direct algebraic *** results of the study show that by applying the new direct algebraic method to the pKP equation,the behavior of the obliquely interacting surface waves in two dimensions can be *** article fairly clarifies the behaviors of surface waves in shallow *** the literature,several mathematical models have been developed in attempt to study these behaviors,with nonlinear mathematics being one of the most important steps;however,the investigations are still at a level that can be called‘baby steps’.Therefore,every study to be carried out in this context is of great ***,this study will serve as a reference to guide scientists working in this field.

关键词： conformable fractional derivative new extended direct algebraic method interacting wave equation shallow water waves

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New Wave Solutions of Time-Fractional Coupled Boussinesq–Whitham–Broer–Kaup Equation as A Model of Water Waves

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China Ocean Engineering 2019年第4期33卷 477-483页

作者： Emrah ATILGAN Mehmet SENOL ali kurt Orkun TASBOZAN Department of Management Informatics Systems Mustafa Kemal University Hatay Turkey Department of Mathematics Nevsehir Haci Bektas Veli University Nevsehir Turkey Department of Mathematics Pamukkale University Denizli Turkey Department of Mathematics Mustafa Kemal University Hatay Turkey

The main purpose of this paper is to obtain the wave solutions of conformable time fractional Boussinesq–Whitham–Broer–Kaup equation arising as a model of shallow water waves. For this aim, the authors employed auxiliary equation method which is based on a nonlinear ordinary differential equation. By using conformable wave transform and chain rule, a nonlinear fractional partial differential equation is converted to a nonlinear ordinary differential equation. This is a significant impact because neither Caputo definition nor Riemann–Liouville definition satisfies the chain rule. While the exact solutions of the fractional partial derivatives cannot be obtained due to the existing drawbacks of Caputo or Riemann–Liouville definitions, the reliable solutions can be achieved for the equations defined by conformable fractional derivatives.

关键词： time fractional coupled Boussinesq–Whitham–Broer–Kaup equation conformable fractional derivative auxiliary equation method

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Alteration of sister chromatid exchange frequencies in gastric cancer and chronic atrophic gastritis patients with and without H pylori infection

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World Journal of Gastroenterology 2008年第16期14卷 2534-2539页

作者： ali Karaman Dogan Nasir Binici Mehmet Esref Kabalar Hakan Dursun ali kurt Department of Medical Genetics State Hospital Department of Internal Medicine State Hospital Department of Pathology State Hospital Department of Gastroenterology State Hospital

AIM: To determine, by counting sister chromatid exchange (SCE) frequencies, whether genetic impairment and DNA damage have an effect on the pathogenesis of gastric cancer (GC). METHODS: Analysis of SCE is a cytogenetic technique used to show DNA damage as a result of an exchange of DNA fragments between sister chromatids. We analyzed SCE frequency in 24 patients with GC, 26 patients with chronic atrophic gastritis (CAG), and 15 normal controls. The presence of H pylori was confirmed by urease test, toluidine-blue stain and hematoxylin-eosin stain. RESULTS: SCE was significantly increased in H pylori- negative GC patients, and in H pylori-negative CAG patients compared with controls (7.41 ± 1.36 and 6.92 ± 1.20, respectively, vs 5.54 ± 0.8, P 0.05). On other hand, the SCE frequencies in H pylori-positive GC patients were higher than those in H pylori-positive CAG patients (9.20 ± 0.94 vs 7.93 ± 0.81, P < 0.01). Furthermore, H pylori-positive GC patients had a higher SCE frequency than H pylori- negative GC patients (9.20 ± 0.94 vs 7.41 ± 1.36, P < 0.001). Similarly, a significant difference was detected between H pylori-positive CAG patients and H pylori-negative CAG patients (7.93 ± 0.81 vs 6.92 ± 1.20, P < 0.05). CONCLUSION: We suggest the increased SCE in patients reflects a genomic instability that may be operative in gastric carcinogenesis.

关键词： Gastric carcinoma Chronic atrophic gastritis Pathogenesis Helicobacter pylori infection Sisterchromatid exchange

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Multiple-solitons for generalized(2+1)-dimensional conformable Korteweg-de Vries-Kadomtsev-Petviashvili equation

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Journal of Ocean Engineering and Science 2022年第6期7卷 536-542页

作者： Lanre Akinyemi Mehmet Senol Orkun Tasbozan ali kurt Department of Mathematics Lafayette CollegeEastonPennsylvaniaUSA Nevsehir HacıBektas Veli University Department of MathematicsNevsehirTurkey Mustafa Kemal University Department of MathematicsHatayTurkey Pamukkale University Department of MathematicsDenizliTurkey

This paper studied new class of integral equation called the Korteweg-de Vries-Kadomtsev-Petviashvili(KdV-KP)*** equation consist of the well-known fifth-order KdV equation in the context of the Kadomtsev-Petviashvili *** newly gathered class of sixth-order KdV-KP equation is studied using the sub-equation method to obtain several soliton-type solutions which consist of trigonometric,hyperbolic,and rational *** application of the sub-equation approach in this work draws attention to the outstanding characteristics of the suggested method and its ability to handle completely integrable ***,the obtained solutions have not been reported in the previous literature and might have significant impact on future research.

关键词： Conformable derivative Sub-equation method KdV-KP equations Multiple-soliton solutions

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Soliton solutions for time fractional ocean engineering models with Beta derivative

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Journal of Ocean Engineering and Science 2022年第5期7卷 444-448页

作者： Ibrahim Yalçınkaya Hijaz Ahmad Orkun Tasbozan ali kurt Department of Mathematics and Computer Sciences Faculty of ScienceNecmettin Erbakan UniversityKonyaTurkey Department of Basic Sciences University of Engineering and TechnologyPeshawarPakistan Department of Mathematics Faculty of Science and LiteratureHatay Mustafa Kemal UniversityHatayTurkey Department of Mathematics Faculty of Science and LiteraturePamukkale UniversityDenizliTurkey

In this study,the authors obtained the soliton and periodic wave solutions for time fractional symmetric regularized long wave equation(SRLW)and Ostrovsky equation(OE)both arising as a model in ocean *** this aim modified extended tanh-function(mETF)is *** using this method,chain rule is employed to turn fractional nonlinear partial differential equation into the nonlinear ordinary differential equation in integer *** to the chain rule,there is no further requirement for any normalization or *** derivative which involves fractional term is used in considered mathematical *** the exact solutions of these equations is very important for knowing the wave behavior in ocean engineering models.

关键词： Symmetric regularized long wave equation Beta derivative Ostrovsky equation Analytical solution Soliton solutions Periodic wave solution

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Relationship between pinguecula formation and exposure to tandoor ovens in a hospital-based study

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International Journal of Ophthalmology(English edition) 2014年第6期7卷 1014-1016页

作者： Adem Gul Hasan Goker Senol Sabanci ali kurt Kemal Turkyilmaz Department of Ophthalmology Ondokuz Mayis University Department of Ophthalmology Fatih University Department of Ophthalmology Ortadogu Hospital Department of Ophthalmology Kirsehir University Department of Ophthalmology Rize University

AIM: To investigate the relationship between pinguecula and the use of tandoor ***: A total of 539 women, ranging in age from20 to 86 y who attended an outpatient clinic were enrolled. All the patients were asked whether they used tandoor ovens. Women exposed to tandoor ovens(n =286) were accepted as participants in the study group and they were compared with participants in the control group(n =253). The age, presence of pinguecula,duration of exposure to tandoor ovens as years and occupations were recorded for all the ***: Mean duration for exposure to tandoor was20.26y(range 1-62y) in the study group. The rate of pinguecula in the study group was 82.2%(235/286), and the rate in the control group was 37.5%(95/253); this difference was statistically significant(P <0.05).Pinguecula was seen in 61.2%(330/539) of all the ***: Pinguecula is strongly associated with exposure to tandoor ovens.

关键词： pinguecula tandoor ovens heat effect

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Two effective approaches for solving fractional generalized Hirota-Satsuma coupled KdV system arising in interaction of long waves

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Journal of Ocean Engineering and Science 2019年第1期4卷 24-32页

作者： ali kurt Hadi Rezazadeh Mehmet Senol Ahmad Neirameh Orkun Tasbozan Mostafa Eslami Mohammad Mirzazadeh Department of Mathematics Mustafa Kemal UniversityHatayTurkey Faculty of Engineering Technology Amol University of Special Modern TechnologiesAmolIran Department of Mathematics Nevsehir Haci Bektas Veli UniversityNevsehirTurkey Department of Mathematics Faculty of SciencesGonbad Kavous UniversityGonbadIran Department of Mathematics Faculty of Mathematical SciencesUniversity of MazandaranBabolsarIran Department of Engineering Sciences Faculty of Technology and EngineeringEast of GuilanUniversity of GuilanRudsar-VajargahIran

In this article,two different methods,namely sub-equation method and residual power series method,have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations,which is a coupled KdV *** fractional derivative is taken in the conformable *** of the obtained exact solutions were checked by substituting them into the corresponding system with the help of Maple symbolic computation *** results indicate that both methods are easy to implement,effective and *** are therefore ready to apply for various partial fractional differential equations.

关键词： Hirota-Satsuma coupled KdV system Sub-equation method Power series method Conformable fractional derivative

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How has the COVID-19 pandemic changed treatment preferences of patients with proximal ureteral stones?

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当代泌尿学（英文） 2024年第1期18卷 66-70页

作者： ali Kaan Yildiz Ahmet Varan Hakan kurt Omer Gokhan Doluoglu Berat Cem Ozgur Department of Urology University of Medical SciencesAnkara Training and Research HospitalAnkaraTurkey

Background:The impact of the coronavirus disease 2019(COVID-19)pandemic on patient decision making remains *** study aimed to investigate the effect of the pandemic on treatment preferences of patients with proximal ureteral stones.Materials and methods:Retrospective data regarding treatment preferences of patients diagnosed with symptomatic proximal ure-teral stones between July 2018 and November 2021 at a single center were *** from 493 patients were analyzed according to 2 groups,including patients diagnosed during the COVID-19 pandemic and those diagnosed during an equivalent period of time be-fore the pandemic.Results:Preference for conservative treatment increased during the COVID-19 pandemic(p=0.009).In patients who had previously undergone shock wave lithotripsy(SWL),the preference for SWL decreased and the preference for conservative treatment increased during the COVID-19 pandemic(p=0.042).Multiple logistic regression analysis revealed a significant correlation between a preference for conservative treatment during the pandemic and no prior spontaneous stone passage(p=0.003;odds ratio[OR],2.48;95％con-fidence interval[CI],1.45-4.23),no hydronephrosis(p=0.035;OR,3.57;95％Cl,1.34-9.49),and a visual analog scale score of 4 or less(p=0.018;OR,1.97;95％Cl,1.15-3.38).Conclusions:A significant increase in the preference for conservative treatment was observed among patients diagnosed during the pandemic,and patients with a history of SWL demonstrated a preference shift from SWL to conservative treatment.

关键词： COVID-19 pandemic Treatment preference Ureter Urolithiasis

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