Metrics
Publication
102
Open Access
21
UN Sustainable Development Goals
Education
1997 - 2000
1997 - 2000Doctorate
Ondokuz Mayis University, Fen Bilimleri Enstitüsü, Matematik (Dr), Turkey
1990 - 1994
1990 - 1994Postgraduate
Ondokuz Mayis University, Fen Bilimleri Enstitüsü, Matematik (Yl) (Tezli), Turkey
1985 - 1989
1985 - 1989Undergraduate
Ondokuz Mayis University, Fen-Edebiyat Fakültesi, Matematik Bölümü, Turkey
Dissertations
2000
2000Doctorate
İki boyutlu düzlemde newtoniyen olmayan akışkanların zamandan bağımsız hareketlerinin özellikleri
Ondokuz Mayis University, Fen Bilimleri Enstitüsü, Matematik (Dr)
1994
1994Postgraduate
Potansiyel denklemi ve uygulamaları
Ondokuz Mayis University, Fen Bilimleri Enstitüsü, Matematik (Yl) (Tezli)
Foreign Languages
B2 Upper Intermediate
B2 Upper IntermediateEnglish
Research Areas
Mathematics
Dynamic Systems and Ergodic Theory
Numerical Analysis
Natural Sciences
Academic Positions
2015 - Continues
2015 - ContinuesProfessor
Ondokuz Mayis University, Fen-Edebiyat Fakültesi, Matematik Bölümü
Courses
Postgraduate
Postgraduate
FMA 632 Matematik Fiziğin Denklemleri
FMA 818 Uzmanlık Alan Dersi
FMA 817 Uzmanlık Alan Dersi
FMA 660 Kesirli Analiz I
FMA 661 Kesirli Analiz II
FMA 818 Uzmanlık Alan Dersi
FMA 621 Diferansiyel Denklemler I
FMA 622 Diferansiyel Denklemler II
Undergraduate
Undergraduate
MAT 325 Mesleki Yabancı Dil I
MTÖ 404 Uygulamalı Matematik(Eğt.Fak.)
MAT 208 Mat.Bil.Tek.Kul.II
MAT 501 Bilgisayar Programlama (Eğt.Fak.)
MAT 402 Bilgisayar Programlama II
MAT 401 Bilgisayar Programlama I
MAT 207 Mat.Bil.Tek.Kul.I
BİL 241 Diferansiyel Denklemler
MAT 206 Diferansiyel Denklemler II
MTÖ 456 Uygulamalı Matematik
MAT 205 Diferansiyel Denklemler (Eğt.Fak.)
MAT 501 Bilgisayar Programlama I(Eğt.Fak.)
BİL 241 Diferansiyel Denklemler (Müh.Fak.)
MAT 404 Uygulamalı Matematik (Eğt.Fak.)
MAT 205 Diferansiyel Denklemler I
MAT 205 Diferansiyel Denklemler I(B)
MAT 421 Mesleki Yabancı Dil I
MAT 208 Diferansiyel Denklemler II(Eğt.Fak.)
MAT 422 Mesleki Yabancı Dil II
MAT 408 Bilgisayar Programlama II
MAT 206 Diferansiyel Denklemler II(B)
MAT 205 Diferansiyel Denklemler I(Eğt.Fak.)
MAT 401 Bilgisayar Programlama I (Eğt.Fak.)
MAT 208 Diferansiyel Denklemler II(Eğt.Fak.)
MAT 422 Mesleki Yabancı Dil II
MAT 401 Bilgisayar Programlama I
MAT 206 Diferansiyel Denklemler II(B)
MAT 408 Bilgisayar Programlama II
MAT 421 Mesleki Yabancı Dil I
MAT 205 Diferansiyel Denklemler I
MAT 302 Bilgisayar Bilimlerine Giriş II
MAT 282 Diferansiyel Denklemler
MAT 208 Diferansiyel Denklemler II
MAT 308 Matematiğe Bilimsel Yaklaşım
MAT 205 Diferansiyel Denklemler
Journal articles indexed in SCI, SSCI, and AHCI
2025
2025A fractional-order multi-delayed bicyclic crossed neural network: Stability, bifurcation, and numerical solution
Kumar P., Lee T. H., Ertürk V. S.
NEURAL NETWORKS
, 2025 (SCI-Expanded)
2025
2025A novel fractional-order neutral-type two-delayed neural network: Stability, bifurcation, and numerical solution
Kumar P., Lee T. H., Ertürk V. S.
MATHEMATICS AND COMPUTERS IN SIMULATION
, pp.245-260, 2025 (SCI-Expanded)
2024
2024Remarks on symmetric anharmonic oscillator
Jarrar R., Ertürk V. S., Asad J.
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
, vol.43, no.4, pp.1509-1516, 2024 (SCI-Expanded)
2024
2024A novel two-delayed tri-neuron neural network with an incomplete connection
Kumar P., Lee T. H., Ertürk V. S.
NONLINEAR DYNAMICS
, vol.112, pp.20269-20293, 2024 (SCI-Expanded)
2024
2024A Novel Fractional-Order Cascade Tri-Neuron Hopfield Neural Network: Stability, Bifurcations, and Chaos
Kumar P., Lee T. H., Ertürk V. S.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
, vol.23, no.5, 2024 (SCI-Expanded)
2024
2024An asymmetric model two-dimensional oscillator
Rath B., Ertürk V. S., Asad J., Mallick P., Jarrar R.
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
, vol.43, no.2, pp.744-754, 2024 (SCI-Expanded)
2023
2023Generalized forms of fractional Euler and Runge-Kutta methods using non-uniform grid
Kumar P., Erturk V. S., Murillo-Arcila M., Harley C.
International Journal of Nonlinear Sciences and Numerical Simulation
, vol.24, no.6, pp.2089-2111, 2023 (SCI-Expanded)
2023
2023Fractional mathematical modeling of the Stuxnet virus along with an optimal control problem
Kumar P., Govindaraj V., Ertürk V. S., Nisar K. S., İNÇ M.
AIN SHAMS ENGINEERING JOURNAL
, vol.14, no.7, 2023 (SCI-Expanded)
2023
2023A case study of Covid-19 epidemic in India via new generalised Caputo type fractional derivatives
Kumar P., Ertürk V. S.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
, vol.46, no.7, pp.7930-7943, 2023 (SCI-Expanded)
2023
2023A NEW FORM OF L1-PREDICTOR-CORRECTOR SCHEME TO SOLVE MULTIPLE DELAY-TYPE FRACTIONAL ORDER SYSTEMS WITH THE EXAMPLE OF A NEURAL NETWORK MODEL
Kumar P., Ertürk V. S., Murillo-Arcila M., Govindaraj V.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
, vol.31, no.4, 2023 (SCI-Expanded)
2023
2023A revisit on the characteristics of Yao-Cheng non-linear oscillator
Rath B., Nayak B., Mallick P., Sahoo R. R., Ertürk V. S., Wannan R., et al.
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL
, vol.42, no.1, pp.470-474, 2023 (SCI-Expanded)
2023
2023A Study on the Nonlinear Caputo-Type Snakebite Envenoming Model with Memory
Kumar P., Ertürk V. S., Govindaraj V., BALEANU D.
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
, vol.136, no.3, pp.2487-2506, 2023 (SCI-Expanded)
2022
2022A novel mathematical model to describe the transmission dynamics of tooth cavity in the human population
Kumar P., Govindaraj V., Ertürk V. S.
CHAOS SOLITONS & FRACTALS
, vol.161, 2022 (SCI-Expanded)
2022
2022A Study on the 3D Hopfield Neural Network Model via Nonlocal Atangana-Baleanu Operators
Rezapour S., Kumar P., Ertürk V. S., Etemad S.
COMPLEXITY
, vol.2022, 2022 (SCI-Expanded)
2022
2022Stability and bifurcation analysis of a fractional-order model of cell-to-cell spread of HIV-1 with a discrete time delay
Abbas S., Tyagi S., Kumar P., Ertürk V. S., Momani S.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
, vol.45, no.11, pp.7081-7095, 2022 (SCI-Expanded)
2022
2022Some novel mathematical analysis on a corneal shape model by using Caputo fractional derivative
Ertürk V. S., Ahmadkhanlu A., Kumar P., Govindaraj V.
OPTIK
, vol.261, 2022 (SCI-Expanded)
2022
2022A study on the dynamics of alkali-silica chemical reaction by using Caputo fractional derivative
Kumar P., Govindaraj V., Ertürk V. S., Abdellattif M. H.
PRAMANA-JOURNAL OF PHYSICS
, vol.96, no.3, 2022 (SCI-Expanded)
2022
2022Analytic Solution for the Strongly Nonlinear Multi-Order Fractional Version of a BVP Occurring in Chemical Reactor Theory
Ertürk V. S., Alomari A. K., Kumar P., Murillo-Arcila M.
DISCRETE DYNAMICS IN NATURE AND SOCIETY
, vol.2022, 2022 (SCI-Expanded)
2022
2022A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
Zeb A., Kumar P., Ertürk V. S., Sitthiwirattham T.
JOURNAL OF KING SAUD UNIVERSITY SCIENCE
, vol.34, no.4, 2022 (SCI-Expanded)
2022
2022An Implementation of the Generalized Differential Transform Scheme for Simulating Impulsive Fractional Differential Equations
Odibat Z., Ertürk V. S., Kumar P., Ben Makhlouf A., Govindaraj V.
MATHEMATICAL PROBLEMS IN ENGINEERING
, vol.2022, 2022 (SCI-Expanded)
2022
2022A study on the maize streak virus epidemic model by using optimized linearization-based predictor-corrector method in Caputo sense
Kumar P., Ertürk V. S., Vellappandi M., Trinh H., Govindaraj V.
CHAOS SOLITONS & FRACTALS
, vol.158, 2022 (SCI-Expanded)
2022
2022Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model
Kumar P., Govindaraj V., Ertürk V. S., Mohamed M. S.
ADVANCES IN CONTINUOUS AND DISCRETE MODELS
, vol.2022, no.1, 2022 (SCI-Expanded)
2022
2022Existence and stability results for nonlocal boundary value problems of fractional order
Ertürk V. S., Ali A., Shah K., Kumar P., Abdeljawad T.
BOUNDARY VALUE PROBLEMS
, vol.2022, no.1, 2022 (SCI-Expanded)
2022
2022Fractional dynamics of 2019-nCOV in Spain at different transmission rate with an idea of optimal control problem formulation
Kumar P., Ertürk V. S., Nisar K. S., Jamshed W., Mohamed M. S.
ALEXANDRIA ENGINEERING JOURNAL
, vol.61, no.3, pp.2204-2219, 2022 (SCI-Expanded)
2022
2022A delayed plant disease model with Caputo fractional derivatives
Kumar P., BALEANU D., Ertürk V. S., Inc M., Govindaraj V.
ADVANCES IN CONTINUOUS AND DISCRETE MODELS
, vol.2022, no.1, 2022 (SCI-Expanded)
2021
2021Dynamics of generalized Caputo type delay fractional differential equations using a modified Predictor-Corrector scheme
Odibat Z., Ertürk V. S., Kumar P., Govindaraj V.
PHYSICA SCRIPTA
, vol.96, no.12, 2021 (SCI-Expanded)
2021
2021Fractional dynamics of huanglongbing transmission within a citrus tree
Kumar P., Ertürk V. S., Nisar K. S.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
, vol.44, no.14, pp.11404-11424, 2021 (SCI-Expanded)
2021
2021Fractional time-delay mathematical modeling of Oncolytic Virotherapy
Kumar P., Ertürk V. S., Yusuf A., Kumar S.
CHAOS SOLITONS & FRACTALS
, vol.150, 2021 (SCI-Expanded)
2021
2021A complex fractional mathematical modeling for the love story of Layla and Majnun
Kumar P., Ertürk V. S., Murillo-Arcila M.
CHAOS SOLITONS & FRACTALS
, vol.150, 2021 (SCI-Expanded)
2021
2021A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives
Kumar P., Ertürk V. S., Murillo-Arcila M., Banerjee R., Manickam A.
ADVANCES IN DIFFERENCE EQUATIONS
, vol.2021, no.1, 2021 (SCI-Expanded)
2021
2021Prediction studies of the epidemic peak of coronavirus disease in Brazil via new generalised Caputo type fractional derivatives
Kumar P., Ertürk V. S., Abboubakar H., Nisar K. S.
ALEXANDRIA ENGINEERING JOURNAL
, vol.60, no.3, pp.3189-3204, 2021 (SCI-Expanded)
2021
2021A study on canine distemper virus (CDV) and rabies epidemics in the red fox population via fractional derivatives
Kumar P., Ertürk V. S., Yusuf A., Nisar K. S., Abdelwahab S. F.
RESULTS IN PHYSICS
, vol.25, 2021 (SCI-Expanded)
2021
2021Mathematical structure of mosaic disease using microbial biostimulants via Caputo and Atangana-Baleanu derivatives
Kumar P., Ertürk V. S., Almusawa H.
RESULTS IN PHYSICS
, vol.24, 2021 (SCI-Expanded)
2021
2021A new fractional mathematical modelling of COVID-19 with the availability of vaccine
Kumar P., Ertürk V. S., Murillo-Arcila M.
RESULTS IN PHYSICS
, vol.24, 2021 (SCI-Expanded)
2021
2021Projections and fractional dynamics of COVID-19 with optimal control strategies
Nabi K. N., Kumar P., Ertürk V. S.
CHAOS SOLITONS & FRACTALS
, vol.145, 2021 (SCI-Expanded)
2021
2021Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative
Kumar P., Ertürk V. S.
CHAOS SOLITONS & FRACTALS
, vol.144, 2021 (SCI-Expanded)
2020
2020A fixed point iteration approach for analyzing the pull-in dynamics of beam-type electromechanical actuators
ALKafri H. Q., Ertürk V. S.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
, vol.97, no.12, pp.2531-2545, 2020 (SCI-Expanded)
2020
2020Dynamics of a fractional order mathematical model for COVID-19 epidemic
Zhang Z., Zeb A., Egbelowo O. F., Erturk V. S.
Advances in Difference Equations
, vol.2020, no.1, 2020 (SCI-Expanded)
2020
2020Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives
Ertürk V. S., Kumar P.
CHAOS SOLITONS & FRACTALS
, vol.139, 2020 (SCI-Expanded)
2020
2020Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class
Zeb A., Alzahrani E., Ertürk V. S., Zaman G.
BIOMED RESEARCH INTERNATIONAL
, vol.2020, 2020 (SCI-Expanded)
2020
2020A unique solution to a fourth-order three-point boundary value problem
Ertürk V. S.
TURKISH JOURNAL OF MATHEMATICS
, vol.44, no.5, pp.1941-1949, 2020 (SCI-Expanded)
2019
2019An approximate solution method for the fractional version of a singular BVP occurring in the electrohydrodynamic flow in a circular cylindrical conduit
Alomari A. K., Ertürk V. S., Momani S., Alsaedi A.
EUROPEAN PHYSICAL JOURNAL PLUS
, vol.134, no.4, 2019 (SCI-Expanded)
2019
2019Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
Asma A., Ali N., Zaman G., Zeb A., Ertürk V. S., Jung I. H.
COMPLEXITY
, vol.2019, 2019 (SCI-Expanded)
2018
2018An approach for approximate solution of fractional-order smoking model with relapse class
Zeb A., Ertürk V. S., Khan U., Zaman G., Momani S.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
, vol.11, no.6, 2018 (SCI-Expanded)
2018
2018Fuzzy Calculus Theory and Its Applications
Abu Arqub O., Pinto C., Rodriguez Lopez R., Ertürk V. S.
COMPLEXITY
, vol.2018, 2018 (SCI-Expanded)
2017
2017MHD Flow of a Viscous Fluid Between Dilating and Squeezing Porous Walls
Ahmed N., Ertürk V. S., Khan U., Mohyud-Din S., Bin-Mohsin B.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
, vol.41, no.A4, pp.951-956, 2017 (SCI-Expanded)
2017
2017Comparing Two Numerical Methods for Approximating a New Giving Up Smoking Model Involving Fractional Order Derivatives
Ertürk V. S., Zaman G., Alzalg B., Zeb A., Momani S.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
, vol.41, no.A3, pp.569-575, 2017 (SCI-Expanded)
2017
2017Influence of thermal and concentration gradients on unsteady flow over a stretchable surface
Ahmed N., Adnan A., Khan U., Mohyud-Din S. T., Ertürk V. S.
RESULTS IN PHYSICS
, vol.7, pp.3153-3162, 2017 (SCI-Expanded)
2016
2016Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
Zeb A., Zaman G., Ertürk V. S., Alzalg B., Yousafzai F., Khan M.
PLOS ONE
, vol.11, no.4, 2016 (SCI-Expanded)
2014
2014Dynamical analysis of the Irving-Mullineux oscillator equation of fractional order
Abbas S., Ertürk V. S., Momani S.
SIGNAL PROCESSING
, vol.102, pp.171-176, 2014 (SCI-Expanded)
2014
2014A FINITE DIFFERENCE TECHNIQUE FOR SOLVING VARIABLE-ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Xu Y., Ertürk V. S.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
, vol.40, no.3, pp.699-712, 2014 (SCI-Expanded)
2014
2014Comparison of Numerical Methods of the SEIR Epidemic Model of Fractional Order
Zeb A., Khan M., Zaman G., Momani S., Ertürk V. S.
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
, vol.69, no.1-2, pp.81-89, 2014 (SCI-Expanded)
2013
2013A Multistage Variational Iteration Method for Solution of Delay Differential Equations
GÖKDOĞAN A., MERDAN M., Ertürk V. S.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
, vol.14, no.3-4, pp.159-166, 2013 (SCI-Expanded)
2012
2012A multistage variational iteration method for approximate-analytic solution of avian-human influenza epidemic model
GÖKDOĞAN A., MERDAN M., Ertürk V. S.
KUWAIT JOURNAL OF SCIENCE & ENGINEERING
, vol.39, no.2A, pp.57-67, 2012 (SCI-Expanded)
2012
2012A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives
Ertürk V. S., Zaman G., Momani S.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
, vol.64, no.10, pp.3065-3074, 2012 (SCI-Expanded)
2012
2012The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators
Ertürk V. S., Odibat Z. M., Momani S.
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
, vol.4, no.4, pp.422-438, 2012 (SCI-Expanded)
2012
2012APPLICATION OF MULTI-STEP DIFFERENTIAL TRANSFORM METHOD FOR THE ANALYTICAL AND NUMERICAL SOLUTIONS OF THE DENSITY DEPENDENT NAGUMO TELEGRAPH EQUATION
Ertürk V. S., Odibat Z. M., Momani S.
ROMANIAN JOURNAL OF PHYSICS
, vol.57, no.7-8, pp.1065-1078, 2012 (SCI-Expanded)
2012
2012The differential transform method and Pade approximants for a fractional population growth model
Ertürk V. S., YILDIRIM A., Momanic S., Khan Y.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
, vol.22, no.6-7, pp.791-802, 2012 (SCI-Expanded)
2012
2012Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method
DOĞAN N., Ertürk V. S., AKIN Ö.
DISCRETE DYNAMICS IN NATURE AND SOCIETY
, vol.2012, 2012 (SCI-Expanded)
2011
2011An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4(+) T-cells
Ertürk V. S., Odibat Z. M., Momani S.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
, vol.62, no.3, pp.996-1002, 2011 (SCI-Expanded)
2011
2011Application of the modified differential transform method to fractional oscillators
Abu-Gurra S., Ertürk V. S., Momani S.
KYBERNETES
, vol.40, no.5-6, pp.751-761, 2011 (SCI-Expanded)
2010
2010Solutions of a fractional oscillator by using differential transform method
Al-rabtah A., Ertürk V. S., Momani S.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
, vol.59, no.3, pp.1356-1362, 2010 (SCI-Expanded)
2008
2008Application of generalized differential transform method to multi-order fractional differential equations
Ertürk V. S., Momani S., Odibat Z.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
, vol.13, no.8, pp.1642-1654, 2008 (SCI-Expanded)
2008
2008Solving systems of fractional differential equations using differential transform method
Ertürk V. S., Momani S.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
, vol.215, no.1, pp.142-151, 2008 (SCI-Expanded)
2008
2008Generalized differential transform method: Application to differential equations of fractional order
Odibat Z., Momani S., Ertürk V. S.
APPLIED MATHEMATICS AND COMPUTATION
, vol.197, no.2, pp.467-477, 2008 (SCI-Expanded)
2008
2008A numerical scheme for the solution of viscous Cahn-Hilliard equation
Momani S., Ertürk V. S.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
, vol.24, no.2, pp.663-669, 2008 (SCI-Expanded)
2008
2008Solutions to the problem of prey and predator and the epidemic model via differential transform method
Ertürk V. S., Momani S.
KYBERNETES
, vol.37, no.8, pp.1180-1188, 2008 (SCI-Expanded)
2008
2008Solving a system of fourth-order obstacle boundary value problems by differential transform method
Momani S., Ertürk V. S.
KYBERNETES
, vol.37, no.1-2, pp.315-325, 2008 (SCI-Expanded)
2007
2007Generalized differential transform method for solving a space-and time-fractional diffusion-wave equation
Momani S., Odibat Z., Erturk V. S.
PHYSICS LETTERS A
, vol.370, no.5-6, pp.379-387, 2007 (SCI-Expanded)
2007
2007A reliable algorithm for solving tenth-order boundary value problems
Erturk V. S., Momani S.
NUMERICAL ALGORITHMS
, vol.44, no.2, pp.147-158, 2007 (SCI-Expanded)
2001
2001A numerical study of wall-driven flow of a viscoelastic fluid in rectangular cavities
Demir H., Ertürk V. S.
Indian Journal of Pure and Applied Mathematics
, vol.32, no.10, pp.1581-1590, 2001 (SCI-Expanded)
Articles Published in Other Journals
2025
2025A comparative study for mathematical modelling of the contest of CAR-T and tumour cells in solid cancers using fractional- and integer-order derivatives
Kumar P., Ertürk V. S.
JOURNAL OF ANALYSIS
, vol.33, no.3, pp.1197-1209, 2025 (ESCI)
2024
2024A variable-order fractional mathematical model for the strategy to combat the atmospheric level of carbon dioxide
Kumar P., Ertürk V. S.
MODELING EARTH SYSTEMS AND ENVIRONMENT
, vol.10, no.3, pp.3529-3545, 2024 (ESCI)
2024
2024Two- dimensional coupled asymmetric van der Pol oscillator
Ertürk V. S., Rath B., Al-Khader T. M., Alshaikh N., Mallick P., Asad J.
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
, vol.17, no.2, pp.1254-1264, 2024 (ESCI)
2024
2024Solution of a dengue fever model via fractional natural decomposition and modified predictor-corrector methods
Kumar P., Gao W., Veeresha P., Ertürk V. S., Prakasha D. G., Baskonus H. M.
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING
, vol.15, no.1, 2024 (ESCI)
2023
2023A generalized Caputo-type fractional-order neuron model under the electromagnetic field
Kumar P., Erturk V. S., Tyagi S., Banas J., Manickam A.
International Journal of Dynamics and Control
, vol.11, no.5, pp.2179-2192, 2023 (Scopus)
2023
2023A novel study on a fractional-order heat conduction model for the human head by using the least-squares method
Kumar P., Ertürk V. S., Harley C.
International Journal of Dynamics and Control
, vol.11, no.3, pp.1040-1049, 2023 (Scopus)
2023
2023Dynamics of COVID-19 epidemic via two different fractional derivatives
Kumar P., Ertürk V. S., Govindaraj V., İNÇ M., Abboubakar H., Nisar K. S.
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING
, vol.14, no.3, 2023 (ESCI)
2022
2022Some novel analyses of two different Caputo-type fractional-order boundary value problems
Bekri Z., Ertürk V. S., Kumar P., Govindaraj V.
Results in Nonlinear Analysis
, vol.5, no.3, pp.299-311, 2022 (Scopus)
2022
2022A fractional mathematical modeling of protectant and curative fungicide application
Kumar P., Ertürk V. S., Govindaraj V., Kumar S.
Chaos, Solitons and Fractals: X
, vol.8, 2022 (Scopus)
2022
2022On the existence and uniqueness of a nonlinear q-difference boundary value problem of fractional order
Bekri Z., Ertürk V. S., Kumar P.
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING
, vol.13, no.01, 2022 (ESCI)
2021
2021Lassa hemorrhagic fever model using new generalized Caputo-type fractional derivative operator
Kumar P., Ertürk V. S., Yusuf A., Sulaiman T. A.
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING
, vol.12, no.06, 2021 (ESCI)
2021
2021Dynamics of cholera disease by using two recent fractional numerical methods
Kumar P., ERTÜRK V. S.
Mathematical Modelling and Numerical Simulation with Applications
, vol.1, no.2, pp.102-111, 2021 (Peer-Reviewed Journal)
2021
2021A mathematical study of a tuberculosis model with fractional derivatives
Abboubakar H., Kumar P., Ertürk V. S., Kumar A.
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING
, vol.12, no.04, 2021 (ESCI)
2021
2021A New Technique to Solve Generalized Caputo-type Fractional Differential Equations with the Example of Computer Virus Model
Kumar P., ERTÜRK V. S., Kumar A., İNÇ M.
JOURNAL OF MATHEMATICAL EXTENSION , vol.15, no.12, pp.1-23, 2021 (ESCI)
2020
2020Comparison of the method of variation of parameters to semi-analytical methods for solving nonlinear boundary value problems in engineering
Moore T. J., Ertürk V. S.
NONLINEAR ENGINEERING - MODELING AND APPLICATION
, vol.9, no.1, pp.1-13, 2020 (ESCI)
2019
2019Differential Transform Method for Solving a Boundary Value Problem Arising in Chemical Reactor Theory
ERTÜRK V. S., Chirko M. A.
MathLAB Journal , 2019 (Peer-Reviewed Journal)
2019
2019A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method
KELEŞ İ., ERTÜRK V. S.
European Mechanical Science
, vol.3, no.3, pp.118-124, 2019 (Peer-Reviewed Journal)
2016
2016Asymptotic Behavior of Different Controls of Hepatitis B virus
Zeb A., Sultan H., ERTÜRK V. S., Zaman G.
Neural, Parallel, and Scientific Computations , 2016 (Peer-Reviewed Journal)
2011
2011Differential transform method for solving singularly perturbed volterra integral equations
Doĝan N., Ertürk V. S., Momani S., Akin Ö., YILDIRIM A.
Journal of King Saud University - Science
, vol.23, no.2, pp.223-228, 2011 (Scopus)
2011
2011Computing eigenelements of sturm-liouville problems of fractional order via fractional differential transform method
Ertürk V. S.
Mathematical and Computational Applications
, vol.16, no.3, pp.712-720, 2011 (Scopus)
2009
2009Solutions of Different Types of the linear and Non-linear Higher-Order Boundary Value Problems by Differential Transformation Method
Hassan I. H. A., Ertürk V. S.
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
, vol.2, no.3, pp.426-447, 2009 (ESCI)
2008
2008Numerical solutions of two forms of Blasius equation on a half-infinite domain
Ertürk V. S., Momani S.
JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY
, vol.2, no.3, pp.359-370, 2008 (ESCI)
2008
2008Solution of Linear Twelfth-Order Boundary Value Problems by Using Differential Transform Method
Ertürk V. S.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
, vol.13, no.M08, pp.57-63, 2008 (ESCI)
2008
2008Differential transform technique for solving fifth-order boundary value problems
Ertürk V. S., Momani S.
Mathematical and Computational Applications
, vol.13, no.2, pp.113-121, 2008 (Scopus)
2007
2007Differential transformation method for solving differential equations of Lane-emden type
Ertürk V. S.
Mathematical and Computational Applications
, vol.12, no.3, pp.135-139, 2007 (Scopus)
1999
1999Peristaltic flow of a third-grade fluid in a planar channel
Akyildiz F., Demir H., Ertürk V. S.
Mathematical and Computational Applications
, vol.4, no.1, pp.113-120, 1999 (Scopus)
Papers Presented at Peer-Reviewed Scientific Conferences
2017
2017Runge-Kutta Method for Coulomb Potential in Schrödinger Equation
MUTUK H., GÜMÜŞ H., ERTÜRK V. S.
INTERNATIONAL WORKSHOP ON MATHEMATICAL METHODS IN ENGINEERING, 27 - 29 April 2017, (Summary Text)
2017
2017A nonlinear boundary value problem modeling corneal shape: a Green’s function fixed point iteration approach
ERTÜRK V. S.
the 22th seminar on mathematical analysis and its applications, 25 - 26 January 2017, (Full Text)
2016
2016A numerical approximation to the solution of the first Painlevé equation of fractional order
ERTÜRK V. S.
16th International Conference Computational and Mathematical Methods in Science and Engineering, 4 - 08 July 2016, (Full Text)
2015
2015Dynamical analysis of the Haavelmo growth cycle model with fractional derivative
Abbas S., ERTÜRK V. S.
International Conference on Differential & Difference Equations and Applications, 18 - 22 May 2015, (Summary Text)
2011
2011Recent Applications of Fractional Calculus in Mathematical Biology
Momani S., ERTÜRK V. S., Odibat Z.
asablanca International Workshop on Mathematical Biology: Analysis & Control, 20 - 24 June 2011, (Summary Text)
Funded Projects
2017 - 2023
2017 - 2023The 22th Seminar on Mathematical Analysis and Its Applications
Project Supported by Higher Education Institutions
Ertürk V. S. (Executive)
2016 - 2023
2016 - 2023Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
Project Supported by Higher Education Institutions
Ertürk V. S. (Executive)
2018 - 2019
2018 - 2019The International Conference on Fractional Differentiation and its Applications
Project Supported by Higher Education Institutions
Ertürk V. S. (Executive)
2018 - 2018
2018 - 2018FEDEK Akreditasyonu Kapsamında Matematik Bölümü Bilgisayar Laboratuvarının Yenilenmesi
Project Supported by Higher Education Institutions
Ertürk V. S. (Executive)
2017 - 2018
2017 - 2018Değişken katsayılı diferansiyel denklemlerin çözümü için yaklaşık bir metot
Project Supported by Higher Education Institutions
Ertürk V. S. (Executive)
2016 - 2016
2016 - 201616th Conference on Computational and Mathematical Methods in Science and Engineering
Project Supported by Higher Education Institutions
Ertürk V. S. (Executive)
2015 - 2015
2015 - 2015International Conference on Differential & Difference Equations and Applications 2015
Project Supported by Higher Education Institutions
Ertürk V. S. (Executive)
2015 - 2015
2015 - 2015