Personnel

Profesör Doktor İLKNUR KOCA
Profesör Doktor
İlknur Koca
@ E-mail
ilknurkoca@mu.edu.tr
Phone
0252 211 2110

Staff of

Place of Duty

Fethiye İşletme Fakültesi / Ekonomi Ve Finans Bölümü / Ekonomi Ve Finans Anabilim Dalı

Regular Staff

Fethiye İşletme Fakültesi / Ekonomi Ve Finans Bölümü / Ekonomi Ve Finans Anabilim Dalı

Education

Bachelor's Degree

Ankara Üniversitesi Fen Fakültesi Matematik 2007

Master's Degree

Ankara Üniversitesi Fen Fakültesi Uygulamalı Matematik 2009

Doctorate

Ankara Üniversitesi Fen Fakültesi Uygulamalı Matematik 2013

Academic Publishing

(A-1) Articles published in journals indexed by SCI or SCI Expanded, SSCI, AHCI

1-) Atangana Abdon, Koca İlknur, 2023. Analytical and numerical investigation of the Hindmarsh-Rose model neuronal activity. American Institute of Mathematical Sciences (AIMS)
2-) Koca İlknur, 2023. Financial model with chaotic analysis. Elsevier BV
3-) Koca İlknur, Atangana Abdon, 2022. SOME CHAOTIC MATHEMATICAL MODELS WITH STOCHASTIC RESETTING. World Scientific Pub Co Pte Ltd
4-) Koca İlknur, Atangana Abdon, 2022. Modeling the Spread of Tuberculosis with Piecewise Differential Operators. Computers, Materials and Continua (Tech Science Press)
5-) Akçetin Eyüp, Koca İlknur, Kılıç Muhammet Burak, 2021. New Analysis and Application of Fractional Order Schrodinger Equation Using with Atangana-Batogna Numerical Scheme. Numerical Methods for Partial Differential Equations
6-) Koca İlknur, Alkahtanı Bst, 2021. Fractional stochastic sır model. Results in Physics
7-) Alkahtani Badr Saad T, Koca İlknur, 2020. A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel. Discrete Continuous Dynamical Systems - S
8-) Uçar Sümeyra, Özdemir Necati, Koca İlknur, Altun Eren, 2020. Novel analysis of the fractional glucose–insulin regulatory system with non-singular kernel derivative. European Physical Journal Plus
9-) Koca İlknur, 2019. Numerical analysis of coupled fractional differential equations with Atangana-Baleanu fractional derivative. Discrete and Continuous Dynamical Systems-Series S
10-) Koca İlknur, 2019. Modeling the heat flow equation with fractional-fractal differentiation. Chaos, Solitons Fractals
11-) Koca İlknur, 2018. Efficient numerical approach for solving fractional partial differential equations with non-singular kernel derivatives. Chaos, Solitons Fractals
12-) Koca İlknur, 2018. Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators. The European Physical Journal Plus
13-) Alkahtani Badr Saad T, Atangana Abdon, Koca İlknur, 2017. New nonlinear model of population growth. PLOS ONE
14-) Alkahtani Badr Saad T, Koca İlknur, Atangana Abdon, 2017. Analysis of a new model of H1N1 spread: Model obtained via Mittag-Leffler function. Advances in Mechanical Engineering
15-) Koca İlknur, Atangana Abdon, 2017. Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives. Thermal Science
16-) Alkahtani Badr Saad T, Koca İlknur, Atangana Abdon, 2017. New numerical analysis of Riemann-Liouville time-fractional Schrödinger with power, exponential decay, and Mittag-Leffler laws. Journal of Nonlinear Sciences and Applications
17-) Atangana Abdon, Koca İlknur, 2017. Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel. Fundamenta Informaticae
18-) Alkahtani Badr Saad T, Atangana Abdon, Koca İlknur, 2017. Numerical analysis for the Klein-Gordon equation with mass parameter. Advances in Difference Equations
19-) Alkahtani Badr Saad T, Atangana Abdon, Koca İlknur, 2017. Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators. Journal of Nonlinear Sciences and Applications
20-) Alkahtani Badr Saad T, Atangana Abdon, Koca İlknur, 2016. Huge analysis of Hepatitis C model within the scope of fractional calculus. Journal of Nonlinear Science and Applications
21-) Atangana Abdon, Koca İlknur, 2016. Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order. Chaos, Solitons Fractals
22-) Alkahtani Badr Saad T, Atangana Abdon, Koca İlknur, 2016. A new nonlinear triadic model of predator-prey based on derivative with non-local and non-singular kernel. Advances in Mechanical Engineering
23-) Atangana Abdon, Koca İlknur, 2016. On the new fractional derivative and application to nonlinear Baggs and Freedman model. journal of nonlinear sciences and applications
24-) Alkahtani Badr Saad T, Koca İlknur, Atangana Abdon, 2016. A novel approach of variable order derivative:Theory and Methods. Journal of Nonlinear Science and Applications
25-) Koca İlknur, 2015. A method for solving differential equations of q fractional order. Applied Mathematics and Computation
26-) Koca İlknur, Özalp Nuri, 2013. Analysis of a Fractional Order Couple Model with Acceleration in Feelings. The Scientific World Journal
27-) Özalp Nuri, Koca İlknur, 2012. A fractional order nonlinear dynamical model of interpersonal relationships. Advances in Difference Equations

(A-5) Articles published in journals indexed by international indexes other than SCI or SCI Expanded, SSCI, AHCI

1-) Yaprakdal Pelin, Uzun Kıvanç, Koca İlknur, 2023. The effect of fractional order mathematical modelling for examination of academic achievement in schools with stochastic behaviors. International Journal of Optimization and Control: Theories and Applications
2-) Koca İlknur, Atangana Abdon, 2023. Analysis of a COVID-19 model with nonlocal and stochastic behaviors. Informa UK Limited
3-) Koca İlknur, Atangana Abdon, 2023. Theoretical and numerical analysis of a chaotic model with nonlocal and stochastic differential operators. International Journal of Optimization and Control: Theories and Applications
4-) Koca İlknur, Bulut Hasan, Akçetin Eyüp, 2021. A different approach for behavior of fractional plant virus model. Journal of Nonlinear Sciences and Applications
5-) Koca İlknur, Akçetin Eyüp, Yaprakdal Pelin, 2020. Numerical Approximation for the Spread of SIQR Model with Caputo Fractional Order Derivative. TURKISH JOURNAL OF SCIENCE
6-) Koca İlknur, Yaprakdal Pelin, 2020. A new approach for nuclear family model with fractional order Caputo derivative. Applied Mathematics and Nonlinear Sciences
7-) Koca İlknur, 2018. Analysis of rubella disease model with non-local and non-singular fractional derivatives. An International Journal of Optimization and Control: Theories Applications (IJOCTA)
8-) Atangana Abdon, Koca İlknur, 2017. New direction in fractional differentiation. Mathematics in Natural Science
9-) Açıkgöz Mehmet, Koca İlknur, Aracı Serkan, 2016. The Evaluation of the Sums of More General Series by Bernstein Polynomials. Journal of Analysis & Number Theory
10-) Koca İlknur, Atangana Abdon, 2016. ANALYSIS OF A NONLINEAR MODEL OF INTERPERSONAL RELATIONSHIPS WITH TIME FRACTIONAL DERIVATIVE. Journal of Mathematical Analysis
11-) Koca İlknur, Demirci Hamamcıoğlu Elif, 2016. On Local Asymptotic Stability of q Fractional Nonlinear Dynamical Systems. Applications and Applied Mathematics: An International Journal
12-) Koca İlknur, Özalp Nuri, 2014. On a fractional order nonlinear dynamic model of a triadic relationship. Journal of Advances in Mathematics
13-) Koca İlknur, 2014. Mathematical modeling of nuclear family and stability analysis. Applied Mathematical Sciences

(B-1) Papers verbally presented or published in scientific and art meetings like international conferences, symposiums, panels, and workshops

1-) Koca İlknur, 2022. Analysis of the Academic Achievement Considering by Fractional Order Metapopulation Modelling. ICOLES 2022
2-) Koca İlknur, 2022. Analysis of a Covid-19 Model with Piecewise Derivative Modelling. ICOLES 2022
3-) Koca İlknur, 2022. Mathematical Modelling of Viral Dynamics in Oysters with Fractional Order Approach. ICOLES 2022
4-) Koca İlknur, Yaprakdal Pelin, 2019. On a fractional order differential equations and SITR model. CMESS 2019
5-) Şekerli Eyüp Bayram, Koca İlknur, Akçetin Eyüp, Karakaplan Büşra, 2019. Çok Kriterli Karar Verme Yöntemlerinden MOORA İle İstanbul Ve Frankfurt Havalimanlarının Kıyaslanması. ULUSLARARASI BÖLGESEL KALKINMA KONFERANSI PROGRAMI 2019
6-) Koca İlknur, 2019. A work on a multiple chaotic systems. Cmess 2019

(B-2)

1-) Koca İlknur, 2021. A seaırd pandemic prediction model with fractional differential operator with analysis and numerical scheme. CMESS 2021
2-) Koca İlknur, Yaprakdal Pelin, 2019. Mathematical analysis of the spread of SIQR model with Caputofractional order derivative. ICMME
3-) Koca İlknur, 2018. CMES-2018. CMES-2018
4-) Koca İlknur, 2017. A New Analysis for Fractional Order Ebola Model with Non-local and Non-singular Kernel. IECMSA-2017
5-) Koca İlknur, 2016. Lorenz Modeline Kesirli Basamaktan Yeni Bir Yaklaşım. 11. Ankara Matematik Günleri
6-) Koca İlknur, 2016. On the new fractional derivative and application to nonlinear H1N1 model. ICMME-2016/ International Conferance on Mathematics and Mathematics Education
7-) Koca İlknur, 2015. Analysis of Hepatitis C model within the scope of fractional calculus. ICAAMM 2015
8-) Koca İlknur, Özalp Nuri, 2013. On a Fractional order Nonlinear Dynamic Model of a Triadic Relationship. ICAAMM2013
9-) Koca İlknur, Özalp Nuri, 2012. A Fractional Order Nonlinear Dynamical Model. IECMSA-2012
10-) Koca İlknur, Özalp Nuri, 2012. A fractional Order Nonlinear Dynamical Model of Interpersonal Relationships. ICAAA2012

(B-5)

1-) Koca İlknur, Özalp Nuri, 2012. Kesirli Basamaktan Lineer Bir Model Üzerine. 2. Öğrenci Çalıştayı

(C-3) Book Chapters published by publishing houses internationally renowned in the relevant field

1-) Koca İlknur, Atangana Abdon, 2019. Fractional Derivatives with Mittag-Leffler Kernel/Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System. Yayın Evi: Springer Editör Adı: Ilknur koca and Abdon Atangana
2-) Atangana Abdon, Koca İlknur, 2017. Advances in Real and Complex Analysis with Applications/On Uncertain-Fractional Modeling:The FutureWay of Modeling Real-WorldProblems. Yayın Evi: Springer Nature Singapore L.T.D Editör Adı: Ruzhansky, M.V., Cho, Y.J., Agarwal, P., Area, I. (Eds.)

(D-10) Hakemlikler

1-) Chaos Solutions and Fractals. 2020. Hakemlik Sayısı: 5
2-) Numerical Methods For Partial Differential Equations. 2020. Hakemlik Sayısı: 2

(D-5) Editörlükler

1-) Editörlük Türü: Dergi. 2021. Special Issue: Fractional stochastic processes and applications to real world.
2-) Editörlük Türü: Dergi. 2019. World Scientific.
3-) Editörlük Türü: Dergi. 2019. Frontiers in Applied Mathematics and Statistics and Physics..

(E-1)

1-) Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order - Atıf Yılı: 2023 Atıf Sayısı: 41
2-) A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel - Atıf Yılı: 2022 Atıf Sayısı: 3
3-) Analytical and numerical investigation of the Hindmarsh-Rose model neuronal activity - Atıf Yılı: 2022 Atıf Sayısı: 3
4-) Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators - Atıf Yılı: 2022 Atıf Sayısı: 71
5-) Efficient numerical approach for solving fractional partial differential equations with non-singular kernel derivatives - Atıf Yılı: 2022 Atıf Sayısı: 8
6-) Fractional Derivatives with Mittag-Leffler Kernel/Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System - Atıf Yılı: 2022 Atıf Sayısı: 2
7-) Numerical analysis of coupled fractional differential equations with Atangana-Baleanu fractional derivative - Atıf Yılı: 2022 Atıf Sayısı: 6
8-) Modeling the heat flow equation with fractional-fractal differentiation - Atıf Yılı: 2022 Atıf Sayısı: 16
9-) A new approach for nuclear family model with fractional order Caputo derivative - Atıf Yılı: 2022 Atıf Sayısı: 8
10-) Numerical Approximation for the Spread of SIQR Model with Caputo Fractional Order Derivative - Atıf Yılı: 2022 Atıf Sayısı: 8
11-) Novel analysis of the fractional glucose–insulin regulatory system with non-singular kernel derivative - Atıf Yılı: 2022 Atıf Sayısı: 11
12-) New Analysis and Application of Fractional Order Schrodinger Equation Using with Atangana-Batogna Numerical Scheme - Atıf Yılı: 2022 Atıf Sayısı: 2
13-) Fractional stochastic sır model - Atıf Yılı: 2022 Atıf Sayısı: 8
14-) Modeling the Spread of Tuberculosis with Piecewise Differential Operators - Atıf Yılı: 2022 Atıf Sayısı: 3
15-) A fractional order nonlinear dynamical model of interpersonal relationships - Atıf Yılı: 2022 Atıf Sayısı: 19
16-) Analysis of a Fractional Order Couple Model with Acceleration in Feelings - Atıf Yılı: 2022 Atıf Sayısı: 3
17-) A method for solving differential equations of q fractional order - Atıf Yılı: 2022 Atıf Sayısı: 19
18-) On the new fractional derivative and application to nonlinear Baggs and Freedman model - Atıf Yılı: 2022 Atıf Sayısı: 77
19-) ANALYSIS OF A NONLINEAR MODEL OF INTERPERSONAL RELATIONSHIPS WITH TIME FRACTIONAL DERIVATIVE - Atıf Yılı: 2022 Atıf Sayısı: 8
20-) On Local Asymptotic Stability of q Fractional Nonlinear Dynamical Systems - Atıf Yılı: 2022 Atıf Sayısı: 3
21-) A novel approach of variable order derivative:Theory and Methods - Atıf Yılı: 2022 Atıf Sayısı: 28
22-) Huge analysis of Hepatitis C model within the scope of fractional calculus - Atıf Yılı: 2022 Atıf Sayısı: 5
23-) Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives - Atıf Yılı: 2022 Atıf Sayısı: 40
24-) Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order - Atıf Yılı: 2022 Atıf Sayısı: 579
25-) A new nonlinear triadic model of predator-prey based on derivative with non-local and non-singular kernel - Atıf Yılı: 2022 Atıf Sayısı: 9
26-) Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel - Atıf Yılı: 2022 Atıf Sayısı: 21
27-) Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators - Atıf Yılı: 2022 Atıf Sayısı: 36
28-) Analysis of a new model of H1N1 spread: Model obtained via Mittag-Leffler function - Atıf Yılı: 2022 Atıf Sayısı: 20
29-) New numerical analysis of Riemann-Liouville time-fractional Schrödinger with power, exponential decay, and Mittag-Leffler laws - Atıf Yılı: 2022 Atıf Sayısı: 4
30-) New nonlinear model of population growth - Atıf Yılı: 2022 Atıf Sayısı: 3
31-) Numerical analysis for the Klein-Gordon equation with mass parameter - Atıf Yılı: 2022 Atıf Sayısı: 3
32-) Analysis of rubella disease model with non-local and non-singular fractional derivatives - Atıf Yılı: 2022 Atıf Sayısı: 80

(E-3)

1-) Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators - Atıf Yılı: 2022 Atıf Sayısı: 3
2-) Analysis of rubella disease model with non-local and non-singular fractional derivatives - Atıf Yılı: 2022 Atıf Sayısı: 20
3-) New nonlinear model of population growth - Atıf Yılı: 2022 Atıf Sayısı: 2
4-) New direction in fractional differentiation - Atıf Yılı: 2022 Atıf Sayısı: 40
5-) Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators - Atıf Yılı: 2022 Atıf Sayısı: 11
6-) Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel - Atıf Yılı: 2022 Atıf Sayısı: 10
7-) A new nonlinear triadic model of predator-prey based on derivative with non-local and non-singular kernel - Atıf Yılı: 2022 Atıf Sayısı: 13
8-) Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order - Atıf Yılı: 2022 Atıf Sayısı: 229
9-) Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives - Atıf Yılı: 2022 Atıf Sayısı: 55
10-) A novel approach of variable order derivative:Theory and Methods - Atıf Yılı: 2022 Atıf Sayısı: 5
11-) On Local Asymptotic Stability of q Fractional Nonlinear Dynamical Systems - Atıf Yılı: 2022 Atıf Sayısı: 2
12-) ANALYSIS OF A NONLINEAR MODEL OF INTERPERSONAL RELATIONSHIPS WITH TIME FRACTIONAL DERIVATIVE - Atıf Yılı: 2022 Atıf Sayısı: 4
13-) On the new fractional derivative and application to nonlinear Baggs and Freedman model - Atıf Yılı: 2022 Atıf Sayısı: 40
14-) On a fractional order nonlinear dynamic model of a triadic relationship - Atıf Yılı: 2022 Atıf Sayısı: 2
15-) A method for solving differential equations of q fractional order - Atıf Yılı: 2022 Atıf Sayısı: 9
16-) Analysis of a Fractional Order Couple Model with Acceleration in Feelings - Atıf Yılı: 2022 Atıf Sayısı: 13
17-) A different approach for behavior of fractional plant virus model - Atıf Yılı: 2022 Atıf Sayısı: 3
18-) Analytical and numerical investigation of the Hindmarsh-Rose model neuronal activity - Atıf Yılı: 2022 Atıf Sayısı: 1
19-) A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel - Atıf Yılı: 2022 Atıf Sayısı: 1
20-) A new approach for nuclear family model with fractional order Caputo derivative - Atıf Yılı: 2022 Atıf Sayısı: 10
21-) Modeling the heat flow equation with fractional-fractal differentiation - Atıf Yılı: 2022 Atıf Sayısı: 7
22-) Numerical analysis of coupled fractional differential equations with Atangana-Baleanu fractional derivative - Atıf Yılı: 2022 Atıf Sayısı: 6
23-) A fractional order nonlinear dynamical model of interpersonal relationships - Atıf Yılı: 2022 Atıf Sayısı: 32
24-) Novel analysis of the fractional glucose–insulin regulatory system with non-singular kernel derivative - Atıf Yılı: 2022 Atıf Sayısı: 10

(E-4)

1-) Fractional Derivatives with Mittag-Leffler Kernel/Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System - Atıf Yılı: 2022 Atıf Sayısı: 1
2-) Numerical Approximation for the Spread of SIQR Model with Caputo Fractional Order Derivative - Atıf Yılı: 2022 Atıf Sayısı: 10
3-) Mathematical modeling of nuclear family and stability analysis - Atıf Yılı: 2022 Atıf Sayısı: 10

(E-6)

1-) Advances in Real and Complex Analysis with Applications/On Uncertain-Fractional Modeling:The FutureWay of Modeling Real-WorldProblems - Atıf Yılı: 2022 Atıf Sayısı: 1

(F-2) Administered graduate dissertations

1-) Tez Adı: Kesirli basamaktan diferensiyel denklemler ve SITR modeli üzerine. Konu: Kesirli Basamaktan Modelleme. PELİN-YAPRAKDAL. 2019

(Ğ-2) National scientific awards in related field

1-) Kurum Adı: . Yayın Teşvik Ödülü. 2018

Courses

EKF1003 2024-2025 Güz Öğrenim Öncesi Tanınan Dersler

Ekonomi ve Finans Matematiği I

İŞL1001 2024-2025 Güz Öğrenim Öncesi Tanınan Dersler

İşletme Matematiği I

İŞL1833 2024-2025 Güz Öğrenim Öncesi Tanınan Dersler

İşletme Matematiği I

İŞL2002 2024-2025 Güz Öğrenim Öncesi Tanınan Dersler

İşletme İstatiği II

İŞL2820 2024-2025 Güz Öğrenim Öncesi Tanınan Dersler

İşletme İstatistiği II

MAT1827 2024-2025 Güz Öğrenim Öncesi Tanınan Dersler

Matematik

UTL1005 2024-2025 Güz Öğrenim Öncesi Tanınan Dersler

İşletme Matematiği

EKF 5521 2024-2025 Güz

Karar Alma Modelleri

EKF1003 2024-2025 Güz

Ekonomi ve Finans Matematiği I

İŞL1001 2024-2025 Güz

İşletme Matematiği I

İŞL1833 2024-2025 Güz

İşletme Matematiği I

MAT1827 2024-2025 Güz

Matematik

İŞL1842 2023-2024 Bahar

İşletme Matematiği II

İŞL2002 2023-2024 Bahar

İşletme İstatiği II

MFY1014 2023-2024 Bahar

Finans Matematiği II

MFY2004 2023-2024 Bahar

İstatistik

İŞL1841 2023-2024 Güz

İşletme Matematiği I

İŞL2819 2023-2024 Güz

İşletme İstatistiği I

MAT1827 2023-2024 Güz

Matematik

MFY1011 2023-2024 Güz

Finans Matematiği I

SHB3003 2023-2024 Güz

Sosyal Hizmette İstatistik

İŞL1842 2022-2023 Bahar

İşletme Matematiği II

MFY1014 2022-2023 Bahar

Finans Matematiği II

MFY2004 2022-2023 Bahar

İstatistik

MFY2008 2022-2023 Bahar

Meslek Stajı I

MFY3004 2022-2023 Bahar

Üretim Yönetimi

MFY3006 2022-2023 Bahar

Araştırma Yöntemleri

MFY3010 2022-2023 Bahar

Meslek Stajı II

SHB2020 2022-2023 Bahar

Araştırma Yöntem ve Teknikleri

MFY1011 2022-2023 Güz

Finans Matematiği I

MFY3513 2022-2023 Güz

Finansal Modelleme

SHB3003 2022-2023 Güz

Sosyal Hizmette İstatistik