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Güncelleme4.07.2019 13:55:24

Doç.Dr ESRA KARATAŞ AKGÜL

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Fen Edebiyat Fakültesi Öğretim Üyesi

 

 

Doç. Dr.  ESRA KARATAŞ AKGÜL

 

1. Adı Soyadı              : ESRA KARATAŞ AKGÜL

2. Doğum Tarihi          : 16 / 10 / 1989

3. Unvanı                    :  Doçent

4.Öğrenim Durumu   :

 

 

Derece

 

Alan

 

Üniversite

 

 

 

Yıl

Lisans

Matematik

Fırat Üniversitesi

2007 / 2011

Y. Lisans

Uygulamalı Matematik

Fırat Üniversitesi

2011 / 2013

Doktora

Uygulamalı Matematik

Fırat Üniversitesi

2013 / 2017

 

5. Akademik Unvanlar

 

Yardımcı Doçentlik Tarihi      : 10 / 09 / 2017

Doçentlik Tarihi                       : 15/05/2019

Profesörlük Tarihi                   :

 

6. Yönetilen Yüksek Lisans ve Doktora Tezleri

6.1. Yüksek Lisans Tezleri

            1.   …

            2.   …

6.2. Doktora Tezleri

            1.   …

            2.   …

 

7. Yayınlar

7.1. Uluslararası hakemli dergilerde yayınlanan makaleler (SCI,SSCI,Artsand Humanities)

 

1)      Ali Akgül, Mustafa İnç, Esra Karatas, Dumitru Balenau, Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique, Advances in Difference Equations (1) 220, 2015.

 

2)      Ali Akgül, Mustafa İnç  Esra Karatas, Useful reproducing Kernel Functions for solving difference equations , DCDS-S8 (6), 2015.

 

 

3)       Mustafa İnç, Bülent Kiliç, Esra Karatas, On Soliton solutions of the Wu-Zhang system, Open Physics,  14 (1), 76-80, 2016.

 

4)      Mustafa İnç, Bülent Kiliç, Esra Karatas, Ali Akgül, Solitary wave solutions for the Sawada-Kotera equation, Journal ofJournal of advanced physics, 6 (2), 288-293, 2017.

 

 

5)      M.S. Hashemi, M. Inc, E. Karatas, A. Akgül, A numerical investigationon Burgers equation by MOL-GPS method, Journal of Advanced Physics, 6 (3), 413-417, 2017.

 

6)      Ali Akgül, Yasir Khan, Esra Karatas Akgül, Dumitru Baleanu, Maysaa Mohamed Al Qurashi, Solutions of Nonlinear Systems by Reproducing Kernel Method, Journal of Nonlinear Sciences and Applications (JNSA), 10, 4408-4417, 2017.

 

7)      Esra Karatas Akgül, Solutions of Nonlinear System of Differential Equations by Reproducing Kernel Hilbert Space Method, Journal of Advanced Physics, 7 (1), 1-8, 2018.

 

 

8)      Esra Karatas Akgül, A novel method for the space and time fractional Bloch-Torrey equations, Thermal Science,  22 (1), S253-S258, 2018.

 

9)      Adem Kılıcman, Yasir Khan, Ali Akgül, Naeem Faraz, Esra Karatas Akgul, Mustafa Inc, Analytic approximate solutions for fluid flow in the presence of heat and mass transfer, Thermal Science, 22 (1), S259-S264, 2018.

 

10)  Esra Karatas Akgül, Barış Örcan and Ali Akgül, Solving Higher-Order Fractional Differential Equations By Reproducing Kernel Hilbert Space Method, Journal of Advanced Physics, Journal of Advanced Physics, 7 (1), 98-102, 2018.

 

11)   Esra Karatas Akgül, Reproducing kernel Hilbert space method for solutions of a coefficient inverse problem for the kinetic equation, An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 8, 2, 145-151, 2018.

 

12)  Esra Karatas Akgül, Reproducing kernel Hilbert space method for nonlinear boundaryvalue problems, Mathematical Methods in the Applied Sciences, 41 (18), 9142-9151, 2018.

 

13)  Ali Akgül, Esra Karatas Akgül, Dumitru Balenau, Mustafa İnç, New Numerical Method for Solving Tenth Order Boundary Value Problems, Mathematics,  6 (11), 245,  2018.

 

14)  Esra Karatas Akgül, Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29 (2), 023108, 2019.

 

15)  Esra Karatas Akgül, Ali Akgül, Yasir Khan and Dumitru Baleanu, Representatıon For The Reproducıng Kernel Hılbert Space Method For A Nonlınear System, Hacettepe Journal of Mathematics and Statistics, 2019.

 

16)  M.S. Hashemi, M. İnç, E. Karatas, E Darvishi, Numerical treatment on one-dimensional hyperbolic telegraph equation by the method of line-group preserving scheme, The European Physical Journal Plus, 134 (4), 153 , 2019.

      17) Fazlollah Soleymani, Ali Akgül, Esra Karatas Akgül, On an improved computational solution for the 3D HCIR PDE in finance, An. St. Univ. Ovidius Constant, 10.2478/auom-                2019-0042.

 

18) Ali Akgül, Esra Karatas AkgülA Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems, Fractal and Fractional, 2019.

           

7.2. Uluslararası diğer hakemli dergilerde yayınlanan makaleler

            1.   …

            2.   …

7.3. Uluslararası bilimsel toplantılarda sunulan ve bildiri kitabında basılan bildiriler

 

  1.  Esra Karataş “International Workshop on Boundary Value Problems. 2014”

 

  2.  Esra Karataş, Mustafa Inc “Soliton Solutions of the Sawada-Kotera Equation by Hirota

Bilinear Method.”International Congress in Honour of Professor Ravi P. Agarwal. June 23

26, 2014, Uludağ University, Bursa.

 

  3.  Esra Karatas, Mustafa Inc “On Soliton Solutions of the Kaup-Boussinesq Equation by Hirota Bilinear Method.” International Conference on Advances in Applied Mathematicsand Mathematical Phiysics. August 19-21, 2014, Yıldız Technical University, Istanbul.

 

  4.  Esra Karatas, Mustafa Inc, M.Sajjad Hashemi “Group preserving scheme for the Burgers equation.” ICNAAM 2016. September 19-25, 2016, Rodos Palace Hotel, Rhodes, Greece.

 

  5.  Esra Karatas, Mustafa Inc, M.S. Hashemi, “A geometric approach for the one-dimensional hyperbolic telegraph equation.” International Conference on Mathematics and Mathematics Education (ICMME- 2016). May 12-14, 2016, Fırat University, Elazığ.

 

  6.  Ali Akgül, Esra Karatas Akgül, Yavuz Dinc “Reproducing Kernel Method for Nonlinear Systems of Higher Order Boundary Value Problems.” The 22th Seminar on Mathematical Analysis and its Applications. January 25-26, 2017 University of Bonab, İran.

 

  7.  Esra Karatas, Mustafa Inc, M.Sajjad Hashemi “A numerical investigation on Burgers equation by Mol-GPS method.” The International Workshop on Mathematical Methods in Engineering (MME-2017). April 27-29, 2017, Çankaya University, Ankara.

 

  8.  Ali Akgül, Esra Karatas, Salar Ameen Raheem, “Solutions of Nonlinear Differential Equations by Reproducing Kernel Method and Group Preserving Scheme” The International Workshop on Mathematical Methods in Engineering (MME-2017). April 27-29, 2017, Çankaya University, Ankara.

 

  9.  Ali Akgül, Esra Karatas, Idrees Sedeeq Mustafa, “Solutions of Initial Value Problems by

Reproducing Kernel Method and Group Preserving Scheme” The International Workshop on

Mathematical Methods in Engineering (MME-2017). April 27-29, 2017, Çankaya University, Ankara.

 

  10.  Esra Karatas, Mustafa Inc, Mir Sajjad Hashemi, “A Geometric Approach for the One-Dimensional Hyperbolic Telegraph Equation with Variable Coefficients.” International Conference on Mathematicsand Mathematics Education. (ICMME 2017). Harran University 11—13 May 2017.

 

  11.  Ali Akgül, Yasir Khan, Esra Karatas, “Comparison on Solving a Class of Nonlinear Systems of Partial Differential Equations.” International Conference on Mathematicsand Mathematics Education. (ICMME 2017) ). Harran University 11—13 May 2017.

 

  12.  Ali Akgül and Esra Karatas, Some Open Problems in the Reproducing Kernel Method, International Conference on Mathematical Modelling in Applied Sciences, ICMMAS’17 , 39, SPbPU, Saint Petersburg-Russia, during July 24-28, 2017.

 

   13. M.S. Hashemi, Z Balmeh, A Akgül, EK Akgül, D Baleanu, Invariant investigation on the system of Hirota-Satsuma coupled KdV equation, AIP Conference Proceedings, 1978 (1), 130003, 2018.

    

   14.  Ali Akgül, Esra Karatas Akgül, Dumitru Balenau , Reproducing kernel method for strongly non-linear equation, AIP Conference Proceedings, 1978 (1), 130002, 2018.

 

    15. Yasir Khan, Ali Akgül, Naeem Faraz, Mustafa Inc, Esra Karatas Akgül, Dumitru Baleanu, A homotopy perturbation solution for solving highly nonlinear fluid flow problem arising in mechanical engineering, AIP Conference Proceedings, 1978 (1), 130004, 2018.

 

   16. Ali Akgül, Esra Karatas Akgül, Sahin Korhan, Reproducing kernel functions for the generalized Kuramoto-Sivashinsky equation, ITM Web of Conferences, 22, 01028, 2018.

 

   17. Ali Akgül, Esra Karatas Akgül, Baris Orcan, Reproducing kernel functions for linear tenth-order boundary value problems, ITM Web of Conferences, 22, 01027, 2018.

 

 

 

7.4. Yazılan uluslararası kitaplar veya kitaplarda bölümler

           

1.       Ali Akgül, Esra Karatas Akgül, Reproducing Kernel Functions, Differential Equations-Theory and Current Research, 2018.

2.       Ali Akgül, Esra Karatas Akgül,  Yasir Khan, Dumitru Baleanu, Solving the Nonlinear System of Third-Order Boundary Value, Mathematical Methods in Engineering: Applications in Dynamics of Complex Systems, 2018.

3.       Ali Akgül, Esra Karatas Akgül,  Yasir Khan, Dumitru Baleanu, Comparison on Solving a      

Class of Nonlinear Systems of Partial Differential Equations and Multiple Solutions of Second Order Differential Equations, Mathematical Methods in Engineering, 2019.

 

 

7.5. Ulusal hakemli dergilerde yayınlanan makaleler

            1.   …

            2.   …

7.6. Ulusal bilimsel toplantılarda sunulan ve bildiri kitabında basılan bildiriler

           

1.   Esra Karataş, Mustafa Inc, “Bernoulli ve Riccatti diferansiyel denklemlerinin Adomian ayrışım metodu ile sayısal çözümleri.” Fırat Üniversitesi Matematik Bölümü Öğrenci Çalıştayı. Elazığ Fırat Üniversitesi, 2011.

 

 

7.7. Diğer yayınlar

            1.   …

            2.   …

 

8.Projeler

            1.  2018-SİÜEĞT-044 [D16]  Diferansiyel Denklemlerin Yeni Sayısal Metotlarla Yaklaşık Çözümleri 27/11/2018 - 

            2.   …

 

9.İdari Görevler

             

 

 

10.Bilimsel ve Mesleki Kuruluşlara Üyelikler

             

 

 

 

11.Ödüller

 

            1.  TUBİTAK yurt içi doktora bursu  ( 2013-2017 )

             2.  Akademik Teşvik, Siirt Üniversitesi   ( 2018 )

           

 

12.Son iki yılda verdiğiniz lisans ve lisansüstü düzeydeki dersler için aşağıdaki tabloyu doldurunuz.

 

Akademik

Yıl

Dönem

Dersin Adı

Haftalık Saati

Öğrenci Sayısı

Teorik

Uygulama

 

 

ÖN LİSANS

 

2016-2017

 

 

Güz

Matematik I,

Mesleki Matematik,

Meslek Etiği,

Fizik,

 

3

2

 

2

2

 

100

75

 

75

100

 

 

Bahar

 

Ticari Matematik,

İletişim,

Matematik II,

 

2

 

2

3

 

75

 

75

100

 

 

LİSANS

 

2017-2018

 

Güz

Analiz I,

Analiz III,

Genel Matematik I,

Öğretmenlik Uygulaması,

Okul Deneyimi,

 

4

3

4

2

40

60

95

 

Bahar

Soyut Matematik,

Diferansiyel Denklemler,

Okul Deneyimi,

 

 

3

4

 

70

30

 

LİSANS

 

2018-2019

 

Güz

Analiz III,

Lineer Cebir I,

Öğretmenlik Uygulaması,

Okul Deneyimi,

 

 

3

3

 

46

62

Bahar

------

 

 

 

 

 

 

YÜKSEK LİSANS

 

2018-2019

 

 

 

 

Güz

Kısmi Diferansiyel Denklemler I,

Fourier Analizi,

İntegral Denklemler,

Varyasyonal Hesap,

İntegral Denklemlerin Nümerik Çözümleri,

Yüksek Lisans Tez Hazırlık,

Uzmanlık Alan Dersi,

 

4

 

3

3

3

3

 

1

8

 

9

 

4

5

4

4

 

1

1

 

 

Not: Açılmışsa, yaz döneminde verilen dersler de tabloya ilave edilecektir.

 

 

 

 

 

 

 

 

Güncelleme : 23.11.2019 21:22:27