Dr. Haydar Akca
My Social Links

Dr. Haydar Akca

Professor
Abu Dhabi University, UAE

Highest Degree
Ph.D. in Functional Differential Equations from Inonu University, Turkiye

Share this Profile

Biography

Dr. Haydar Akca holds a position of Professor in Applied Mathematics, Abu Dhabi University College of Arts and Sciences, Department of Applied Sciences and Mathematics. He has completed his Ph.D. in Functional Differential Equations, Inonu University, Faculty of Arts and Science, Department of Mathematics and partially in Helsinki University of Technology Institute of Mathematics, Finland in 1983. Previously he was appointed as Visiting Professor in Applied Mathematics, King Fahd University of Petroleum & Minerals, faculty of Science, Department of Mathematics and Statistics, Dhahran, Saudi Arabia, Professor at Akdeniz University, Visiting Professor at Eastern Mediterranean University, Assistant Professor Erciyes University, Kayseri, and Research Assistant at Inonu University, Malatya, and Computer Programmer at Ministry of National Education, Ankara. He has completed 15 funded research projects. His main area of research interest focuses on Functional Differential Equations, Asymptotic Theory, Oscillation Theory for ODE, Mathematical Modelling Using Differential Difference Equations, Approximate Solutions of Differential Equations using, Spline Functions, Difference Equations, and Wavelets and its Applications. He is editor in chief for International Journal of Applied Physics and Mathematics, International Journal: Mathematical Manuscripts, International Journal of Applied Mathematics & Statistics, International Journal of Mathematics and Computation, Associate Editor Journal of Applied Mathematics and Computing and editor for International Journal of Mathematics and Statistics. He is member of editorial board and reviewer for number of journals. Dr. Haydar received honors includes Lifetime Achievement Scientist Award Science, Abu Dhabi University Research Award for the Academic Year 2014-2015, and The British Council Research Grant, Birmingham. He also attended number conferences and seminars. He has supervised 14 graduate thesis. He has published 110 research articles in journals contributed as author/co-author.

Area of Interest:

Mathematics
100%
Functional Differential Equations
62%
Asymptotic Theory
90%
Mathematical Modeling
75%
Wavelets
55%

Research Publications in Numbers

Books
0
Chapters
0
Articles
0
Abstracts
0

Selected Publications

  1. Alzahrani, E.A., H. Akca and X. Li, 2016. New synchronization schemes for delayed chaotic neural networks with impulses. Nat. Comput. Applic. 10.1007/s00521-016-2218-7.
    CrossRef  |  
  2. Akca, H., G.E. Chatzarakis and I.P. Stavroulakis, 2016. An oscillation criterion for delay differential equations with several non-monotone arguments. Applied Math. Lett., 59: 101-108.
    CrossRef  |  Direct Link  |  
  3. Li, X., J. Shen, H. Akca and R. Rakkiyappan, 2015. LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter. Applied Math. Comput., 250: 798-804.
    CrossRef  |  Direct Link  |  
  4. Li, X., D. O'Regan and H. Akca, 2015. Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. IMA J. Applied Math., 80: 85-99.
    CrossRef  |  Direct Link  |  
  5. Akca, H., V. Covachev and Z. Covacheva, 2015. Global asymptotic stability of cohen-grossberg neural networks of neutral type. J. Math. Sci., 205: 719-732.
    CrossRef  |  Direct Link  |  
  6. Akca, H., V. Covachev and Z. Covacheva, 2015. Existence of a mild solution to a second-orderimpulsive functional-differential equation with a nonlocal condition. Pliska Studia Math., 25: 101-110.
  7. Stamova, I., H. Akca and G. Stamov, 2014. Uncertain dynamical systems 2014. Abstract Applied Anal., Vol. 2014. 10.1155/2014/746741.
    CrossRef  |  
  8. Liua, C., X. Lia and H. Akca, 2014. Globally exponential stability of impulsive switched systems with continuously distributed delays. Universal J. Math. Math. Sci., 5: 77-92.
    Direct Link  |  
  9. Akca, H., J. Benbourenane and V. Covachev, 2014. Global exponential stability of impulsive cohen-grossberg-type BAM neural networks with time-varying and distributed delays. Int. J. Applied Phys. Math., 4: 196-200.
    Direct Link  |  
  10. Stamov, G., H. Akca and I. Stamova, 2013. Uncertain dynamical systems: Analysis and applications. Abstract Applied Anal., Vol. 2013. 10.1155/2013/863060.
    CrossRef  |  
  11. Li, X., H. Akca and X. Fu, 2013. Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions. Applied Math. Comput., 219: 7329-7337.
    CrossRef  |  Direct Link  |  
  12. Fu, X., X. Li and H. Akca, 2013. Exponential state estimation for impulsive neural networks with time delay in the leakage term. Arabian J. Math., 2: 33-49.
    CrossRef  |  Direct Link  |  
  13. Akca, H., V. Covachev and Z. Covacheva, 2013. Improved stability estimates for impulsive reaction-diffusion cohen-grossberg neural networks via hardy-poincare inequality. Tatra Mt. Math. Publ., 54: 1-18.
  14. Akca, H., J. Benbourenane and V. Covachev, 2013. Impulsive delay reaction-diffusion cohen-grossberg neural networks with zero dirichlet boundary conditions. Middle-East J. Sci. Res., 13: 15-24.
  15. Akca, H., J. Benbourenane and V. Covachev, 2013. Existence theorem for semilinear impulsive functional differential equations with nonlocal conditions. Int. J. Applied Phys. Math., 3: 182-187.
    Direct Link  |  
  16. Wang, X., X. Fu, H. Akca and X. Li, 2012. Uniform stability in terms of two measures for impulsive functional differential equations with infinite delays. Universal J. Math. Math. Sci., 1: 119-135.
    CrossRef  |  Direct Link  |  
  17. Akca, H. and V. Maksimov, 2012. On tracking of a solution of parabolic variational inequalities. TWMS J. Applied Eng. Math., 2: 185-194.
    Direct Link  |  
  18. Stamova, I.M., H. Akca and G.T. Stamov, 2011. Qualitative analysis of dynamic activity patterns in neural networks. J. Applied Math., Vol. 2011. 10.1155/2011/208517.
    CrossRef  |  
  19. Covachev, V., H. Akca and M. Sarr, 2011. Discrete-time counterparts of impulsive Cohen-Grossberg neural networks of neutral type. Neur. Parallel Sci. Comput., 19: 345-360.
    Direct Link  |  
  20. Akca, H., V. Covachev and Z. Covacheva, 2011. Impulsive Cohen-Grossberg neural networks with S-type distributed delays and reaction-diffusion terms. Int. J. Math. Comput., 10: 1-12.
    Direct Link  |  
  21. Akca, H., L. Berezansky and V. Maksimov, 2011. On tracking trajectory and control of a linear hereditary system. Funct. Differ. Equations, 18: 13-28.
    Direct Link  |  
  22. Akca, H. and V. Covachev, 2011. Impulsive cohen-grossberg neural networks with S-type distributed delays. Tatra Mountains Math. Public., 48: 1-13.
    CrossRef  |  Direct Link  |  
  23. Akca, H., V. Covachev and K.S. Altmayer, 2010. Numerical-analytical method for finding periodic solutions of the impulsive differential equations with spline functions. Int. J. Math. Comput., 7: 7-12.
    Direct Link  |  
  24. Mohamad, S., H. Akca and V. Covachev, 2009. Discrete-time cohen-grossberg neural networks with transmission delays and impulses. Tatra Mountains Math. Public., 43: 145-161.
    CrossRef  |  Direct Link  |  
  25. Akca, H. and V. Covachev, 2009. Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms. Ann. Univ. Ovidius Constanta, 17: 15-26.
    Direct Link  |  
  26. Sannay, M., K. Gopalsamy and H. Akca, 2008. Exponential stability of artificial neural networks with distributed delays and large impulses. Nonlinear Anal. Real World Appl., 9: 872-888.
    CrossRef  |  Direct Link  |  
  27. Popa, M., H. Akca and V. Breaban, 2008. Wave forces related to waves conditions and structures characteristics. Ovidius Univ. Ann. Ser. Civil Eng., 1: 27-34.
    Direct Link  |  
  28. Mohamad, S., H. Akca and V. Covachev, 2008. Discrete-time analogues of impulsive Cohen-Grossberg neural networks with transmission delays. Int. J. Math. Comput., 1: 124-143.
    Direct Link  |  
  29. Cosmin, F., H. Akca and B. Virgil, 2008. Vulnerability and risk-Evaluation methods in civil engineering. Ovidius Univ. Ann. Ser. Civil Eng., 10: 69-76.
  30. Hernandez M.E. and H. Akca, 2007. Global solutions for an abstract cauchy problem with nonlocal conditions. Int. J. Math. Manuscript, 1: 43-53.
  31. Akca, H., Alassar R., V. Covachev and H.A. Yurtsever, 2007. Discrete-time impulsive Hopfield neural networks with finite distributed delays. Comp. Assisted Mech. Eng. Sci., 14: 145-158.
  32. Akca, H., R. Alassar and V. Covachev, 2006. Stability of neural networks with time varying delays in the presence of impulses. Adv. Dyna. Syst. Appl., 1: 1-15.
    Direct Link  |  
  33. Akca, H., M. Al-Lail and V. Covachev, 2006. Survey on wavelet transform and application in ODE and wavelet networks. Adv. Dyna. Sys. Appl., 1: 129-162.
    Direct Link  |  
  34. Akca, H., V. Covachev, Z. Covacheva and S. Mohamad, 2004. Global exponential periodicity for the discrete analogue of an impulsive Hop: Field neural network with finite distributed delays. Functional Differential Equations, 16: 53-72.
    Direct Link  |  
  35. Akca, H., V. Covachev and E. Al-Zahrani, 2004. On Existence of Solutions of Semilinear Impulsive Functional Differential Equations with Nonlocal Conditions. In: Recent Advances in Operator Theory, Operator Algebras, and Their Applications, Gaspar, D., D. Timotin, L. Zsido, I. Gohberg and F.H. Vasilescu (Eds.). Birkhauser, Basel, ISBN: 978-3-7643-7127-2, pp: 1-11.
  36. Akca, H., R. Alassar, V. Covachev, Z. Covacheva and E. Al-Zahrani, 2004. Continuous-time additive Hopfield-type neural networks with impulses. J. Math. Anal. Applic., 290: 436-451.
    CrossRef  |  Direct Link  |  
  37. Akca, H., R. Alassar, V. Covachev and Z. Covacheva, 2004. Discrete counterparts of continuous-time additive Hopfield-type neural networks with impulses. Dyn. Syst. Appl., 13: 77-92.
  38. Covachev, V., Z. Covacheva, H. Akca and E.A. Al-Zahrani, 2003. Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays. Central Eur. J. Math., 1: 292-314.
    CrossRef  |  Direct Link  |  
  39. Covachev, V., H. Akca and E.A. Al-Zahrani, 2003. Periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays. Funct. Differ. Equat., 10: 441-462.
    Direct Link  |  
  40. Ashyralyev, A., H. Akca and F. Yenicerioglu, 2003. Stability Properties of Difference Schemes for Neutral Differential Equations. In: Differential Equations and Applications, Cho, Y.J., J.K. Kim and K.S. Ha (Eds.). Nova Science Publishers, New York, pp: 57-66.
  41. Boucherif, A. and H. Akca, 2002. Nonlocal cauchy problems for semilinear evolution equations. Dynamic Syst. Applic., 11: 415-420.
  42. Akca, H., A. Boucherif and V. Covachev, 2002. functional-differential equations with nonlocal conditions. Int. J. Math. Math. Sci., 29: 251-256.
    CrossRef  |  Direct Link  |  
  43. Covachev, V., H. Akca and F. Yenicerioglu, 2001. Difference approximations for impulsive differential equations. Applied Math. Comput., 121: 383-390.
    CrossRef  |  Direct Link  |  
  44. Ashyralyev, A. and H. Akca, 2001. Stability estimates of difference schemes for neutral delay differential equations. Nonlinear Anal.: Theory Methods Applic., 44: 443-452.
  45. Ashyralyev, A., H. Akca and L. Byszewski, 2000. On a Semi Linear Evolution Nonlocal Cauchy Problem. In: Some Problems of Applied Mathematics, Ashyralyev, A. and H.A. Yutrseven (Eds.). Fatih University Publications, Istanbul, ISBN: 975-303-003-7, pp: 29-44.
  46. Berezansky, L., E. Braverman and H. Akca, 1999. On oscillation of a linear delay integro-differential equation. Dynamic Syst. Applic., 8: 219-235.
    Direct Link  |  
  47. Ashyralyev, A., H. Akca and U. Guray, 1999. Second order accuracy difference scheme for approximate solutions of delay differential equations. Funct. Differ. Equat., 6: 223-231.
    Direct Link  |  
  48. Akca, H. and G. Micula, 1999. Approximate solutions of the differential equations with delay, nonpolynomial spline functions. Bull. Math. Soc. Sci. Math., 42: 293-300.
  49. Byszewski, L. and H. Akca, 1998. Existence of solutions of a semilinear functional-differential evolution nonlocal problem. Nonlinear Anal.: Theory Methods Applic., 34: 65-72.
  50. Akca, H., L. Berezansky and V.I. Maksimov, 1998. Dynamical reconstruction of a pair control-trajectory in a system unresolved with respect to derivative. Funct. Differ. Equat., 5: 3-19.
    Direct Link  |  
  51. Akca, H. and V. Covachev, 1998. Periodic solutions of impulsive systems with delay, differential equations. Funct. Differ. Equat., 5: 275-286.
  52. Byszewski, L. and H. Akca, 1997. On a mild solution of a semilinear functional-differential evolution nonlocal problem. Int. J. Stochastic Anal., 10: 265-271.
    CrossRef  |  Direct Link  |  
  53. Micula, G., P. Blaga and H. Akca, 1996. The numerical treatment of delay differential equations with constant dealy by natural spline functions of even degree. Libertas Mathematica, 56: 123-132.
    Direct Link  |  
  54. Akca, H., L. Berezansky and E. Braverman, 1996. On linear integro-differential equations with integral impulsive conditions. Zeitschrift fur Analysis und ihre Anwendungen, 15: 709-727.
    CrossRef  |  Direct Link  |  
  55. Blaga, P., G. Micula and H. Akca, 1995. On the use of spline functions of even degree for the numerical solution of the delay differential equations. Calcolo, 32: 83-101.
    CrossRef  |  Direct Link  |  
  56. Akca, H., V.B. Shakhmurov and G. Arisan, 1995. Differential-operator equations with bounded delay. Nonlinear Times Digest, 2: 179-190.
  57. Akca, H., G. Micula and G. Arslan, 1995. Deficient spline approximations for second order neutral delay differential equations. Studia Mathematica, 40: 85-97.
  58. Akca, H., G. Micula and U. Guary, 1994. Continuous approximate solution to the neutral delay differential equations by a simplified Picard's method. Studia Mathematica, 4: 69-78.
  59. Akca, H., D. Bainov and M.B. Dimitrova, 1994. Asymptotic properties of the solutions of a class of operator-differential equations. Yokohama Math. J., 42: 133-149.
  60. Akca, H., G. Micula and I. Dag, 1992. Approximate solutions of the second order differential equations with deviating argument by deficient Spline functions. Automat. Comput. Applied Math., 2: 87-93.
  61. Akca, H. and G. Micula, 1992. Numerical solutions of system of differential equations with deviating argument by Spline functions. ACTA Tech. Napocensis, 35: 107-116.
  62. Akca, H. and G. Micula, 1991. Numerical solutions of differential equation of the order with deviating argument by Spline functions. Bull. Univ. Baia Mare Ser. B, 7: 47-54.
  63. Akca, H., 1990. Mathematical model: Preserving environment. J. Eng. Sci., 25: 35-41.
  64. Akca, H., 1988. On the oscillatory type solutions of y""= f( x, y, y', y") and linear multi-step method for the numerical solutions. Pure Applied Math. Sci., 2: 1-8.
  65. Akca, H., 1988. Mathematical modelling: The relation among success, work and adaptability of a student. Applied Math. Notes Can. Math. Soc., 13: 46-50.
  66. Akca, H. and G. Micula, 1988. Numerical solutions of differential equation with deviating argument using Spline functions. Studia Mathematica, 2: 45-57.
  67. Akca, H. and G. Micula, 1988. Approximate solutions of the second order differential equations with deviating argument by Spline functions. Math. Revue d'Analyse Numerique, 30: 37-46.
  68. Akca, H., 1986. The friendship of Sturm and Liouville. Bull. Erciyes Univ. Faculty Sci., 2: 143-154.
  69. Akca, H., 1986. Application of discretization methods in oscillation and comparison theorems. Bull. Erciyes Univ. Faculty Sci., 2: 371-377.