G. Hussain Erjaee

Department
Mathematics
About

 

 

Married Status:  Married                             

EDUCATION

July 1993, Ph.D.           Mathematics Department, Kansas State University Manhattan,

                                        KS, USA

January 1989, M.Sc.    Mathematics Department, Agriculture Technical State

                                        University, Greensboro, North Carolina, USA

January 1978,  B.Sc.    Mathematics Department, Tehran Teacher Training University, Iran

PROFESSIONAL EXPERIENCE

September 2009-…     Professor, Mathematics Department, Shiraz University,

                                       Shiraz, Iran

November 2007-2009   Professor, Mathematics & Physics Department,

                                         Qatar University

September 2003-2007   Associate Professor, Mathematics & Physics Department,

                                         Qatar University

Sept. 2002-Jun 2003      Visiting Professor, Mathematics Department, Qatar University

March 2000-Sept.2002  Associate Professor, Department of  Mathematics, Shiraz

                                           University

August 1993-Feb. 2000  Assistant Professor, Department of Mathematics, Shiraz

                                            University

August 1989-Jun 1993   Teaching Assistant, Kansas State University, USA

August 1987- Jan. 1989 Teaching Assistant, A&T State University, USA

August 1995-April 2001 Vice-Dean for Research, College of Sciences, Shiraz University

March 2001-Jun 2002   Head of Shiraz University Press, Shiraz, Iran

August 1981-Jun 1987   Lecturer in Mathematics, Educational Institutions and High School                                                     Teacher, Shiraz, Iran

August 1985-Jun 1987   Member of Committee for Renewing the Mathematics Text Books from                                              Eliminatory to High Schools, Iran

August 1985-Jun 1987   Head of the Teacher Training and Workshop Sessions for Method of                                                   Teaching Mathematics in High School, Shiraz, Iran  

September 2000-2009   Member of Curriculum Designer Committee, Shiraz University Iran and                                                Qatar University 

Research Interests
  •       ·  Differential Equations & Dynamical Systems

                        ·  Chaos and Chaos Synchronization

                        ·  Fractional Differential Equations

          ·  Numerical Analysis

                        ·  Applied Mathematics

                        ·  Mathematical Modeling in Engineering and Health Sciences

         

Courses
  • TEACHING

     

    Undergraduate:

     

                  · Geometry

    · Pre-Calculus

    · Number Theory

    · Elementary Algebra 

    · First Course in Statistic

    · Research Methods

    · Methods of Teaching Mathematics in, Elementary, Middle and High School

                 · Applied Mathematics for Management Students

                 · Applied Mathematics for Administration and Economic Students

                 · Applied Mathematics for Engineering Students

                  · Numerical Analysis I & II

                  · Linear Algebra I & II

                  · Calculus I, II and III

              · Ordinary Differential Equations

     · Partial Differential Equations

                  · Introduction to Dynamical Systems and Chaos Theory

                      

    Graduate:

    Two semester courses in each following subjects

      ·  Advanced Numerical Analysis

     ·  Theory of Dynamical Systems and Chaos

     ·  Theory of Ordinary Differential Equations

     ·  Numerical Solution for Ordinary Differential Equations

     ·  Numerical Solution for Partial Differential Equations

     ·  Fractional Differential Equations and Their Applications

Publications
  • REFEREED PUBLICATIONS

     

    1. F. Keshtkar, G. H. Erjaee and H. Kheiri1, On Global Stability of Non-linear Fractional Dynamical Systems, J. Comput. Complex. Appl. 1 (1) (2015) 10 – 14.
    2. M. H. Atabakzadeh and G.H. Erjaee, Synchronization between fractional-order Lorenz-Steno systems based on open-plus-closed-loop control, Journal of Computer Science & Computational Mathematics, Volume 4, Issue 1, March 2014.
    3. M.H. Akrami, G.H. Erjaee, Existence, Uniqueness and Well-Posed Conditions on a Class of Fractional  Differential Equations with Boundary Condition, Journal of Fractional Calculus and Applications, 6(2), 2015, 171- 185.ISSN: 2090-5858, http://fcag-egypt.com/Journals/JFCA/
    4. M. Boutefnouchet H. Taghvafard and G. H. Erjaee, Global Stability of Phase Synchronization in Coupled Chaotic Systems, Nonlinear Dynamics and Systems Theory, 15 (2), 2015, 141–147.
    5. M.H. Akrami and G.H. Erjaee, Examples of Analytical Solutions by Means of Mittag-Leffler Function of Fractional Black-Scholes Option Pricing Equation, Fractional Calculus and Applied Analysis, 18(1) 2015, 38-47.
    6. M.H. Akrami and G.H. Erjaee, Numerical Solutions for Fractional Black-Scholes Option Pricing Equation,  Accepted for publication in Global Analysis and Discrete Mathematics, 1(1), 2015.
    7. M.H. Akrami and G.H. Erjaee, Existence of Positive Solutions for a Class of Fractional Differential Equations Systems with Multi-point Boundary Conditions, Georgian Math. J. 2014; 21 (4):379–386, DOI 10.1515/gmj-2014-0046.
    8. M.H. Ostadzada, S. Shahmorad and G.H. Erjaee, Dynamical analysis of public health education on HIV/AIDS transmission, Mathematical Methods in the Applied Sciences, 2014, DOI: 10.1002/mma.3300.
    9. F. Keshtkar, G.H. Erjaee and M. Boutefnouchet,  On Stability of Equilibrium Points in Nonlinear Fractional Differential Equations and Fractional Hamiltonian Systems, Journal of Complexity, Wiley Periodicals, Inc., Vol. 00 No. 00, 2014, DOI 10.1002/cplx.21581.
    10. F. Keshtkar, H. Kheiri and G. H. Erjaee, Fixed Pointes Classification of Nonlinear Fractional Differential Equations as a Dynamical System, Journal of Fractional Calculus and Application, Vol. 5(2) 2014, 59-70.
    11. E. Rahimi, H. Taghvafard and G.H. Erjaee, Fractional Differential Transform Method for Solving a Class of Weakly Singular Volterra Integral Equations, Iranian Journal of Science & Technology, (2014) 38A1: 69-73.
    12. M. H. Atabakzadeh, M. H. Akremi and G. H. Erjaee, Chebyshev Operational Matrix Method for Solving Multi-order Fractional Differential Equations, Applied Mathematical Modeling 37 (2013) 8903–8911.
    13. G. H. Erjaee , M. H. Ostadzad, K. Okuguchi and A. Rahemi, Fractional Differential Equations System for Commercial Fishing under Predator Prey Interaction, Journal of Applied Nonlinear Dynamics 2(4) (2013) 407–415.
    14. G. H. Erjaee, M.H. Ostadzad, S. Amanpour, K. B. Lankarani, Dynamical Analysis of the Interaction between Effector Immune and Cancer Cells and Optimal Control of Chemotherapy,  Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 17, No. 4 : 69-73 (2013) 449-463.
    15. M.H. Akrami, M.H. Atabakzadeh, G.H. Erjaee, The Operational Matrix of Fractional Integration for Legendre Polynomials, Iranian Journal of Science & Technology (2013) 37A4: 439-444.
    16. G. H. Erjaee, M. Frotan, S. Keshtkar, P. ShojaMozafa and A. Benabas, Correlation between Mortality of Prehospital Trauma Patients and Their Heart Rate Complexity, International Journal of Clinical Medicine, 2012, 3, 568-573 doi:10.4236/ijcm.2012.37103 Published Online December 2012 (http://www.SciRP.org/journal/ijcm).
    17. L. M. Saha, S. Prasad and G. H. Erjaee, Interesting Dynamic behavior in some Discrete Maps, Iranian Journal of  Science & Technology IJST (2012) A3 (Special issue-Mathematics) 383-389.
    18. G. H. Erjaee and H. Taghvafard, Bifurcation Analysis of (2+1) Dimensional Konopelchenko-Dubrovsky System Presented by a Fractional Differential Equations, Journal of Statistics and Mathematics ISSN: 0976-8807 & E-ISSN: 0976-8815, Volume 3, Issue 2, (2012) 99-102.
    19. G. H. Erjaee, M. Shahbazi and A. Erjaee, Dynamical Analysis of Mathematical Model Presented by Fractional Differential Equations, Describing the Interaction Between Leukemic Cancer Cells, T Cells and Drug Treatment with a Drug Optimal Control, Open Access Scientific Reports, Volume 1, Issue 8 , (2012),  http://dx.doi.org/10.4172/scientificreports.390.
    20. H. Taghvafard and G. H. Erjaee, On Solving A System of Singular Volterra Integral Equations of Convolution Type, Communications in Nonlinear Science and Numerical Simulation, ElSEVIER, UK, 16 (2011) 3486-3492.
    21. G. H. Erjaee, H. Taghvafard and M. Alnasr, Numerical Solution of the High Thermal Loss Problem Presented by a Fractional Differential Equation, Communications in Nonlinear Science and Numerical Simulation, ElSEVIER, UK, 16 (2011) 1356-1362.
    22. H. Taghvafard and G. H. Erjaee, Phase and Anti-phase Synchronization of Fractional Order Chaotic Systems Via Active Control, Communications in Nonlinear Science and Numerical Simulation, ElSEVIER, UK, 16 (2011) 4079-4088.
    23. G. H. Erjaee and H. Taghvafard, Stability Analysis of Phase Synchronization in Coupled Chaotic Systems Presented by Fractional Differential Equations, Nonlinear Dynamics and Systems Theory, 11 (2) (2011) 147-154.
    24. M. Kazemi and G. H. Erjaee, Analytical and Numerical Solutions of Different Parabolic Heat Equations Presented in the form of Multi-term Fractional Differential Equations, Iranian Journal of Science, Transaction A, IJST (2011) A3: 185-192.
    25. H. Taghvafard and G. H. Erjaee, A Criterion for the Stability Analysis of Phase Synchronization in Coupled Chaotic System, Electronic Journal of Theoretical Physics Electronic Journal of Theoretical Physics, 8, No. 25 (2011) 245–252.
    26. H. Taghvafard and G. H. Erjaee, Two-dimensional Differential Transform Method for Solving Linear and Non-linear Goursat Problem, International Journal of Engineering and Mathematical Sciences 6:2 (2010) 103-106.
    27. M. Alnasr and G. H. Erjaee, Application of the Multistage Homotopy Perturbation Method to the Bifurcation of Some Dynamical Systems, Iranian Journal of Science and Technology, Transaction A, Vol. 4, (2010).
    28. G. H. Erjaee,  H. R. Z. Zangeneh and N. Nyamorad, Limit Cycles of a Class of Hilbert’s Sixteenth Problem Presented by Fractional Differential Equations, Advances in Difference Equations Volume 2010 (2010), Article ID 938180, 12 pages.
    29. G. H. Erjaee and M. Alnasr, Phase Synchronization in Coupled Sprott Chaotic Systems Presented by Fractional Differential Equations, Discrete Dynamics in Nature and Society Volume 2009, Article ID 753746, (2009).
    30. M. Alnasr and G. H. Erjaee, Application of Multistage Homotopy Perturbation Method for the Singular Perturbation Initial and Boundary Value Problems, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 3 No. I, (2009) 1-14.
    31. S. Moumani, G. H. Erjaee and M. Alnasr, The Modified Homotopy Perturbation Method for Solving Strongly Non-linear Oscillators, Computers and Mathematics with Applications, 58 (2009) 2209-2220.
    32. G. H. Erjaee, On the Numerical Stability of Chaotic Synchronization Using Nonlinear Coupling Function, Chaos, Solitons & Fractals, The Interdisciplinary Journal of Nonlinear Science Nono and Quantum Technology, Elsevier Science Publisher, UK,  39 (2009) 682–688.
    33. G. H. Erjaee, Analytical Justification of Phase Synchronization in Chaotic Systems, Chaos, Solitons & Fractals, The Interdisciplinary Journal of Nonlinear Science Nono and Quantum Technology, Elsevier Science Publisher, UK,  39 (2009) 1195–1202.
    34. G. H. Erjaee & S. Momani, Phase Synchronization in Fractional Differential Chaotic, Physics Letters A, Elsevier Science Publisher, UK, Physics Letters A 372 (2008) 2350–2354.
    35. G. H. Erjaee, Numerical Bifurcation of Predator-Prey Fractional Differential Equations with a Constant Rate Harvesting, 2008 J. Phys.: Conf. Ser. 96 012045.
    36. G. H. Erjaee, Bifurcation Analysis of Predator-prey Systems with Constant Rate Harvesting Using Non-Standard Discretization. Nonlinear Dynamics, Psychology, and Life Sciences, USA. Vol. 11, No. 3, (2007) 333-348.
    37. G. H. Erjaee and K. Okuguchi, Bifurcation and Stability in Imperfectly Competitive International Commercial Fishing, Keio Economic Studies, Vol. XLIII, No. 2, Japan (2006).
    38. G. H. Erjaee, Bifurcation and Stability Analysis of an International Fishing Model, Ganita Publishing, India, Vol. 58, No. 2 (2007) 127-136.
    39. G. H. Erjaee, Chaos and Complexity and Some of their Applications, Far East Journal of Dynamical Systems, 8(1)  (2006) 115-132.
    40. G. H. Erjaee, and Fozi M. Dannan, Stability Analysis of Periodic Solution to the Nonstandard Discretized Model of the Lotka-Volterra Predator-Prey System. International Journal of Bifurcation and Chaos, Vol. 14, No. 12 (2004) 4301-4308.
    41. G. H. Erjaee, M. H. Atabakzade and L. M. Saha, Interesting Synchronization-like Behavior, International Journal of Bifurcation and Chaos, Vol. 14, No. 4 (2004) 1447-1453.
    42. L. M. Saha, G. H. Erjaee and M. Budhraja. Controlling Chaos in 2-Dimensional System, International Journal of Science & Technology, Transaction A, and Vol. 28, No. A2, (2004) 219-226.
    43. G. H. Erjaee, On the Asymptotic Stability of a Dynamical System, Iranian Journal of Sciences and Technology, Transaction A, Vol. 26, No. A1 (2002) 132-135.
    44. G. H. Erjaee, M. Hasanzadeh, Numerical Solution to the Fredholm Integral Equation of Second Kind, Using Multigrid Method, Journal of Science, Tehran University, Vol. 27, No. 2 (2002) 235-254.
    45. G. H. Erjaee and R. Kumar, Composition Operators on - Space, Proceeding of the Sixth Conference Functional Spaces, (2001) 114-119.
    46. G. H. Erjaee, General Synchronization of Coupled Pair of Chaotic one Dimensional Gaussian Map, Journal of Sciences, Islamic Republic of Iran, Vol. 12, No. 3 (2001) 251-257.
    47. G. H. Erjaee, Methods of Controlling Chaos, Golchen, Shiraz University Press, Vol. 7, No. 1 (2001) 45-63.
    48. G. H. Erjaee, Numerical Bifurcation and Stability Analysis of the Nechluas Pull Reaction as an Application of Class of Integro-Partial Differential Equation,  Southwest Journal of Pure and Applied Math, USA. No. 2 (2000) 88-121.
    49. G. H. Erjaee, Derivation of the Unsteady-State Interaction by Exchange with the Mean Model, Iranian Journal of Science and Technology, Vol. 22, No. 2, Transaction A (1998) 185-194.
    50. G. H. Erjaee, The Generalized Eigenvalue Problem and Differential Equation, SAAS Publishing, Hungary, PU.M.A. Vol. 7, No. 1-2, (1996) 69-81.
    51. G. H. Erjaee, Numerical Simulation of a Class of Integro-Partial Differential Equations Using a Transformation Technique, Bulletin of the Iranian Mathematical Society, Vol. 22, No. 2 (1996) 19-40.
    52. G. H. Erjaee, The Generalize Eigenvalue Problem, Golchen, Shiraz University Press, Vol. 3, No. 1 (1994) 25-33.
    53. R. O. Fax, G. H. Erjaee and Q. Zou, Bifurcation and Stability Analysis of Micro mixing Effects in the Chlorite Iodide Reaction, Chemical Engineering Science, USA. Vol. 49 (1994) 004-020.
    54. G. H. Erjaee, Transformation of a Class, of ODE Using Lagurre Polynomial. Golchen, Shiraz University Press Vol. 2, No. 2 (1993) 4-10.
    55. A. Farhadi, M. Salehi and G.H. Erjaee, A new Derivation of Black-Scholes Equation Presented by Time-Fractional Derivative, submitted for publication.
    56. A. Farhadi, G.H. Erjaee and M. Salehi, Derivation of a New Merton's Optimal Problem Presented by Fractional Stochastic Stock Price and it's Applications, submitted for publication.
    57. M.H. Atabakzadeh, G.H. Erjaee, Study of Well-posed Conditions for a Class of Boundary Value Problems Presented by Fractional Order Derivative, submitted for publication.
    58. G.H. Erjaee and M.H. Taghvafard, H-Infinity Synchronization of a Nonlinear Financial System, in the publication process.
    59. M. Boutefnouchet, G. H. Erjaee, M. Kirane, M. Qafsaoui, Nonexistence Results for the Cauchy Problem for some Fractional Nonlinear Systems of Thermo-elasticity Type, in the publication process.
    60. S. Shahmorad, M.H. Ostadzad and G.H. Erjaee, Step by Step Operational Matrix Method for Solving Delay Differential and Integro–Differential Equations, in the publication process.
    61. M.H. Atabakzadeh and G.H. Erjaee, Synchronization in Fractional Order Financial System Based on Routh-Hurwits Condition, The 11th Seminar of Differential Equations and Dynamical systems, Damghan University, Damghan, Iran, June 2014.
    62. G.H. Erjaee,  H. Kheiri and F. Keshtkar, On Stability Analysis of Fractional Order Dynamical Systems, The 11th Seminar of Differential Equations and Dynamical systems, Damghan University, Damghan, Iran, June 2014.
    63. G. H. Erjaee, Complexity and its Applications, Invited Keynote Speaker, International Conference "Complex Nonlinear Systems: From Basic Science To Applications, October 7 - 11, 2013 Samarkand, Uzbekistan.
    64. G. H. Erjaee, Linearity and Nonlinearity in Numerical Analysis, Invited Keynote Speaker, The 5th Conference on Numerical Analysis and its Application, Rafsanjan University, Rafsanjan, Iran, August, 2014.
    65. M.H. Akrami and G.H. Erjaee, Numerical Solution for fractional Black-Scholes Option Pricing Equation, The 11th Seminar of Differential Equations and Dynamical systems, Damghan University, Damghan, Iran, June 2014.
    66. M.H. Atabakzadeh and G.H. Erjaee, Stability Solution in a class of Fractional Differential Equations, 44th Iranian International Conference on Mathematics, Mashhad University, Iran, August 27-30, (2013).
    67. M.H. Akrami and G.H. Erjaee, A new method for solving fractional Black-Scholes European option pricing equation, 44th Iranian International Conference on Mathematics, Mashhad University, Iran, August 27-30, (2013).
    68. M.H. Akrami, M.H. Atabakzadeh and G.H. Erjaee, A matrix approach to solving a system of fractional differential equations, 43th Iranian International Conference on Mathematics, Tabriz University, Tabriz Iran, August 27-30, (2012).
    69. M.H. Atabakzadeh, M.H. Akrami and G.H. Erjaee, On solving of converted Multi-order fractional differential equation, 43th Iranian International Conference on Mathematics, Tabriz University, Tabriz Iran, August 27-30, (2012).
    70. G.H. Erjaee (Invited Speaker)  and A. Frotan Complex Nonlinearity and its Applications, 43th Iranian International Conference on Mathematics, Tabriz University, Tabriz Iran, August, 27-30  (2012).
    71. G. H. Erjaee and M. Ostadzad, Stability Analysis of an HIV,AIDS Epidemic Model with Treatment Presented by Fractional Differential Equations, 41th Iranian International Conference on Mathematics 12-15 September (2010), University of Urmia, Urmia, Iran.
    72. G. H. Erjaee, H. Taghvafard. On Solving the High Thermal Loss Problem, Proceeding of the 4th Applied Mathematics Conference, Zahedan, Iran, March 10-12, (2010).
    73. G. H. Erjaee H. Application of Fractional Calculus in Chaos and Synchronization, Proceeding of the 4th Applied Mathematics Conference, Zahedan, Iran, March 10-12, (2010).
    74. M. Kazemi and G. H. Erjaee, Analytical and Numerical Solutions of Different Parabolic Heat Equations Presented in the form of Multi-term Fractional Differential Equations, Proceeding of the 4th Applied Mathematics Conference, Zahedan, Iran, March 10-12, (2010).
    75. M. H. Ostadzad and G. H. Erjaee, Bifurcation Analysis of Predator-Prey System with Constant Rate Harvesting Presented by Fractional Differential Equations, Proceeding of the 4th Applied Mathematics Conference, Zahedan, Iran, March 10-12, (2010).
    76. G. H. Erjaee, H. Taghvafard and A. Zare, Stability and Bifurcation Analysis of an SIS Epidemic Model with Treatment Presented by Fractional Derivative, Proceeding of the Second Conference of Application of Mathematics and Theory of Control in Medical, Mashhad, Iran, (2010). 
    77. G. H. Erjaee, Non-Standard Discretization of Fractional Differential Equations, ICCSA 2009, The 3rd International Conference on Complex Systems and Applications, University of Le Havre Le Havre, Normandy, France (2009).
    78. L. M. Saha, G. H. Erjaee, R. Sharma and T. P. Sharma, Influence of Tidal and Magnetic Forces on the Motion of a Satellite,  Proceedings of National Academy of Sciences, Allabad, IUCAA. Proceedings of Celestial Mechanic, (2002).
    79. L. M. Saha, T. P. Sharma, G. H. Erjaee, R. Sharma and P. Dixit,  Hill’s Stability Criteria in the Oblate Restricted Three-Body Problem, National Academy of Sciences, Allabad, IUCAA. Proceedings of Celestial Mechanic, (2002).
    80. L. M. Saha, T. P. Sharma and G. H. Erjaee, Use of Lie Technique in Restricted Three Body Problems. National Academy of Sciences, Allabad IUCAA, Proceedings of Celestial Mechanics, (2002).