Professor (Lecturer Position), Mathematics
School of Physical Sciences

Differential Equations & Dynamical Systems, Chaos and Chaos Synchronization, Fractional Differential Equations, Numerical Analysis, Mathematical Modeling in Engineering and Health Sciences.

My Website

I have earned my Ph.D. in Applied Mathematics from Kansas State University. I have taught in various mathematics departments for 25 years at various institutions such as; Kansas University, KS, USA, Qatar University, Doha, Qatar, and Shiraz University, Shiraz, Iran. In these institutions, I have thought many courses in undergraduate and graduate levels. My academic positions, various administrations, contributions to the higher education, teaching and being a member of various committees, within twenty-five years, in Kansas State, Qatar and Shiraz Universities giving me more confidence for handling my duties.

My area of research is dynamical systems in general and chaos theory in specific. Although, these are my main subjects of research area, I do not restrict myself on these topics. Indeed, differential equations, chaos synchronization, fractional differential equations, numerical analysis, mathematical modeling in engineering and health sciences, are other subjects that I am interested in. Working with graduate students, provides more motivation to deal with stronger research aspects. Furthermore, in undertaking research, I always enjoy being involved with a team which generally establishes stronger research activities. I have cooperated with four research teams in Sweden, France, India and Qatar, since 2000.
The consequence of such research activities are more than 90 joined published papers and books that are referred in my vitae.

90 published papers and 2 books; some recent published papers:

A. Farhadi, M. Salehi, G. H. Erjaee, A New Version of Black-Scholes Equation Presented by Time-Fractional Derivative, Iran J Sci Technol Trans Sci, DOI 10.1007/s40995-017-0244-7, 2017.

A. Farhadi, G.H. Erjaee, M. Salehi, Derivation of a New Merton's Optimal Problem Presented by Fractional Stochastic Stock Price and its Applications, Computer and Mathematics with Applications 73 pp. 2066-2075, 2017.

M.H. Akrami, G.H. Erjaee, Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition, Int. J. Nonlinear Anal. Appl. 7 No.2, pp 185-193, 2016.

M.H. Akrami, G.H. Erjaee, Numerical Solutions for Fractional Black-Scholes Option Pricing Equation, Global Analysis and Discrete Mathematics, Vol. 1, Issue 1, pp. 9-14, November 2016.

M. Boutefnouchet, G.H. Erjaee, M. Kirane, and M. Qafsaoui, Nonexistence results for the Cauchy problem for some fractional nonlinear systems of thermo-elasticity type, ZAMM · Z. Angew. Math. Mech. 1–10 (2016) / DOI 10.1002/zamm.201500134.

Ali Foroutan, Shahram Paydar, Seyed Taghi Heydari, Gholamhossien Erjaee, Kamran Bagheri Lankarani, Abbas Nowroozi and Sam Moslemi, Predictive Potential of Heart Rate Complexity Measurement: An Indication for Laparotomy Following Solid Organ Injury, Trauma Mon. (2015) November; 20(4): e17215, doi: 10.5812/traumamon.17215

M. H. Ostadzad, S. Shahmorad, G. H. Erjaee, Study of Public Health Education Effect on Spread of HIV Infection in a Density-Dependent Transmission Model, Differential Equations and Dynamical Systems, July (2016), DOI 10.1007/s12591-016-0310-1.

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.

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.

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/

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.

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.

M.H. Akrami and G.H. Erjaee, Numerical Solutions for Fractional Black-Scholes Option Pricing Equation, Global Analysis and Discrete Mathematics, 1(1), 2015.

1) 2013, 170,000 $, Qatar National Research Found 2) 2012, 350,000 $, Qatar National Research Found 3) 2011, 8,000 $, Health Policy Center, Shiraz University 4) 2009, 103,000 $, Qatar National Research Found 5) 2007, 12,000 $, Qatar University 2006, 20,000 $, Qatar University

Qatar National Research Center

Link to this profile
https://faculty.uci.edu/profile/?facultyId=6404

Last updated
11/11/2019