Dr. Syed Abbas

Dr. Syed Abbas
Phone : 01905-237933
EMail : abbas[at]iitmandi[dot]ac[dot]in
Address : School of Basic Sciences
IIT Mandi, PWD Rest House 2nd floor,
near Bus Stand, Mandi - 175001
India

Areas of Interest

  • Almost Periodic Solutions
  • Monotone Operator Theory
  • Functional Differential Equations
  • Stochastic Modeling
  • Method of Time Discretization & Applications

Education

  • Ph.D. (2009) IIT Kanpur, India.
  • M.Sc. (2004) IIT Kanpur, India.

Professional Activities

Reviewer

  • Journal of the Franklin Institute (Elsevier Science), Applied Maths Letters(Elsevier Science)
  • Mathematical and Computer Modeling (Elsevier Science). Applied Mathematical Modeling (Elsevier Science)
  • Nonlinear Analysis RWA (Elsevier Science). Acta Applicandae Mathematicae (Springer)

Member of Editorial Board

  • International Journal of Open Problems in Computer Science and Mathematics (Jordan)
  • International Journal of Open Problems in Complex Analysis (Saudi Arabia)

List of Publications

2012
  • Abbas, S., Existence and Attractivity of k‐Pseudo Almost Automorphic Sequence Solution of a Model of Bidirectional Neural Networks.Acta Applicandae Mathematicae, 10.1007/s10440-011-9661-3, (in press, 2012).
  • Abbas, S ., Sen, M., Banerjee, M., Almost periodic solutions of non-autonomous model of phytoplankton allelopathy, Nonlinear Dynamics, Volume 67, Number 1, 203-214, 2012.
2011 
  • Abbas, S. Pseudo almost automorphic solutions of some nonlinear integro-differential equations. Computers & Mathematics with Applications, 62(05): 2259‐2272, 2011.
  • Mokhtar, H., Abbas, S., Generalized Gradient in Weak Maximum Principle with Non-differentiable Drift, Int. J. Evol. Eqns, accepted, 2011.
  • Abbas, S., Banerjee, M., Momani, S., Dynamical analysis of a fractional order modified logistic model, Computers and Mathematics with Applications, Volume 62, Issue 3 (2011), 1098‐1104.
  • Mishra, I., Bahuguna, D., Abbas, S., Existence of almost automorphic solutions of neutral functional differential equation, Nonlinear Dynamics & System Theory, 11 (2) (2011) 165 ‐172.
  • Abbas, S., "Existence of solutions to fractional order ordinary and delay differential equations and applications", Electronic Journal of Differential Equations, Vol. 2011(2011), 9, pp. 1 ‐11.
2010
  • Abbas, S., Pseudo almost periodic solution of stochastic functional differential equations, Int. J. Evol. Eqns, Volume 5, Issue 4, 2010. 
  • Abbas, S., "Weighted pseudo almost automorphic sequences and their applications", Electronic Journal of Differential Equations, Vol. 2010(2010), No. 121, pp.1 ‐ 14. 
  • Abbas, S., "Pseudo almost automorphic solutions of fractional order neutral differential equation", Semigroup  Forum,  Volume  81, Number 3, 393-404, 2010.  
  • Abbas, S ., Banerjee, M.,“Stochastically perturbed allelopathic phytoplankton model” Electronic  Journal of Differential Equations,Vol. 2010(2010),No.98,pp.1 ‐15. 
  • Bahuguna,D .,Abbas,S., Shukla,R. K., "Laplace transform  method for one-dimensional heat and wave equations with nonlocal conditions", Int. J. Appl. Math. Stats., Vol.16, No. M10,(2010),   96‐100.  
  • Abbas, S ., Banerjee, M., Hungerbuhler, N., “Existence, uniqueness and stability analysis of allelopathic stimulatory phytoplankton models” J. Math. Anal. Appl., Volume 367, Issue 1, 1,   July 2010,249‐259.
 2009 
  • Abbas,S.,“Pseudo almost periodicity and stability of solutions of discrete time cellular neural networks”, Nonlinear Analysis: Modeling and Control, 14, No. 3 (2009), 283 ‐301.
  • Abbas, S ., Bahuguna, D. Banerjee, M., “Effect of stochastic perturbation on two species competitive model” Nonlinear Analysis, HS, 3, 3 (2009), 195 ‐206.
  • Abbas, S ., Bahuguna, D.,“Existence of solutions to quasilinear functional differential equations”, Electronic Journal of Differential Equation ,Vol. 2009 (2009), No.164,1 ‐8.
2008 
  • Bahuguna, D., Abbas, S. , Dabbas, J., “Partial functional differential equation with an integral Condition and applications to population dynamics”, Nonlinear Analysis, TMA , 69 (2008), 2623‐2635.
  • Abbas, S., Bahuguna, D., “Almost periodic solutions of neutral functional differential equations”, Computers and Mathematics with Application55‐11 (2008), 2593‐ 2601.
  • Abbas, S., Bahuguna, D., “Almost periodic solutions of functional differential equations by monotone iterative method”, Differential Equations and Dynamical Systems, Vol. 16, Nos. 1 & 2, Jan.& Apr. 2008, 47‐62.
  • Abbas, S., Bahuguna,D., “Almost periodic solutions of nonlinear functional differential equations”, Differential Equations and Dynamical Systems,Vol. 16, Nos. 3,July 2008, 289‐308.
2007 
  • Bahuguna, D., Abbas, S ., “Pseudo almost periodic mild solutions of retarded functional differential equations”, Glob. J. of Pure and Applied Math., Vol. 3, Nos.1, April 2007, 27‐36.
  •  

book chapter

  • Contributing Author, Chapter "Weighted Pseudo Almost Automorphic Solutions of Neutral Functional Differential Equations" in "Evolution Equations" by Arthur L. Claes, Mathematics Research Developments series, Nova Science Publishers, USA, 2011, ISBN: 978-1-61209-652-0.
  • Syed Abbas, Functional Differential Equations: Existence, Uniqueness and Almost Periodicity, ISBN 978-3-8383-2023-6, LAP , Lambert Academic Publishing, Germany, 2010.

Conferences/Workshops

International:

  • Presented a paper titled "deterministic and stochastic analysis of allelopathic stimulatory phytoplanktons model" in International conference on analysis and applications held in Sultan Qaboos University Muscat Oman, 23-27 January 2010.
  • Presented a paper titled ‘Almost periodic solutions of neutral functional differential equations’, in Conference on scientific computing held in University of Geneva, Switzerland (17-20th June 2009).
  • Presented a poster titled ‘Existence of almost periodic solution of delay differential equation’, in 6th international congress of industrial and applied mathematics 2007 held in ETH Zurich and University of Zurich, Switzerland (16-20th July 2007).

National:

  • “II Indo-Brazilian Symposium in Mathematics” held in TIFR Bangalore, 14-18 Dec., 2009.
  • Presented paper titled ‘Almost periodic solution of functional differential equations’, in the open house conducted by the Department of Mathematics and Statistics, IIT Kanpur. (20th January 2007).
  • ‘Second national workshop on tools in Applied Mathematics’, Department of Applied Mathematics, University of Calcutta, Kolkata. (20th-28th June, 2006).
  • Participated in the Workshop and Conference on ‘Analysis and Application’ held from March 14 – 23, 2006 at the Department of Mathematics, Indian Institute of Science, Bangalore.

Experience

  • Postdoc Fellow, Department of Mathematics, University of Bologna, Italy, June-August 2010 (3 months)..discontinued the fellowship and joined IIT mandi.
  • NBHM Post Doctoral fellow at "Department of mathematics and statistics, IIT Kanpur", 26-03-2010 to 01-06-2010 (3 months).
  • "University of Fribourg, Switzerland" in Indo-Swiss joint research program under Prof. Norbert Hungerbuhler from 01-06-2009 to 30-08-2009 (3 months).
  • Project associate in the "Department of civil engineering, IIT Kanpur" under Prof. P. K. Mohapatra from 01-11-2009 to 30-02-2010 (3 months).
  • Pproject associate in the "Department of mathematics and statistics, IIT Kanpur" on NBHM project under Prof. D. Bahuguna from 01-02- 2004 to 30-07-2004 (6 months).
  • Tutor in MTH-101R (Analysis for undergraduate) for one semester (got best tutor award).
  • Took many tutorials of MTH-428 (Mathematical methods for M.Sc. students).

Achievements

  • Best Tutor Award by Director IIT Kanpur for MTH-101.
  • Scored a percentile of 97.76 % in GATE-2004 (Rank: 39).
  • Awarded UGC junior research fellowship for the year 2004-06.
  • Awarded UGC senior research fellowship for the year 2006-2009.
  • Awarded Indo-Swiss joint research fellowship 2009.
  • Awaded Erasmus Mundus postdoctoral fellowship for the year 2010-2011 for University of Bologna, Italy.
  • Student member of SIAM (Society for Industrial and Applied Mathematics, USA).
  • Founding Member of International Center for Scientific Research and Studies (www.i-csrs.org).
  • Member of "Applied functional analysis" team of ICSRS.
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