Rakhee Basu

Dr. Rakhee Basu is an Associate Professor in Mathematics Department at Mahindra University École Centrale School of Engineering.

She holds a Ph.D. from University of Hyderabad. She is Passionate in extending the existing line of research to explore applications in the fields of Biology, Control Theory, Variation Calculus, Population Dynamics, Optimization, Sociology and Economics.

She is a Fluent communicator with proven ability to present to diverse audience.

• University of Hyderabad: Post-Doc (Kothari Fellowship) (2015-2018)

• University of Hyderabad: Ph.D. (2009-2015)

• University of Calcutta: M.Sc., Applied Mathematics ( 2005-2007)

• Calcutta University: B.Sc., Mathematics (Hons) (2002-2005)

• Intermediate: Duration (2000 – 2002)

• S.S.C: Year of Passing (2000)

• Basu, R., Lather, J. “An Iterative Method for the Qualitative Analysis of Nonlinear Neutral Delay Differential Equations”. J Math Sci (2024). https://doi.org/10.1007/s10958-024-06954-z
• Analyzing Computer Virus Propagation: Integrating Monte Carlo Simulations with Delay Differential Equation Models by Abhirath Sangala, Ananya Hazarika, Raghu Kisore Neelisetti, Rakhee Basu, Mahindra University, Hyderabad, India. 2024 International Conference on Emerging Techniques in Computational Intelligence (ICETCI) Analyzing Computer Virus Propagation: Integrating Monte Carlo Simulations with Delay Differential Equation Models | IEEE Conference Publication | IEEE Xplore

• A new formula for investigating delay integro-differential equations using differential transform method involving quotient of two functions, R. Basu, Rocky Mountain Journal of Mathematics, ISSN: 0035-7596, 51(2): 413-421 (April 2021) DOI: 10.1216/rmj.2021.51.413.
• An iterative scheme for the oscillation criteria of a nonlinear delay differential equation with several deviating arguments, R. Basu.(Accepted in Asian European Journal of Mathematics, 2021. https://doi.org/10.1142/S1793557122500711

• Functions Preserving Limit Superior, R. Basu, Kannan, K. Sannyasi, N. Unnikrishnan, College Mathematics Journal, ISSN : 07468342, 19311346, (2019), 50(1), 58-60, DOI: doi.org/10.1080/07468342.2019.1534489.
• S. Panigrahi, R Basu, Necessary and sufficient conditions for oscillation of a neutral delay differential equations with positive and negative coefficients, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 26(1), 1-21, 2019.

• Study of Transitivity Through Steepness, V. Kannan, R. Basu, K. Sannyasi, N. Unnikrishnan,Topology Proceedings, ISSN: 2331-1290, (2018), 52, 1-12. DOI: //topology.auburn.edu/tp/52001.

• Oscillation results for fourth order nonlinear neutral differential equations with quasi-derivatives, S. Panigrahi, R. Basu, Functional Differential Equations, ISSN: 2617-8605, (2017), 24, 95-110.
• Oscillation criteria for a forced second order neutral delay differential equations, S. Panigrahi, R. Basu, Functional Differential Equations, ISSN: 2617-8605, (2017), 24, 27-44. DOI: https://www.ariel.ac.il/wp/fde/wp-content/uploads/sites/97/2019/03/OSCILLATION-CRITERIA-FOR-A-FORCED-SECOND-24.1-2.pdf.

• Oscillation results for higher order nonlinear neutral differential equations, S. Panigrahi, R. Basu, International Journal of Dynamical Systems and Differential Equations,ISSN: 1752-3591, (2016), 6, 16-35. DOI : 1504/IJDSDE.2016.074573.
• Oscillation results for third order nonlinear mixed neutral differential equations, S. Panigrahi, R. Basu, Mathematica Slovaca, ISSN: 1337-2211,(2016), 66, 869-886. DOI: org/10.1515/ms-2015-0189.

• Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients, S. Panigrahi, R. Basu, Journal of Applied Analysis, ISSN: 1869-6082, (2015), 109-121. DOI: org/10.1515/jaa-2015-0011/
• Oscillation criteria for odd higher order nonlinear neutral differential equations with positive and negative coefficients, S. Panigrahi, R. Basu, Differential Equations And Applications, ISSN : 1848-9605, (2015), 7, 363-384. DOI: doi.org/10.7153/dea-07-21.

• Oscillation Criteria for second order neutral differential equations with positive and negative coefficients, S. Panigrahi, R. Basu, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, ISSN: 1918-2538, (2014), 21, 171-186. DOI: https://online.watsci.org/abstract_pdf/2014v21/v21n2a-pdf/2.pdf.
• Oscillatory and asymptotic behaviour of fourth order nonlinear neutral delay differential equations with positive and negative coefficients, A. K. Tripathy, S. Panigrahi, R. Basu, Fasciculi Mathematici, ISSN: 0044-4413, (2014), 52, 155-174. DOI: 21008.

• Oscillation results for fourth order nonlinear neutral differential equations with positive and negative coefficients, A. K. Tripathy, S. Panigrahi, R. Basu, Journal of Mathematical Sciences, ISSN : 1573-8795, (2013), 194, 453-471. DOI: https://link.springer.com/article/10.1007/s10958-013-1540-1

• Oscillation results for fourth order nonlinear mixed neutral differential equations with quasi-derivatives, S. Panigrahi, R. Basu,Functional Differential Equations, ISSN: 2617-8605, (2012), 19, 195-211. DOI: https://www.ariel.ac.il/wp/fde/.
• Oscillation of nonlinear neutral differential equations of fourth order with several delays, S. Panigrahi, R. Basu, Annals of the Academy of Romanian Scientists, ISSN : 2066-6594, (2012), 4, 59-89. DOI: http://aos.ro/editura/analeleaosr/annals-on-mathematics/archive/volume-4-no-1-2012

ORCID: https://orcid.org/0000-0001-7177-9275

• Working as an Assistant Professor (Mathematics) in Mahindra University, Hyderabad Campus (January 2019 –Present)

• Working as an Assistant Professor (Mathematics) in KL University, Hyderabad Campus (26th July 2018 –January 2019).

• Dr. D. S. Kothari Post-Doctoral Fellowship (August 2015-July 2018).

• Post-Doctoral Research Area: Dynamical Systems and Real Analysis.

• Sr. Research Fellow (July 2011- July 2014)

• Jr. Research Fellow (July 2009- June 2011)

Teaching Experience:

• Real Analysis
• Complex Analysis
• Ordinary differential Equations
• MATLAB Programming in Numerical Methods

• Post Doc. Research Area: Dynamical Systems and Real Analysis.
  (Kothari Fellowship)
• Ph.D. Research Area: Oscillation Results of Neutral Delay Differential Equations.(CSIR-NET)
• Thesis title: Study of Qualitative Behaviour of Solutions of a Class of Nonlinear Neutral Delay Differential Equations.
• Received Indira Gandhi Scholarship for Single Girl Child for Post Graduate Program during 2005-2007.

Rakhee Basu addressed the qualitative behavior of solutions of Delay Differential Equations and Fractional differential equations of various mathematical models and is passionate in extending the existing line of research to explore applications in the fields of Machine learning, Biology and Economics.

Areas of Research Interest: Delay differential equations, Fractional differential equation, Stochastic differential equations.