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Assistant Professor & Controller of Examination,
Applied Science and Huminities
8840875804 | [email protected]
| M.Sc. (BHU), M.Phil. (CSJMU), Ph.D. (IIT BHU), NET-SRF, GATE |
| Mathematics |
| Mathematical Modelling of the real-world problems, Fractional differential and integral equations, Approximate analytical and Numerical solutions of linear and nonlinear problems, Nonlinear Dynamics, Chaos Synchronization with fractional order derivative. |
| 1. Assistant Professor, Department of Mathematics, Government Engineering College, Kaimur, Bihar, from 20 July 2022 to till date. |
| 2. Assistant Professor, Department of Mathematics, Government Engineering College, Nawada, Bihar, from 30 July 2019 to 19 July 2022. |
| 3. Associate Professor in the Faculty of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University (SRMU), Lucknow from 01 Aug. 2016 to 13 June 2019. |
| 4. Assistant Professor in the Faculty of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University (SRMU), Lucknow from 25 Sept. 2012 to 31 July 2016. |
| Ph. D. Supervision Ved Prakash Dubey Reg. No. 201310203000001 Topic: Approximate Solutions of Some Nonlinear Fractional Differential Equations Using Semi-Analytic Techniques Name of Institute/Faculty: Faculty of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University (SRMU), Lucknow. Date of Award: 17/12/2020 |
| M.Sc. Project Supervision: Swati Singh Topic: Synchronization and Anti-Synchronization Between Non-Autonomous Duffing-Holmes and Matie Systems Using Nonlinear Control Method. Mohd Akabar Topic: Approximate Solution of Fractional Order Non-Linear Differential Equation Using Homotopy Perturbation Transform Method. Priyanka Dubey Topic: A Study of Fractional Order Population Model with One Carrying Capacity. Rehana Parveen Siddiquie Stability analysis and approximate analytical solution of Computer Virus model. Shalini singh Synchronization between fractional order chaotic dynamical systems using Active Control method. Diksha Sundriyal Approximate analytical solution of fractional order one dimensional imbibitions phenomenon in homogeneous porous media. Vivek Sinha Approximate analytical solutions of fractional order non-linear differential equations using Homotopy Perturbation Transform Method |
| 1. S. Das, R. Kumar, P. K. Gupta, H. Jafari, Approximate analytical solutions for Fractional space- and time- partial differential equations using homotopy analysis method, Applications and Applied Mathematics 5 (10), 1641-1659, 2010, https://www.pvamu.edu/mathematics/wp-content/uploads/sites/49/22_jafari_r259_vol_5_issue_2.pdf |
| 2. Das, R. Kumar, P. K. Gupta, Homotopy Analysis Method for Fractional Diffusion Equation with Absorbent Term and External Force, Journal of Nonlinear Systems and Applications, 141–145, 2010, http://jnsaonline.watsci.org/abstract_pdf/2010v1/v1n3-4-pdf/7.pdf |
| 3. Das, R. Kumar, P. K. Gupta, An approximate analytical solution of the fractional diffusion equation with external force and different type of absorbent term – Revisited, Application and Applied Mathematics 1 (Special Issue-1), 101-109, 2010, https://www.pvamu.edu/aam/wp-content/uploads/sites/49/AAM-SI0114-SD-051510-Ready-to-go-08-23-10.pdf |
| 4. S. Das, R. Kumar, Approximate analytical solutions of fractional Gas Dynamic equations, Applied Mathematics and Computation, 217, 9905–9915, 2011, https://doi.org/10.1016/j.amc.2011.03.144 |
| S. Das, R. Kumar, P. K. Gupta, The Homotopy Analysis Method for Fractional Cauchy Reaction-Diffusion Problems, International Journal of Chemical Reactor Engineering 9, Article A15, 2011, https://doi.org/10.1515/1542-6580.2508 |
| 6. S. Das, R. Kumar, P. K. Gupta, Analytical approximate solutions of space and time- fractional diffusion equation with a moving boundary condition, Zeitschrift für Naturforschung A 66, 1-8, 2011, https://doi.org/10.1515/zna-2011-0503 |
| 7. Approximate analytical solutions of the time-fractional coupled Burger equations and KdV equations using homotopy perturbation transform method, Problems of Nonlinear Analysis in Engineering Systems 19 (1), 39, 2014. |
| 8. Rajnesh Kumar and SunilKumar, A New Fractional Modelling on Susceptible-Infected-Recovered Equations with Constant Vaccination Rate, Nonlinear Engineering 3 (1), 11-19, 2014, https://doi.org/10.1515/nleng-2013-0021 |
| 9. S. N. Raw, P. Mishra, R. Kumar, S. Thakur, Complex Behavior of Prey-Predator system exhibiting group defense: A mathematical modeling study, Chaos, Solitons and Fractals 100, 74-90, 2017, https://doi.org/10.1016/j.chaos.2017.05.010. |
| Ved Prakash Dubey, Rajnesh Kumar, Devendra Kumar A reliable treatment of residual power series method for time-fractional Black–Scholes European option pricing equations, Physica A: Statistical Mechanics and its Applications 533, 122040, 2019, https://doi.org/10.1016/j.physa.2019.122040. |
| Ved Prakash Dubey, Rajnesh Kumar, Analytical study of fractional Bratu-type equation arising in electro-spun organic nanofibers elaboration, Physica A: Statistical Mechanics and its Applications 521, 762-772, 2019, https://doi.org/10.1016/j.physa.2019.01.094. |
| Ved Prakash Dubey, Rajnesh Kumar, Devendra Kumar, Approximate analytical solution of fractional order biochemical reaction model and its stability analysis, International Journal of Biomathematics 12 (05), 1950059, 2019, https://doi.org/10.1142/S1793524519500591. |
| Ved Prakash Dubey, Rajnesh Kumar, Devendra Kumar, Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology, International Journal of Biomathematics 13 (02), 2050011, 2020, https://doi.org/10.1142/S1793524520500114 |
| 14. H. M. Srivastava, V. P. Dubey, R. Kumar, J. Singh, D. Kumar, D. Baleanu, An efficient computational approach for a fractional-order biological population model with carrying capacity, Chaos, Solitons & Fractals 138, 109880, 2020, https://doi.org/10.1016/j.chaos.2020.109880. |
| 15. Ved Prakash Dubey , Rajnesh Kumar, Devendra Kumar, Ilyas Khan, Jagdev Singh, An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences, Advances in Difference Equations, 46, 1-27, 2020, https://doi.org/10.1186/s13662-020-2505-6 |
| 16. Ved Prakash Dubey, Rajnesh Kumar, Jagdev Singh, Devendra Kumar, An efficient computational technique for time-fractional modified Degasperis-Procesi equation arising in propagation of nonlinear dispersive waves, Journal of Ocean Engineering and Science, 6 (1), 30-39, 2020, https://doi.org/10.1016/j.joes.2020.04.006. |
| 17. Ved Prakash Dubey, Rajnesh Kumar, Jagdev Singh, Devendra Kumar, A hybrid analytical scheme for the numerical computation of time fractional computer virus propagation model and its stability analysis, Chaos, Solitons & Fractals 133, 109626, 2020, https://doi.org/10.1016/j.joes.2020.04.006. |
| Book Chapter Ved Prakash Dubey, Rajnesh Kumar, Devendra Kumar, Fractional Order Model of Transmission Dynamics of HIV/AIDS with Effect of Weak CD4+ T Cells, Fractional Calculus in Medical and Health Science, 1st Edition, 149, 10 July 2020, eBook ISBN: 9780429340567, CRC Press, https://doi.org/10.1201/9780429340567. |
| Conference Proceeding Bineet Kumar Gupta, Abhishek Sachan, Rajensh Kumar & Monika Gupta, “Information Security A Case of Clutter” in Physics of Hearing: From Neurobiology to Information Theory and back at KITP, University of California Santa Barbara, USA, Paper ID NSF-ITP-17-091, May 30 – July 21, 2017. |
| 1. Participated in National Symposium on “Modern Trends in Differential Geometry and Mathematical Modelling in Bio- Sciences”, held on Dec. 24-25.2008 in the Department of Mathematics, Lucknow University, Lucknow. |
| 2. Participated in National Workshop on “Linear and Nonlinear system” held during Dec 15-Dec 19, 2011 at the Centre for Mathematical Sciences, Banasthali University, Rajasthan. |
| 3. Participated in Faculty Development Programme on “Challenges and Issues in Higher Education” Process, held on 30 June-04 July, 2014, Shri Ramswaroop Memorial University, Deva Road, Lucknow. |
| 4. Participated in National Workshop on “Mathematical Modeling and Computer Simulation” held during March 20- march 21, 2015 organized by Teaching Learning Cell, IIT (BHU), Varanasi. |
| 5. Participated in Faculty Development Programme on “Effective Teaching-Learning” Process, held on 06 July-11 July, 2015, Shri Ramswaroop Memorial University, Deva Road, Lucknow. |
| 6. QIP Short Term Course on Mathematical Modeling and Analysis on Continuum Mechanics conducted by Department of Mathematical Science IIT (BHU), Varanasi during 09-15 Sept., 2019. |
| 7. A workshop on Examination Reforms conducted by AICTE during 29 April to 02 May 2020. |
| 8. FDP on MATLAB conducted by E & ICT Academy, IIT Kanpur during 08 June to 19 June 2020 (2 weeks). |
| 9. FDP on Applications of Mathematics in Engineering conducted by Department of Mathematics, KPRIET (Autonomous) Coimbatore during 27-31 July 2020 (1 week). |
| 10. Induction Training Phase-I at NITTTR Chandigarh during 20-31 January 2020 (2 week). |
| 11. Induction Training Phase-II at NITTTR Bhopal during 29 June 202 to 10 July 2020 (2 week). |
| 12. Coordinated the 60Hrs, Hands-on, Online Training course on (Labcenter International LLP certified Course) Conducted for Arybhatta Knowledge University, Patna, Bihar from December 3rd 2020 to December 31st 2020 by Cybermotion Technologies Pvt. Ltd., Hyderabad, India This is to certify that: Embedded Design and Simulation for Analog & Digital Electronics, 8051 and Arduino Uno Microcontrollers. |
| 13. International workshop on Recent Trends in Applied Mathematics and Research Methodology organized by Department of Mathematics, Govt. MGM PG College, Itarsi, M.P. during March 04-05, 2021. |
| 14. Hands on Training on SAR Filling of NBA Accreditation organized by NITTTR Bhopal during 28 June to 02 July, 2021. |
| 15. Cisco Networking Academy Hands-on, Online Training course on “Introduction to Networks, Switching, Routing, and Wireless Essentials, Enterprise Networking, Security, and Automation” during 19 July-31 July 2021 |
| Paper presentation in International / National conferences: 1. “Approximate analytical solutions for Fractional space- and time- partial differential equations using homotopy analysis method” presented in the National Conference on "Recent Trends in Mathematical Sciences” (RTMS-2010) held at Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India, during March 18 – 20, 2010. |
| 2. “Fractional Cauchy reaction diffusion equation by Differential Transform Method” presented in the National Conference on “Mathematical Modeling and Computer Simulation (MMCS-2011) held at Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India, during March 25 – 27, 2011. |
| 3. Homotopy Analysis Method for Fractional Diffusion Equation with Absorbent Term and External Force” presented in the National Conference on “Mathematical Modeling and Computer Simulation (MMCS-2012) held at Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India, during March 23 – 25, 2012. |
| 4. “A Mathematical Model on time Fractional Susceptible-Infected-Recovered Equations with Constant Vaccination Rate” presented in the National Conference on Mathematics held at department of Mathematics & Astronomy, Lucknow University, Lucknow during 29 Nov- 1 Dec, 2013. |
| 5. Bineet Kumar Gupta, Rajnesh Kumar, Monika Gupta, “User Centred Design and Usability Approach of Human Computer Interaction to Expand Quality of Software”, CiiT International Journal of Fuzzy Systems, ISSN Number: 09749721, August - September 2017. |
| Life Member of International Association of Engineers (IAENG), Member Number: 142111. |
| Life Member of Bhartiya Ganit Parisad. |
| From 1 April, 2012, Senior Research Fellowship (SRF) from Council of Scientific & Industrial Research (CSIR), New Delhi, India is awarded for doing Ph. D. at Indian Institute of Technology (Banaras Hindu University) Varanasi – 221 005, India. |
| The 2012 IIT (BHU) publication Award under first prize category for the Doctorate Students. |
| Conference/Workshop Organized 1. Organized as Co-Convener, National Conference on Recent Trends in Mathematics with Applications (NCRTMA-19), at Faculty of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University (SRMU), Lucknow during February 21-22, 2019. |
| Session Chair in International Conferences 1. Chaired a Session in Technical session as per program of 3rd International Conference on Mathematical Modeling, Applied Analysis and Computation-2020 at Department of Mathematics, JECRC University Jaipur during 07-09 August 2020. |
| 2. Chaired a Session in Technical session as per program of 4th International Conference on Mathematical Modeling, Applied Analysis and Computation-2021 at Department of Mathematics, JECRC University Jaipur during 05-07 August 2021. |
| Invited Talk 1. A talk entitled “Fractional Calculus and its Applications in Science and Engineering” delivered in the National Level Short Term Training Programme on “A Glimpse of Differential Equations in Science and Engineering”, organized by Department of Mathematics, NIT-Raipur during March 10-14, 2014. |
| 2. A talk entitled “Mathematical Modeling in Fractional Differential Equations and Its Applications” delivered in the National Level Short Term Training Programme on “Mathematical Modeling in Science and Engineering”, organized by Department of Mathematics, NIT-Raipur during July 02-06, 2014. |
| 3. A talk entitled “Preparation for CSIR-NET (JRF) Exam”, in the workshop on Carrier opportunity and Job fair organized by Department of Mathematics, Swami Vivekanand Govt. P.G College, Narsinghpur, Madhya Pradesh during March 25- 27, 2015. |
| 4. A talk entitled “Some Numerical Techniques for Solution of Fractional Differential Equations” delivered in the National Level Short Term Course on “Computational Techniques for Scientific & Engineering Problems” organized by the Department of Mechanical Engineering & Mathematics, Maulana Azad National Institute of Technology (MANIT), Bhopal during May 18-22, 2015. |
| 5. A Talk entitled “Recent Trends of Differential Equations in Engineering Problems” delivered in webinar organized by Sitamarhi Institute of Technology, Sitamarhi, Bihar during September 19, 2020. |
| 6. A Talk entitled “Numerical Solution of Nonlinear Equation via Iterative Method” delivered in webinar organized by Government Polytechnic Nawada, Bihar during October 11, 2020. |
| 7. A Talk entitled “Laplace Transform and their applications in Engineering Problems” delivered in webinar organized by Government Polytechnic Nalanda, Bihar during December, 2020. |
