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ACADEMIC QUALIFICATIONS

• Applications of Differential Equations in Biology
• Mathematical Modelling of Biological Problems
• Epidemic Modelling
• Numerical Methods for ODE and PDEs
• Fractional Calculus

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PROJECTS

Title: “A numerical treatment of HIV infection through mathematical model” Principal Investigator: Dr. Praveen Kumar Gupta, Co-Principal Investigator: Dr. Pankaj Biswas, Duration: Two Years (30/03/2016 to 29/03/2018). 

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 AWARDS AND ACHIEVEMENTS

• I have been figured among the WORLD’S TOP 2% SCIENTISTS in a world database created by Stanford University, California, USA  in the year 2022 & 2023.
• The research article, “Numerical solution of tumor-immune model including small molecule drug by multi-step differential transform method” presented by Praveen Kumar Gupta has been selected as one of the best paper during the 13th International Conference on Computing, Engineering and Information Technology (ICCEIT 2019) held at Bangkok, Thailand during September 28-29, 2019.
• The research article, “Dynamical behaviour of fractional order tumor-immune model with targeted chemotherapy treatment” presented by Praveen Kumar Gupta has been selected as one of the best papers during the 3rd International Conference on Advances in Mechanical and Production Engineering 2018 (ICAMPE 2018) held at Bangkok, Thailand during March 19-20, 2018.
• NBHM-Post Doctoral Fellowship (July 2011)
• First Prize for Publication Scholarship in IIT-BHU (2011)
• Lifetime Member of Indian Mathematical Society (No. G-12-125 )
• Lifetime Member of Ramanujan Mathematical Society (No. 897)
• Lifetime Member of Indian Academy for Mathematical Modeling & Simulation (No. 151)
• Lifetime Member of Vijñāna Parishad of India (No. 253)
• Lifetime Member of Soft Computing Research Society (No. 2018-12-05-689)  

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SUBJECTS TAUGHT

• MA-101: Mathematics-I (UG)
• MA-102: Mathematics-II (UG)
• MA-201: Mathematics-III (UG)
• MA-6134: Mathematical Modelling (PG)
• MA-6102: Partial Differential Equations (PG)
• MA-5105: Computer Programming and Data Structures (PG)

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INVITED TALKS

• Invited lecture in webinar on “Mathematical Modeling of Diseases, emphasizing HIV-AIDS” at Swami Vivekanand Subharti University Meerut, Uttar Pradesh dated 24^th December 2021.
• Invited lecture on “Mathematical Modelling of HIV/AIDS Disease” during Second International Workshop on “Advanced Topics in Mathematics-2021”, organized by the Centre for Applied Mathematics, International Institute of Information Technology Naya Raipur, during October 08 – 12, 2021.
• Invited lecture on “Roots of linear and nonlinear equations” during Workshop on “Innovative and Contemporary Teachers’ Training in Mathematics” at NIT Silchar, Assam dated August 14-18, 2017.
• Invited lecture on “Stability Analysis of system of ODE” during “STTP on Ordinary and Partial Differential Equation: Analysis and Applications” at MANIT Bhopal, Madhya Pradesh dated May 27-31, 2014.
• Invited lab session on “Mathematica Software” during National Workshop on “Recent Trends on Bio-Mathematics & Statistics” at CMS, Banasthali University, Rajasthan dated November 02-05, 2012.

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  ADMINISTRATIVE RESPONSIBILITY

• Associate Warden, Boys Hostel-7 from September 2017 to September 2019.
• A Coordinator of Sponsored Project Monitoring Committee at NIT Silchar (2016-2018).
• A member of Anti Ragging Committee at NIT Silchar.
• Faculty Advisor of M.Sc. Students at NIT Silchar for the sessions January – May 2015 and July – December 2018.
• Secretary, Departmental Post-graduate Programme Committee (DPPC) of the Department of Mathematics, NIT Silchar.
• Departmental Member, Library Sub Committee, NIT Silchar.
• Departmental Member, Hindi Section, NIT Silchar.

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Ph.D. Students GUIDED

• Ms. Kiranta Kumari, “A study on partial differential equations using Laplace-Differential Transform Method” [2016].
• Mr. Ajoy Dutta, “A study on Mathematical Modelling of HIV/AIDS dynamics with transmission and treatment through stability analysis and homotopy analysis method” [2019].
• Mr. Biplab Dhar, “Mathematical study and Simulation on tumor-immune system with Targeted Chemotherapeutic Drug” [2021].
• Mr. Asish Adak [Ongoing].
• Ms. Arpita Devi [Ongoing].
• Ms. Shubhashree Sahu [Ongoing].

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M.Sc. Students GUIDED AT NIT SILCHAR

• Mr. Priyajit Das, (13-47-104), “Mathematical Modelling and Numerical Simulation of Heat transfer Equation”, (2015).
• Mr. Saumitra Shankar Paul (15-47-102), “A study on Prey-Predator model incorporating a prey refuge and a prey migration”, (2017).
• Ms. Debita Gole (15-47-106), “A study on SIR model with stability analysis” (2017).
• Ms. Disha Saikia (16-47-101), “A study on Hepatitis B virus model with fusion effect”, (2018).
• Ms. Yogita (18-47-108), “A mathematical study on Hepatitis C Virus”, (2020).
• Ms. Prasad Anjali Ramashankar Chandadevi (19-48-102), “Mathematical Modelling of Corona Virus Disease-2019: A Study during Imported Cases and Local Transmission”, (2021).
• Mr. Inderjeet Yadav (19-48-116), “A Study on Mathematical Modelling and Numerical Simulation of HIV/AIDS Disease”, (2021).
• Ms. Moirangthem Bidyaluxmi Devi (19-48-117), “Mathematical Modelling of Corona Virus Disease -2019: A Study during Community Transmission and Endemic”, (2021).
• Ms. Sarita Sihag (20-48-112), “A Study on Kidney Cancer: Approach through Mathematical Modelling and Numerical Simulation”, (2022).
• Ms. Sakshi Chauhan (20-48-118), “A Study on Lung Cancer: Approach through Mathematical Modelling and Numerical Simulation”, (2022).
• Ms. Shrestha Acharjee (21-48-104), (2023).
• Ms. Nitisha Pandey (21-48-108), (2023).

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CONFERENCE ORGANIZED

• General Chair, 27th International Conference of International Academy of Physical Sciences on Mathematical Modelling in Biological Sciences during October 26-28, 2021 at NIT Silchar.

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WORKSHOP ORGANIZED

• Organizing Secretary, One-week Workshop on “Mathematical Modelling using High Performance Numerical Computation” at the Department of Mathematics, National Institute of Technology Silchar, Assam, India during 29 September – 03 October 2018.
• Organizing Secretary, One-week Workshop on “Advances in Stability Analysis on Dynamical Systems” at the Department of Mathematics, National Institute of Technology Silchar, Assam, India during 08 – 12 March 2017.
• Organizing Secretary, One-week Workshop on “Recent Advances in Applied Mathematics” at the Department of Mathematics, National Institute of Technology Silchar, Assam, India during 22 February – 26 February 2017.

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Invited Session Chaired / Technical Committee of International / National Conferences / Workshop

• Chaired a Technical session in 4th National Conference on “Recent Advancement in Physical Sciences” organized by NIT Uttarakhand during December 19-20, 2022.
• Chaired a Technical session in 7^th IFAC “Advances in Control & Optimization of Dynamical Systems” organized by IIT Guwahati & NIT Silchar, Assam during February 22-25, 2022.
• Chaired a Technical session in Second International Workshop on “Advanced Topics in Mathematics-2021”, organized by the Centre for Applied Mathematics, International Institute of Information Technology Naya Raipur, during October 08 – 12, 2021.
• Chaired a Technical session in 2nd National Conference on “Recent Advancement in Physical Sciences” organized by NIT Uttarakhand during December 19-20, 2020.
• Chaired a Technical session in “International Conference on Modeling, Simulation and Optimization” organized by NIT Silchar, Assam during August 03-05, 2020.
• Technical Committee Member of 10^th International Conference on Mathematics & Computing organized by Kalasalingam Academy of Research and Education, Krishnankoil, Srivilliputhur, Tamil Nadu-626126 during January 2-3, 2024.
• Technical Committee Member of 7^th International Conference on Mathematics & Computing organized by Indian Institute of Engineering Science and Technology, Shibpur during March 02-05, 2021.
• Technical Committee Member of 6^th International Conference on Mathematics & Computing organized by Sikkim University, Gangtok, Sikkim during March 18-20, 2020.
• Technical Committee Member of 2^nd International Conference on “Information Technology and Applied Mathematics” organized by Haldia Institute of Technology, West Bengal during March 07-09, 2019.

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INTERNATIONAL JOURNALS

1. Moirangthem Bidyaluxmi Devi, Arpita Devi, Praveen Kumar Gupta, Dharmendra Tripathi, Response of vaccination on community transmission of COVID-19: a dynamical approach, The European Physical Journal Special Topics. (2022) 231:3749–3765 (Springer) (Citation: 1) (Impact Factor: 2.891) (ISSN 1951-6401) (SCI) (DOI: https://doi.org/10.1140/epjs/s11734-022-00652-0 ) (SJR 2021: 0.57) – Q2.
2. Ajoy Dutta and Praveen Kumar Gupta, Stability analysis of HIV/AIDS dynamics model during consideration of unaware and aware infective, Pramana – Journal of Physics, Volume 96, Issue 1, Article No. 42, pp. 1-11, 2022. (Impact Factor: 2.219) (ISSN 0973-7111) (SCI) (DOI: https://doi.org/10.1007/s12043-021-02288-6) (SJR 2020: 0.51) – Q2.
3. Biplab Dhar, Praveen Kumar Gupta, Mohammad Sajid, Solution of a dynamical memory effect COVID-19 infection system with leaky vaccination efficacy by non-singular kernel fractional derivatives, Mathematical Biosciences and Engineering, Volume 19, Issue 5, pp. 4341–4367, 2022. (Impact Factor: 2.080) (ISSN 1551-0018) (SCIE) (SJR 2020: 0.45) – Q2.
4. Biplab Dhar, Praveen Kumar Gupta and Ahmet Yildirim, Dynamical behaviour of a tumor-immune model focusing on the dosage of targeted chemotherapeutic drug, International Journal of Computer Mathematics, Accepted, 2022. (Taylor & Francis) (Impact Factor: 1.931) (ISSN 0020-7160) (SCIE) (SJR 2020: 0.55) – Q2.
5. Biplab Dhar and Praveen Kumar Gupta, A numerical approach of tumor-immune model with B cells and monoclonal antibody drug by multi-step differential transformation method, Mathematical Methods in the Applied Sciences, Volume 44, Issue 5, pp. 4058-4070, 2021. (Citation: 1) (Impact Factor: 2.321) (ISSN 1099-1476) (SCIE) (DOI: https://doi.org/10.1002/mma.7009) (SJR 2020: 0.72) – Q1.
6. Praveen Kumar Gupta and Ajoy Dutta, A mathematical model on HIV/AIDS with fusion effect: Analysis and Homotopy Solution, The European Physical Journal Plus, Volume 134, Issue 6, Article No. 65, pp. 1–9, 2019. (Citation: 6) (Impact Factor: 3.911) (ISSN 2190-5444) (SCIE) (DOI: https://doi.org/10.1140/epjp/i2019-12599-8) (SJR 2020: 0.65) – Q2.
7. Ajoy Dutta and Praveen Kumar Gupta, Numerical Solution with Analysis Of HIV/AIDS Dynamics Model with Effect of Fusion and Cure Rate, Numerical Algebra, Control and Optimization, Volume 9, Number 4, pp. 393-399, 2019. (Citation: 2) (Impact Factor: 0.91) (ISSN 2155-3289) (ESCI, Scopus) (DOI: http://www.aimsciences.org/article/doi/10.3934/naco.2019038) (SJR 2020: 0.3) – Q3.
8. Biplab Dhar and Praveen Kumar Gupta, Numerical Solution of Tumor-immune Model including small Molecule Drug by Multi-step Differential Transform Method, International Journal of Advanced Trends in Computer Science and Engineering, Vol. 8, Issue 5, pp. 1802-1807, 2019. (ISSN: 2278 – 3091) (Scopus) (DOI: https://doi.org/10.30534/ijatcse/2019/02852019).
9. Ajoy Dutta and Praveen Kumar Gupta, A mathematical model for transmission dynamics of HIV/AIDS with effect of weak CD4+ T cells, Chinese Journal of Physics, Volume 56, Issue 3, pp. 1045-1056, 2018. (Citation: 24) (Impact Factor: 3.237) (ISSN: 0577-9073) (SCIE) (DOI: https://doi.org/10.1016/j.cjph.2018.04.004) (SJR 2020: 0.59) – Q2.
10. Biplab Dhar and Praveen Kumar Gupta, Dynamical behaviour of fractional order tumor-immune model with targeted chemotherapy treatment, International Journal of Engineering and Technology, Vol. 7, Issue 2.28, pp. 6-9, 2018. (ISSN: 2227-524X) (Scopus) (DOI: https://doi.org/14419/ijet.v7i2.28.12872). 
11. Praveen Kumar Gupta, M. Singh and A. Yildirim, Approximate analytical solution of the time-fractional Camassa-Holm, modified Camassa-Holm and DegasPeris-Procesi Equations by Homotopy Perturbation method, Scientia Iranica, Transaction A: Civil Engineering, Volume 23, Issue 1, pp. 155-165, 2016. (Citation: 9) (Impact Factor: 1.435) (ISSN 1026-3098) (SCIE) (DOI: https://doi.org/10.24200/sci.2016.4600) (SJR 2020: 0.3) – Q2.
12. D. Tripathi, O.A. Beg, Praveen Kumar Gupta, G. Radhakrishnamacharya and J. Mazumdar, DTM Simulation of Peristaltic Viscoelastic Biofluid Flow in Asymmetric Porous Media: A Digestive Transport Model, Journal of Bionic Engineering, Volume 12, pp. 643–655, 2015. (Springer) (Citation: 39) (Impact Factor: 2.682) (ISSN 1672-6529) (SCIE) (DOI:  https://doi.org/10.1016/S1672-6529(14)60154-2)  (SJR 2020: 0.49) – Q3.
13. O. Anwar Bég, D. Tripathi, T. Sochi and Praveen Kumar Gupta, Adomian decomposition method simulation of magneto-biotribological squeeze film with magnetic induction effects, Journal of Mechanics in Medicine and Biology, Volume 15, Issue 5, pp. 1-23, 2015. (World Scientific) (Citation: 29) (Impact Factor: 0.897) (ISSN 0219-5194) (SCIE) (DOI: https://doi.org/10.1142/S0219519415500724) (SJR 2020: 0.24) – Q4.
14. Praveen Kumar Gupta, Jitendra Singh and Kabindra Nath Rai, A numerical study on Heat transfer in tissues during hyperthermia, Mathematical and Computer Modelling, Volume 57, Issue 5-6, pp. 1018-1037, 2013. (Elsevier) (Citation: 41) (Impact Factor: 1.366) (ISSN 0895-7177) (SCIE) (DOI: https://doi.org/10.1016/j.mcm.2011.12.050).
15. Praveen Kumar Gupta, Jitendra Singh, Kabindra Nath Rai and S.K. Rai, Solution of the heat transfer problem in tissues during hyperthermia by Finite difference-decomposition method, Applied Mathematics and Computation, Volume 219, Issue 12, pp. 6882-6892, 2013. (Elsevier) (Citation: 51) (Impact Factor: 4.091) (ISSN 0096-3003) (SCIE) (DOI: https://doi.org/10.1016/j.amc.2013.01.020) (SJR 2020: 0.97) – Q1.
16. Subir Das, Kumar Vishal and Praveen Kumar Gupta, Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method, Surveys in Mathematics and its Applications, Volume 8, pp. 35-49, 2013. (Impact Factor: 0.56) (ISSN 1842-6298) (Scopus) (SJR 2020: 0.19) – Q4.
17. Praveen Kumar Gupta and Swati Verma, A numerical study of Nonlinear Reaction-Diffusion Equation with different type of Absorbent term by Homotopy Analysis Method, Zeitschrift für Naturforschung A, Volume 67a, Issue 10/11, pp. 621-627, 2012. (Verlag–der–Zeitschrift–für–Naturforschung) (Citation: 2) (Impact Factor: 1.426) (ISSN 0932-0784) (SCIE) (DOI: https://doi.org/10.5560/ZNA.2012-0066) (SJR 2020: 0.29) – Q3.
18. Praveen Kumar Gupta, Ahmet Yildirim and Kabindra Nath Rai, Application of He’s homotopy perturbation method for multi-dimensional fractional Helmholtz equation, International Journal of Numerical Methods for Heat and Fluid Flow, Volume 22, Issue 4, pp. 424-435, 2012. (Emerald) (Citation: 19) (Impact Factor: 2.871) (ISSN 0961-5539) (SCIE) (DOI: https://doi.org/1108/09615531211215738) (SJR 2020: 0.85) – Q1.
19. Subir Das and Praveen Kumar Gupta, A mathematical model on fractional Lotka-Volterra equations, Journal of Theoretical Biology, Volume 277, Issue 1, pp. 1-6, 2011. (Elsevier) (Citation: 145) (Impact Factor: 2.691) (ISSN 0022-5193) (SCIE) (DOI: https://doi.org/10.1016/j.jtbi.2011.01.034) (SJR 2020: 0.66) – Q1.
20. Praveen Kumar Gupta and Mithilesh Singh, Homotopy perturbation method for fractional Fornberg-Whitham equation, Computer and Mathematics with Applications, Volume 61, Issue 2, pp. 250-254, 2011. (Elsevier) (Citation: 107) (Impact Factor: 3.476) (ISSN 0898-1221) (SCIE) (DOI: https://doi.org/10.1016/j.camwa.2010.10.045) (SJR 2020: 1.08) – Q1.
21. Praveen Kumar Gupta, Approximate analytical solutions of fractional Benney-Lin equation by reduced differential transformation and homotopy perturbation method, Computer and Mathematics with Applications, Volume 61, Issue 9, pp. 2829-2842, 2011. (Elsevier) (Citation: 83) (Impact Factor: 3.476) (ISSN 0898-1221) (SCIE) (DOI: https://doi.org/10.1016/j.camwa.2011.03.057) (SJR 2020: 1.08) – Q1.
22. Jitendra Singh, Praveen Kumar Gupta and Kabindra Nath Rai, Homotopy perturbation Method to space-time fractional solidification in a finite slab, Applied Mathematical Modelling, Volume 35, Issue 4, pp. 1937-1945, 2011. (Elsevier) (Citation: 32) (Impact Factor: 5.129) (ISSN 0307-904X) (SCIE) (DOI: https://doi.org/10.1016/j.apm.2010.11.005) (SJR 2020: 1.01) – Q1.
23. Subir Das, Praveen Kumar Gupta and Kumar Vishal, Solution of the nonlinear fractional diffusion equation with absorbent term and external force, Applied Mathematical Modelling, Volume 35, Issue 8, pp. 3970–3979, (Elsevier) (Citation: 27) (Impact Factor: 5.129) (ISSN 0307-904X) (SCIE) (DOI: https://doi.org/10.1016/j.apm.2011.02.003) (SJR 2020: 1.01) – Q1.
24. Subir Das, Praveen Kumar Gupta and Pradyumna Ghosh, An approximate solution of nonlinear fractional reaction-diffusion equation, Applied Mathematical Modelling, Volume 35, Issue 8, pp. 4071–4076, (Elsevier) (Citation: 38) (Impact Factor: 5.129) (ISSN 0307-904X) (SCIE) (DOI: https://doi.org/10.1016/j.apm.2011.02.004) (SJR 2020: 1.01) – Q1.
25. Jitendra Singh, Praveen Kumar Gupta and Kabindra Nath Rai, Solution of fractional bio-heat equation by finite difference method and HPM, Mathematical and Computer Modelling, Volume 54, Issue 9-10, pp. 2316-2325, 2011. (Citation: 50) (Elsevier) (Impact Factor: 1.366) (ISSN 0895-7177) (SCIE) (DOI: https://doi.org/10.1016/j.mcm.2011.05.040).
26. Subir Das, Kumar Vishal, Praveen Kumar Gupta and Ahmet Yildirim, An approximate analytical solution of time-fractional telegraph equation, Applied Mathematics and Computation, Volume 217, Issue 18, pp. 7405-7411, 2011, (Elsevier) (Citation: 60) (Impact Factor: 4.091) (ISSN 0096-3003) (SCIE) (DOI: https://doi.org/10.1016/j.amc.2011.02.030) (SJR 2020: 0.97) – Q1.
27. Dharmendra Tripathi, Praveen Kumar Gupta and Subir Das, Influence of Slip Condition on Peristaltic Transport of a Viscoelastic Fluid with Fractional Burgers’ model, Thermal Sciences, Volume 15, Issue 2, pp. 501-515, (Vinča Institute of Nuclear Sciences) (Citation: 35) (Impact Factor: 1.625) (ISSN 0354-9836) (SCIE) (DOI: https://doi.org/10.2298/TSCI1102501T) (SJR 2020: 0.34) – Q3.
28. Jitendra Singh, Praveen Kumar Gupta and Kabindra Nath Rai, Variational iteration method to solve moving Boundary problem with temperature dependent Physical properties, Thermal Sciences, Volume 15, Supplement 2, pp. S229-S239, 2011. (Vinča Institute of Nuclear Sciences) (Citation: 24) (Impact Factor: 1.625) (ISSN 0354-9836) (SCIE) (DOI: https://doi.org/10.2298/TSCI100226024S) (SJR 2020: 0.34) – Q3.
29. Subir Das and Rajnesh Kumar and Praveen Kumar Gupta, The homotopy analysis method for fractional Cauchy reaction–diffusion problems, International Journal of Chemical Reactor Engineering, Volume 9, A15, pp. 1-19, 2011. (Citation: 5) (Impact Factor: 1.510) (ISSN 1542-6580) (SCIE) (DOI: https://doi.org/10.1515/1542-6580.2508) (SJR 2020: 0.27) – Q3.
30. Subir Das and Rajnesh Kumar and Praveen Kumar Gupta, Analytical approximate solutions of space-and time- fractional diffusion equation with a moving boundary condition, Zeitschrift für Naturforschung A, Volume 66a, Issue 5, pp. 281-288, 2011. (Verlag–der–Zeitschrift–für–Naturforschung) (Citation: 10) (Impact Factor: 1.426) (ISSN 0932-0784) (SCIE) (DOI: https://doi.org/10.1515/zna-2011-0503) (SJR 2020: 0.29) – Q3.
31. Subir Das and Praveen Kumar Gupta, Application of Homotopy Perturbation Method and Homotopy Analysis Method to Fractional Vibration Equation, International Journal of Computer Mathematics, Volume 88, Issue 2, pp. 430-441, 2011. (Taylor & Francis) (Citation: 16) (Impact Factor: 1.931) (ISSN 0020-7160) (SCIE) (DOI: https://doi.org/10.1080/00207160903474214) (SJR 2020: 0.55) – Q2.
32. Subir Das and Praveen Kumar Gupta, Homotopy Analysis Method for Solving Fractional Hyperbolic Partial Differential Equations, International Journal of Computer Mathematics,, Volume 88, Issue 3, pp. 578-588, 2011. (Taylor & Francis) (Citation: 26) (Impact Factor: 1.931) (ISSN 0020-7160) (SCIE) (DOI: https://doi.org/10.1080/00207161003631901) (SJR 2020: 0.55) – Q2.
33. Dharmendra Tripathi, Mithilesh Kumar Chaube and Praveen Kumar Gupta, Stokes flow of micro-polar fluids by peristaltic pumping through a tube with slip boundary condition, Applied Mathematics and Mechanics, Volume 32, Issue 12, pp. 1587-1598, (Springer-Verlag) (Citation: 14) (Impact Factor: 2.866) (ISSN 0253-4827) (SCIE) (DOI: https://doi.org/10.1007/s10483-011-1525-6) (SJR 2020: 0.5) – Q2.
34. Mithilesh Singh and Praveen Kumar Gupta, Homotopy perturbation method for time-fractional shock wave equation, Advances in Applied Mathematics and Mechanics, Volume 3, Issue 6, pp. 774-783, 2011. (Citation: 5) (Impact Factor: 0.844) (ISSN 2070-0733) (SCIE) (DOI: https://doi.org/10.4208/aamm.10-m1137) (SJR 2020: 0.61) – Q2.
35. Praveen Kumar Gupta, An approximate analytical solution of nonlinear fractional diffusion equation by homotopy analysis method, International Journal of the Physical Sciences, Volume 6, Issue 34, pp. 7721-7728 (16 December 2011) (Citation: 1) (ISSN 1992 – 1950) (SCOPUS) (DOI: https://doi.org/10.5897/IJPS.9000057).
36. Praveen Kumar Gupta, Jitendra Singh and Kabindra Nath Rai, Numerical Simulation for Heat Transfer in tissues during Thermal therapy, Journal of Thermal Biology, Volume 35, Issue 6, pp. 295-301, 2010 (Citation: 87) (Elsevier) (Impact Factor: 1.902) (ISSN 0306-4565) (SCIE) (DOI: https://doi.org/10.1016/j.jtherbio.2010.06.007) (SJR 2020: 0.72) – Q1.
37. Subir Das, Praveen Kumar Gupta, Vinod Shankar Pandey and Kabindra Nath Rai, Application of He’s Homotopy Perturbation Method to Fractional Diffusion Equations, Zeitschrift für Natur-forschung, Volume 65a, Issue 1, pp. 53-58 (2010) (Citation: 3) (Verlag–der–Zeitschrift–für–Naturforschung) (Impact Factor: 1.426) (ISSN 0932-0784) (SCIE) (DOI: https://doi.org/10.1515/zna-2010-1-204) (SJR 2020: 0.29) – Q3.
38. Subir Das and Praveen Kumar Gupta, An Approximate Analytical Solution of the Fractional Diffusion Equation with Absorbent Term and External Force by Homotopy Perturbation Method, Zeitschrift für Naturforschung, Volume 65a, Issue 3, pp. 182-190 (2010) (Citation: 33) (Verlag–der–Zeitschrift–für–Naturforschung) (Impact Factor: 1.426) (ISSN 0932-0784) (SCIE) (DOI: https://doi.org/10.1515/zna-2010-0305) (SJR 2020: 0.29) – Q3.
39. Subir Das, Praveen Kumar Gupta, and Rajeev, A Fractional predator-prey Model and its Solution, International Journal of Nonlinear Sciences and Numerical Simulation, Volume 10, Issue 7, pp. 873-876 (2009) (Freund Pub. House Ltd.) (Citation: 55) (Impact Factor: 2.007) (ISSN 2191-0294) (SCIE) (DOI: https://doi.org/10.1515/ IJNSNS.2009.10.7.873) (SJR 2020: 0.42) – Q2.

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INTERNATIONAL CONFERENCES

• Oral presentation a research paper entitled “Numerical solution of tumor-immune model including small molecule drug by multi-step differential transform method“ by Praveen Kumar Gupta in the 3rd International Conference on Advances in Mechanical and Production Engineering (ICAMPE 2018) held at Bangkok, Thailand, during September 28-29, 2019
• Oral presentation a research paper entitled “Dynamical behavior of fractional order tumor-immune model with targeted chemotherapy treatment “ by Praveen Kumar Gupta in the 3rd International Conference on Advances in Mechanical and Production Engineering (ICAMPE 2018) held at Royal Orchid Sheraton Hotel & Towers, Bangkok, Thailand, during March 19-20, 2018
• Oral presentation a research paper entitled “Numerical solution with analysis of HIV/AIDS dynamics model with effect of fusion and cure rate“ by Praveen Kumar Gupta in the 3rd International Conference on Advances in Mechanical and Production Engineering (ICAMPE 2018) held at Universiti Putra Malaysia, Kualalumpur, Malaysia, during February 06-08, 2018
• Oral presentation a research paper entitled “Local and Global Stability of Fractional Order HIV/AIDS Dynamics Model” presented by Dr. Praveen Kumar Gupta in the 4th International Conference on Mathematics and Computing (ICMC 2018) to be held at IIT (BHU), Varanasi, India during January 09-11, 2018.
• Oral presentation a research paper entitled “Mathematical Modelling and analysis of the spread of HIV/AIDS epidemic” by Praveen Kumar Gupta in the International Conference on Mathematical Modelling and Simulation held at Department of Mathematics, Banaras Hindu University, Varanasi, India, during August 29 – 31, 2016
• Oral presentation a research paper entitled “Analytical Approach to Multi-Dimensional Fractional Helmholtz Equation“ presented by S. Tutkun [with A. Yildirim, Praveen Kumar Gupta] in the 1079th AMS Meetings held at University of South Florida, Tampa, Florida, during March 10 – 11, 2012.
• Oral presentation a research paper entitled “An Efficient Technique for solving Time-Fractional Telegraph equation“ by D. Sunay [with A. Yildirim, S. Das, K. Vishal, Praveen Kumar Gupta, A. Heidari] in the International Conference on Applied Analysis and Algebra held at Yildiz Technical University, Istanbul, Turkey, during June 29 – July 02, 2011
• Oral presentation a research paper entitled “Approximate Analytical solution of Fractional Lotka-Volterra Equation“ by Praveen Kumar Gupta [with S. Das] in the International Congress of Mathematicians conducted by University of Hyderabad, Hyderabad, India, during August 19 – 27, 2010.

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NATIONAL CONFERENCES

• Oral presentation a research paper entitled “Numerical study for the model of HIV infection of CD4+ T cells” by Praveen Kumar Gupta in the 15th Annual Conference of Society of Statistics, Computer and Applications held at Department of Mathematics and Statistics, Banasthali University, Banasthali, India, during February 24 – 26, 2013
• Oral presentation a research paper entitled “Solution of Fractional Schrödinger Equation by Homotopy Analysis Method” by Praveen Kumar Gupta in the National Conference on “Mathematical Modeling and Computer Simulation” held at Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India, during March 25 – 27, 2011
• Oral presentation a research paper entitled “Application of He’s Homotopy Perturbation Method to Fractional Diffusion equations” by Praveen Kumar Gupta in the National Conference on “Recent Trends in Mathematical Sciences” held at Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India, during March 18 – 20, 2010.
• Oral presentation a research paper entitled “A fractional predator-prey model and its solution” by Praveen Kumar Gupta in the Application of mathematical methods in physical problems held at Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, East-Sikkim, during December 18 – 23, 2009. 

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BOOK CHAPTERS