Dr. Anoop Kumar

Contact Info
Dr. Anoop Kumar
9878187918
Academic Building, Room No.322, Third Floor, Block-B, Central University of Punjab Bathinda,
Dr. Anoop Kumar

Assistant Professor, Department of Mathematics and Statistics, School of Basic Sciences  

Qualification

Assistant Professor Department of Mathematics and Statistics School of Basic Sciences

Ph.D. Indian Institute of Technology Roorkee (I. I. T. Roorkee)

M.Sc. Indian Institute of Technology Roorkee (I. I. T. Roorkee)

B.Sc. H. N. B. Gharwal University (Central University)

Experience
Teaching Experience :

Assistant Professor, Central University of Punjab Bathinda

Continue from July15 to till date 

  

M.Sc. 1st Year - Central University of Punjab Bathinda

M.Sc. 2nd Year - Central University of Punjab Bathinda

Ph.D. Course - Central University of Punjab Bathinda

Continue from July15 to till date (Odd-Even Sem)

Continue from July15 to till date (Odd-Even Sem)

Continue from July15 to till date (Odd-Even Sem)

Assistant Professor, Cluster Innovation Centre(CIC) Delhi University (DU)

2014 (August) to 2015 (May) 09 Months

Research Experience: 7 Year

Administrative Experience: 

Academic Member/Convener: (Continue from July 15 to till date)

  • AAC Member (July 15 to June18)
  • AAC Convener (July 18 to till date)
  • BOS Member(Continue from July 15 to till date)
  • CDC Member (July 15 to till date)
  • CDC Convener (July 16 to June 18)
  • Admission Committee member(Continue from July 15 to till date)
  • Time Table Coordinator of M.Sc. Mathematics and Ph.D. Mathematics(July 15 to June 18)
  • Examination Coordinator of M.Sc. Mathematics and Statistics and Ph.D. Mathematics and Statistics(Jan 16 to June 18)
  • Presentation Coordinator of M.Sc. Mathematics(Continue from July 15 to till date)
  • Presentation Coordinator of Ph.D. Mathematics(Continue from July 16 to June 18)
Research Area

  • Areas of Interest/ Specialization:

    • First order hyperbolic system of NLPDEs
    • Shock Waves, Gas Dynamics, Similarity Method
    • Nonlinear Partial Differential Equations (PDEs)
    • Fractional Differential Equations
Research Grants/Projects

Research Grants

Completed

  1. Title of Project:  Solution of Heatlike and Wavelike Equations with Variable Coefficients by the He’s Variational Iteration Method (RSM - CUPB), Ref. No: CUPB/CC /16/OO/13, Dated: 22/04/2016
Professional Recognition/Awards/Scholarships

Awards/Scholarship

1.

Qualified National Eligibility Test (N E T) – CSIR-NET Dec. 2009.

2.

Qualified GATE (Graduate Aptitude Test in Engineering)-2010

3.

Junior Research Fellow (GATE fellowship) 2010- 2012, IIT Roorkee.

4.

Senior Research Fellow (GATE fellowship) 2012 -2014, IIT Roorkee.
5.  Research Award 2022, Central University of Punjab 
Research Collaboration

INTERNATIONAL COLLABORATIONS

Prof. Thabet  Abdeljawad

Department of Mathematics and General Sciences, Professor at Prince Sultan University Riyadh, Saudi Arabia

Prof. Dumitru Baleanu

Department of Mathematics, Institute of Space Sciences, Magurele-Bucharest, Romania

Dr. Aziz Khan

Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia

Prof. Vedat Suat Erturk 

Department of Mathematics, Ondokuz Mayis University, Atakum-55200, Samsun, Turkey

Prof. Mustafa Inc 

Department of Computer Engineering, China Medical University Hospital, China Medical University, Taichung, Taiwan

Dr. Hamadjam Abboubakar

Department of Computer Engineering, The University of Ngaoundéré, University Institute of Technology of Ngaoundéré, Cameroon

Dr. Zareen A. Khan,

Department of Mathematics, College of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia

Dr. Mohamed Houas,

Department of Mathematics, Khemis Miliana University, Laboratory FIMA, UDBKM, Algeria

 

NATIONAL COLLABORATIONS

Dr. Rajan  Arora

Department of Mathematics Applied Sciences and Engineering, I I T Roorkee, Indian

 
Publications
Papers:
  1. Amita Devi, Anoop Kumar, (2022), “Stability results and existence for fractional differential equation involving Atangana-Baleanu derivative with nonlocal integral conditions”, International Journal of Applied and Computational Mathematics, [Scopus], ACCEPTED.
  2. Mohamed Houas, Amita Devi, Anoop Kumar, (2022), “Existence and stability results for fractional-order pantograph differential equations involving Riemann-Liouville and Caputo fractional operators”, International journal of dynamics and control, [Scopus], ACCEPTED.
  3. Amita Devi, Aziz Khan, Anoop Kumar, Thabet Abdeljawad, (2022), “Numerical approximation of fractional order transmission of worms in wireless sensor network in sense of Caputo operator”, Progr. Fract. Differ. Appl., 1, No. 1, 1-15 (2022), [Scopus].
  4. Pallavi Bedi, Aziz Khan, Anoop Kumar, Thabet Abdeljawad, (2022) “Computational Study of Fractional-Order Vector Borne Diseases Model”, Fractals, 30(5), 2240149-1-13, 2022,  [Impact Factor=4.555], [SCI]
  5. Amita Devi, Anoop Kumar, (2022), “Existence and Uniqueness Results for Integro Fractional Differential Equations with Atangana-Baleanu Fractional Derivative”, Journal of Mathematical Extension, 15(5), 1-24, [Scopus], URL: http://www.ijmex.com.
  6. Amita Devi, Anoop Kumar, (2022), “Hyers-Ulam stability and existence of solution for a hybrid fractional differential equation with p-Laplacian operator”, Chaos, Solitons & Fractals, [Impact Factor=9.922], [SCI].
  7. Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan, (2021) “Mild solutions of coupled hybrid fractional order system with Caputo-Hadamard derivatives”, Fractals, 20(6), 2150158-1-10, 2021,  [Impact Factor=4.555], [SCI]
  8. Hamadjam Abboubakar, Pushpendra Kumar, Vedat Suat Erturk, Anoop Kumar, (2021), Prediction studies of the epidemic peak of coronavirus disease in Japan: From Caputo derivatives to Atangana–Baleanu derivatives, International Journal of Modeling, Simulation, and Scientific Computing,  Vol. 13 No.1 2250015, https://doi.org/10.1142/S179396232250012X [Scopus]
  9. Amita Devi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan, (2021), Stability analysis of solutions and existence theory of fractional Langevin equation, Alexandria Engineering Journal, 2021/60(4)/ 3641-3647, https://doi.org/10.1016/j.aej.2021.02.011, [Impact Factor=6.626], [SCI]
  10. Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan, (2021), Study of Hilfer fractional evolution equations by the properties of controllability and stability, Alexandria Engineering Journal, 2021/60(4)/ 3741-3749, https://doi.org/10.1016/j.aej.2021.02.014 [Impact Factor=6.626], [SCI]
  11. P. Kumar, VS. Erturk, Anoop Kumar, and M. Inc (2021), A New Technique to Solve Generalized Caputo-type Fractional Differential Equations with the Example of Computer Virus Model, Journal of Mathematical Extension, 2021/15/1-23, URL: http://www.ijmex.com [Scopus]
  12. Anoop Kumar, (2021) Study for particular solutions of cylindrical shock waves in magnetogasdynamics, Chinese Journal of Physics, 2021/69/285-294, https://doi.org/10.1016/j.cjph.2020.12.016, [Impact Factor=3.957], [SCI]
  13. Hamadjam Abboubakar, Lausaire Kemayou Komboub, Adamou Dang Koko, Henri Paul Ekobena Fouda, Anoop Kumar, (2021), Projections and fractional dynamics of the typhoid fever: A case study of Mbandjock in the Centre Region of Cameroon, Chaos, Solitons & Fractals, 2021/150(2021)111129/1-24, https://doi.org/10.1016/j.chaos.2021.111129, [Impact Factor=9.922], [SCI]   
  14. Pallavi Bedi, Anoop Kumar & Aziz Khan, (2021), Controllability of neutral impulsive fractional differential equations with Atangana-Baleanu-Caputo derivatives, Chaos, Solitons & Fractals, 2021/150(2021)111153/1-8, https://doi.org/10.1016/j.chaos.2021.111129, [Impact Factor=9.922], [SCI]
  15. Hamadjam Abboubakar, Pushpendra Kumar, Vedat Suat Erturk, Anoop Kumar, (2021), A mathematical study of a tuberculosis model with fractional derivatives, International Journal of Modeling, Simulation, and Scientific Computing,  2021/ (2021) 2150037, DOI: 10.1142/S1793962321500379 [Scopus]
  16. Pallavi Bedi, Anoop Kumar, Thabet Abdeljawaand Aziz Khan, (2020), S-asymptotically ω-Periodic Mild Solutions and Stability Analysis of Hilfer Fractional Evolution Equations, Evolution Equations, and Control Theory, 9(4), 1-16,  DOI: 10.3934/eect.2020089, [Impact Factor=1.269], [SCI]
  17. Pallavi Bedi, Anoop Kumar, Thabet Abdeljawa, Zareen A. Khan and Aziz Khan, (2020), Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators, Advances in Difference Equations, 2020/2020:615/1-15, https://doi.org/10.1186/s13662-020-03074-1, [Impact Factor=3.761], [SCI]
  18. Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan, (2020), Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations, Advances in Difference Equations,  2020:155, 2-16; https://doi.org/10.1186/s13662-020-02615-y [Impact Factor = 3.761], [SCI]
  19. Amita Devi, Anoop Kumar, Dumitru Baleanu and Aziz Khan, (2020), On stability analysis and the existence of positive solutions for general non-linear fractional differential equations, Advances in Difference Equations,  2020:300, 2-16; https://doi.org/10.1186/s13662-020-02729-3 [Impact Factor = 3.761], [SCI]
  20.  Amita Devi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan, (2020), Existence and stability analysis of solutions for fractional Langevin equation with nonlocal integral and anti-periodic-type boundary conditions,  Fractals,   28 (8) 2040006-12; DOI: 10.1142/S0218348X2040006X [Impact Factor = 4.555], [SCI]
  21. Mohd. Junaid Siddiqui, Rajan Arora, and Anoop Kumar, (3 March 2017) Shock wave propagation under the influence of the magnetic field, Chaos, Solitons, and Fractals. ISSN- 0960-0779, Vol. 97, pp. 66–74. [Impact Factor = 9.922], [SCI]
  22. Anoop Kumar and Rajan Arora, (June 2017) Similarity Solutions of Spherical Shock Waves in an Ideal Gas with Thermal Radiation, International Journal of Mathematical Archive,  ISSN- 2229 – 5046, Vol. 8(6), pp. 30–40.
  23.  Kumar, (2017), Numerical Solution of the Fractional Korteweg–de Vries (KDV) Equation by q-Homotopy Analysis Method (q-ham),  International Journal of Mathematical Archive, ISSN 2229 – 5046 -8(8), 189-197.
  24. Kumar, (2017), Numerical Solution of Fractional Model for Heat Conduction in Polar Bear Hairs Equation by q-homotopy Analysis Method (q-HAM), International Journal of Mathematics And its Applications. ISSN- 2347-1557, Vol. 5, Issue 1C, 385-393.
  25. Rajan Arora, Anoop Kumar, (2013), Solution of the Coupled Drinfeld’s–Sokolov–Wilson (DSW) System by Homotopy Analysis Method, Advanced Science, Engineering and Medicine, ISSN- 2164-6627, Vol. 5, pp. 1–7,. doi:10.1166/asem.2013.1399.
  26. Anoop Kumar, Rajan Arora, (2013), Solutions of the coupled system of Burgers’ equations and coupled Klein-Gordon equation by RDT Method, International Journal of Advances in Applied Mathematics and Mechanics Volume 1, Issue 2, pp. 103-115, ISSN: 2347-2529. [Impact Factor = 2.193]
  27. Rajan Arora, Anoop Kumar, (2011), Soliton Solution for the BBM and MRLW Equations by Cosine-function Method, Applied Mathematics; 1(2): 59-61(Scientific and Academic Publishing, p-ISSN: 2163-1409, e-ISSN: 2163-1425, DOI: 10.5923/j.am.20110102.09)
  28. R. Arora, A. Kumar, (2011), Soliton Solution of GKDV, RLW, GEW and GRLW Equations by Sine-hyperbolic Function Method, American Journal of Computational and Applied Mathematics.; 1(1): 1-4 (Scientific and Academic Publishing, p-ISSN: 2165-8935, e-ISSN: 2165-8943, DOI: 10.5923/j.ajcam.20110101.03).
Book Chapters:

1. Amita Devi, Anoop Kumar, Existence of solutions for fractional Langevin equation involving generalized Caputo derivative with periodic boundary conditions, AIP Conference Proceedings, 2214 (1), 020026 (2020); https://doi.org/10.1063/5.0003365

2. Anoop Kumar, Pallavi Bedi, On the mild solutions of impulsive semi-linear fractional evolution equations, Proceedings of International Conference on Trends in Computational and Cognitive Engineering, ISBN 978-981-15-5413-1, (2019).

Research Guidance

Ph.D. Students

S. No.

Name of Students

Title of Ph.D. Thesis

Fellowship

Ongoing/Awarded

1.

Ms. Pallavi Bedi

On the Existence of Mild Solutions of Some Fractional Differential Equations

CSIR-JRF

O

2.

Ms. Amita Devi

A Study on the Existence and Uniqueness of Solutions of Fractional Differential Equations

CSIR-JRF

O

3.

Ms. Kirti

A Study on the Existence and Controllability of Solutions of Fractional Differential Equations

UGC-JRF

O

4.

Mr. Sombir Dhaniya

Fractional Differential Equations 

UGC-JRF

O

M.Sc. Students

2022

Deepakshi, Mnorama Pandey, Neetu, Payal, Pragati Choudhary, Sahil, Rohit Kumar Dhama

2021

Adesh Meshram, Sadbhavana Rastogi, Dharmendra Godara, Jyoti Meena, Priya Rani, Anjali

2020

Pushpendra Kumar, Mahesh Kumar, Mohd Mukhter, Chhaya Midha, Kapil, Priya Bansal

2019

Shyam Kishor Singh, Vishnu Kumar Kumawat, Rahul Kumar, Mansoor Ali

2018

Noor Hassan, Pramod Kumar Nehara, Harish Yadav

2017

Tejpal Singh Paliwal, Gulam Haider

Conference/ Workshops/Seminars Attended

Workshop/School/Seminar/Special Training Programme:

  1. Attending 02 Days International Workshop organized by the Department of Mathematics, Govt. MGM PG College, Itarsi (MP), India, On the topic “Fractional Calculus and Computational Intelligence”, held on January, 6-7, 2022
  2. Attending One Day National Webinar organized by Library Resource Centre “Sushant University In collaboration with National Brain Research Centre (NBRC), Ministry of Science and Technology, (Government of India) Manesar GGN, held on June 25, 2021
  3. Attending 02 Days FDP Program organized by Germany in association with M/s DELLSOFT Technologies Pvt. Ltd. New Delhi, On the topic “Power System Design Simulation and Analysis using DIgSILENT Power Factory Software”, held on July, 27 - 28, 2021
  4. Attending One Week Faculty Development Program (FDP) organized by Madan Mohan Malaviya University of Technology, Gorakhpur, India, AICTE Training And Learning (ATAL) Academy Online Elementary FDP on "Mathematical Tools and Recent Advances in Applied Mathematics(MTRAAM)”, held on 16/08/2021 to 20/08/2021
  5. Attending One Day Online International Webinar organized by Springer Nature in Collaboration INFLIBNET Centre, on the topic The People and the Principles behind Nature- the what, the why, and the how held on 18th June-2020.
  6. Attending One Day Webinar National Workshop organized by Department of mathematics, Sant Longowal Institute of Engineering and Technology, Longowal-148106 (Punjab)on the topic Introduction to Maple-202, held on 29th June 2020.
  7. Attending Two Days Online International Webinar organized by Department of Computer Science, Baba Farid College, Bathinda, on the topic ARTIFICIAL INTELLIGENCE AND MACHINE LEARNING, held on 7th to 8th July-2020.
  8. Attending One Week online Faculty Development Programme organized by the Department of Electronics and Communications Engineering, Mahatma Gandhi Institute of Technology (MGIT), Hyderabad in Association with TASK, India, on the topic Simulation and Modeling of Data Communications and Networks, held on 27th to 31th July-2020.
  9. Attending One Day Online International Webinar organized by Department of Mathematics and Statistics, School of Basic Sciences, Manipal University Jaipur, on the topic Numerical and Scientific Computing, held on 28th July-2020.
  10. Attending One Day Online Webinar organized by Central Library, Manipur University in Collaboration with Springer Nature on the topic “Academic and Scientific Writing Catapulting Institutional Visibility” held on August 3, 2020.
  11. Attending One Day Online National Webinar organized by Department of Mathematics and Statistics, School of Basic Sciences, Manipal University Jaipur, on the topic Machine Learning and Mathematical Modeling, held on 7th August-2020.
  12. Attending One Day State Level Webinar organized by the Department of Physics in association with the Internal Quality Assurance Cell (IQAC) and Science Forum of the college, India, on the topic “ROLE OF MATHEMATICAL MODELING ON COVID-19 PANDEMIC, held on 07th August-2020.
  13. Attending Three Days International Webinar organized by Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University, Midnapore-721102, West Bengal, India, on the topic “The Role of Applied Mathematics in Present Global Crises,” held on 05th to 07th August-2020.
  14. Attending One Day Webinar organized by Department of Electronics and Communications Engineering, MGIT, Hyderabad, India, on the topic Applied Industrial Machine Learning, held on 09th August-2020.
  15. Attending One Week Faculty Development Program (FDP) organized by the Department of Applied Sciences and Humanities, with IQAC, Universal Engineering College, Vallivattom, Thrissur-680123, Kerala, India, on the topic "Discrete Mathematics, Graph Theory, and its Applications”, held on 17-21 August 2020.
  16. Attending One Day Online Webinar organized by Springer Nature in Collaboration with DelCON on the topic Trends in Biomedicine & Life Sciences Publishing and Nuances & Tools of Scientific Publishing of a webinar series on “All about Scientific Publishing-Trends, Nuances, Tools, Ethics, etc”, held on September 2, 2020.
  17. Attending One Day Online Webinar organized by Springer Nature in Collaboration with DelCON on the topic Abstracting & Indexing-how to get indexed and how to increase research impact of a webinar series on “All about Scientific Publishing-Trends, Nuances, Tools, Ethics, etc”, held on September 9, 2020.
  18. Attending One Days International Conference organized by Department of Mathematics, (DST FIST- Supported), Gujarat University Ahmedabad-380009, India, On the topic “Nature Inspired Dynamical Systems”, held on September 12, 2020
  19. Attending One Day Online Webinar organized by Springer Nature in Collaboration with DelCON on the topic Publishing Ethics in Biomedicine & Life Sciences Research of a webinar series on “All about Scientific Publishing-Trends, Nuances, Tools, Ethics, etc”, held on September 16, 2020.
  20. Attending One Week Faculty Development Program (FDP) organized by the Department of Mathematics and Scientific Computing, Madan Mohan Malaviya University of Technology, Gorakhpur, India, TEQIP-III Sponsored Faculty Development Programme on "Mathematical Tools and Recent Advances in Mathematics”, held on 21 – 25 September 2020.
  21. TLC Central University of Punjab Bathinda Under Pandit Madan Mohan Malviya National Mission on Teachers & Teaching, One Week Interdisciplinary National Workshop on Recent Advances in environment Studies, 25th march 2019 to 29th March 2019.
  22.  TLC Central University of Punjab Bathinda Under Pandit Madan Mohan Malviya National Mission on Teachers & Teaching, Two Week Interdisciplinary National Workshop on Environment Studies, 2nd September 2019 to 13th September 2019.
  23. UGC- Sponsored Orientation Programme, UGC- Human Resource Development Centre Punjabi University Patiala, 36th Orientation Programme, 21 May 2018 to 16 June 2018. 
  24. One Day National Workshop organized by Central University of Punjab Bathinda on the topic Maple soft Product Overview-Level 1 with Maple soft and Binary Semantics, held on 15th June 2017.
  25. National Seminar organized by the Central University of Punjab Bathinda on the topic Intellectual Property Rights Cell (IPR Cell) held on 30 January 2016.
  26. National Board of Higher Mathematics ATM Workshop on PDE and Mechanics, Jaypee University of Information Technology, Waknaghat, (Himachal Pradesh) 03-15 June 2013.
  27. National Seminar organized by Govt. Women Post Graduate College, Kandhla, Prabudh Nagar, U.P. (Affiliated to C.C.S. University, Meerut) held on December 24, 2011.
International: 

Publication in Conference Proceeding:

1. Amita Devi, Anoop Kumar, Existence of solutions for fractional Langevin equation involving generalized Caputo derivative with periodic boundary conditions, AIP Conference Proceedings, 2214 (1), 020026 (2020); https://doi.org/10.1063/5.0003365

2. Anoop Kumar, Pallavi Bedi, On the mild solutions of impulsive semi-linear fractional evolution equations, Proceedings of International Conference on Trends in Computational and Cognitive Engineering, ISBN 978-981-15-5413-1, (2019).

3. Rajan Arora, Anoop Kumar, Solution of the Drinfeld-Sokolov-Wilson (DSW) Equation by RDT Method, Mathematical Science International Research Journal. 2012, 1(1): 115-122. (International Multidisciplinary Research Foundation (IMRF), p-ISSN: 2278-8697, e-ISBN: 978-93-81583-55-5).

4. Anoop Kumar, Rajan Arora, Solution of the non-linear partial differential equations by RDT Method, Mathematics in Engineering, Science and Aerospace. ISSN- 2041-3165, 2014, Vol. 5, No. 2, pp.  105-112.

5. Anoop Kumar, Rajan Arora, Solution of the Nagumo’s equation by reduced differential transform method (RDT) Method, Mathematical Science International Research Journal. 2014, 3(1): 339-342. (International Multidisciplinary Research Foundation (IMRF), p-ISSN: 2278-8697, e-ISBN: 978-93-84124-03-8).

6.  Rajan Arora, Anoop Kumar, Solution of Linear and Nonlinear PDEs by the He’s Variational Iteration Method, Recent Advances in Intelligent Control, Modelling and Computational Science, ISBN: 978-960-474-319-3.

Conference Presentations:

  1. Solution of the Drinfeld-Sokolov-Wilson (DSW) Equation by RDT Method, September 13-14, 2012, Vijayawada, A.P., India.
  2. Solution of the non-linear partial differential equations by RDT Method, October 22-24, 2013, Graphic Era University Dehradun, India.
  3. Solution of the Nagumo’s equation by reduced differential transform method (RDT) Method, Chitkara University, Himachal Pradesh, India

 

Citations

Citations of Research Publications

My research publications have been cited 239 times with an h-index of 11 and an i10-index of 12 (Source: Google Scholar August 12, 2022). Total Impact Factor = 85.307