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Dr. Harendra Singh
Assistant Professor & Head,
Department of Mathematics,
Post Graduate College Ghazipur,
(V. B. S. Purvanchal University),
Ghazipur-233001, U.P., India.
Mob. No.: +91-9792383225
Email- harendra059@gmail.com ; harendrasingh.rs.apm12@iit.bhu.ac.in
Research Gate: https://www.researchgate.net/profile/Harendra_Singh10 .
Google Scholar:https://scholar.google.co.in/citations?user=nWekbusAAAAJ&hl=en.
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56467604000 .
Mendeley ID: https://www.mendeley.com/profiles/harendra-singh5/ .
Publons ID: https://publons.com/researcher/3723597/harendra-singh/ .
__________________________________________________________________
VISION
To contribute through dedication, hard work and sincerity towards the overall growth of the college by employing my academic, technical and research knowledge.
MESSAGE
· Help to Needy Peoples.
· Work with honesty.
· Work is worship.
· Never Harm to Other Peoples.
PERSONAL DETAILS
Date of Birth June 30, 1990
Nationality Indian
Sex Male
Hobby Research
Language Hindi, English
Marital Status Married (with dear Priti Singh)
Postal Address Department of Mathematics, Post Graduate College Ghazipur
233001, Uttar Pradesh, India.
Residential: Vill- Khajuri, Post- Katra, Dist- Raebareli- 229204, Uttar Pradesh
India.
ACADEMIC QUALIFICATION
· PDF- National Institute of Science Education and Research (NISER) Bhubaneswar.
· Ph. D. - Indian Institute of Technology (BHU) Varanasi. Course Work (CPI-10/10).
Thesis. Weak Asymptotic Approach to System of Conversation Laws and Fractional Partial Differential Equations
· M. Sc. - Mathematics, Banaras Hindu University, Varanasi, 2012, I Div (CPI-9.47/10).
· B. Sc. - Mathematics and Physics, C. S. J. M., University Kanpur, 2010, I Div. (Percentage-66.67).
· Intermediate- H. N. Inter College, Unchahar, U. P. Board, Allahabad, 2007, I Div. (Percentage-84.80).
· High School- H. N. Inter College, Unchahar, U. P. Board, Allahabad, 2005, I Div. (Percentage-76.67).
HONORS AND AWARDS
· UGC-JRF (Ministry of Human Resource Development): From September 2012 to September 2014.
· UGC-SRF (Ministry of Human Resource Development): From September 2014 to November 2016.
· NISER-PDF (Department of Atomic Energy): From January 2017 to August 2017.
· International Travel support from Indian Institute of Technology (BHU) Varanasi in 2016.
· Listed in top 2% scientist in the world published by Stanford University.
· Listed in top scientist by ADE indexing.
· GATE 2012.
· NBHM (Ph.D.), 2013.
· CSIR-NET JUNE, 2013.
· UGC-JRF, 2014.
· Best paper award in third international conference on mathematical modelling applied analysis and computation, JECRC University Jaipur-2020.
· Best presentation award in international workshop on recent trends in applied mathematics and research methodology, MGM College Itarsi-2021.
COURSE TAUGHT
· Algebra and Trigonometry.
· Real Analysis-I.
· Real Analysis-II.
· Measure and Integration.
RESEARCH INVOLVEMENT
· Fractional Differential Equations (FDEs).
· Numerical Techniques.
· Calculus of variations.
· Integral Equations.
· Numerical Solutions of Nonlinear Problems Arising in Applied Sciences and Engineering.
TEACHING EXPERIENCE
• Assistant Professor in Post-Graduate College, Ghazipur, 233001, Uttar Pradesh India from August. 31, 2017 to till now.
Ph.D. SUPERVISION
1. Mr. Amit Kumar Singh, (June, 2019) (Submitted).
2. Mr. Ramta Ram Pathak, (November, 2021) (In progress).
3. Mr. Shiva Yadav, (February, 2023) (In progress).
CITATION STRUCTURE OF MY RESEARCH PAPERS
Citations 1287
h-index 24
i10-index 35
PUBLISHED/ACCEPTED PAPERS IN JOURNALS (SCI AND SCOPUS)
1. Harendra Singh, “Approximate solution of fractional vibration equation using Jacobi polynomials”, “Applied Mathematics and Computation”, Vol. 317 (2018) 85-100. (Elsevier) (SCI).
2. Harendra Singh, “An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics”, “Astrophysics and Space science’’. Vol. 363 (4) (2018) 363-71. (Springer) (SCI).
3. H. Singh, Analysis for fractional dynamics of Ebola virus model, Chaos solitons & fractals, 138, 109992, 2020. (Elsevier) (SCI).
4. H. Singh, Jacobi collocation method for the fractional advection‐dispersion equation arising in porous media, Numerical methods for partial differential equations, 2020. (Wiley) (SCI).
5. H. Singh, Analysis of drug treatment of the fractional HIV infection model of CD4+ T-cells, Chaos, Solitons & Fractals 146, 110868 (Elsevier) (SCI).
6. Harendra Singh, “A New Numerical Algorithm for Fractional Model of Bloch Equation in Nuclear Magnetic Resonance”, “Alexandria Engineering Journal”. Vol. 55 (2016), 2863-2869. (Elsevier) (SCI).
7. Harendra Singh, “Operational matrix approach for approximate solution of fractional model of Bloch equation”, “Journal of King Saud University- Science”. 29 (2) (2017), 235-240. (Elsevier) (SCI).
8. H. Singh, Chebyshev spectral method for solving a class of local and nonlocal elliptic boundary value problems, I. J. Nonlinear science and numerical simulations, 2021. (De-Gruyter)
9. Harendra Singh, “A new stable algorithm for fractional Navier-Stokes equation in polar coordinate”, “International Journal of Applied and Computational Mathematics”. 3 (4), (2017), 3705-3722. (Springer) (Scopus).
10. Harendra Singh, Numerical Simulation for Fractional Delay Differential Equations, International journal of dynamic and control, 9, pages 463–474 (2021). (Springer) (Scopus).
11. H. Singh, Solving a class of local and nonlocal elliptic boundary value problems arising in heat transfer, Heat Transfer, 2021. (Wiley) (Scopus)
12. Harendra Singh, “Solution of fractional Lienard equation using Chebyshev operational matrix method”, “Nonlinear Sci. Lett. A”. Vol. 8 (4) (2017), 397-404. (Scopus)
13. Harendra Singh, H. M. Srivastava, D. Kumar, “A reliable algorithm for the approximate solution of the nonlinear Lane-Emden type equations arising in astrophysics”, “Numerical Methods for Partial Differential Equations”, Vol. 34 (5) (2018), 1524-1555. (Wiley) (SCI).
14. Harendra Singh, H. M. Srivastava, D. Kumar,“A reliable numerical algorithm for the fractional vibration equation”, “Chaos, Solitons and Fractals”. Vol. 103 (2017), 131-138. (Elsevier) (SCI).
15. C. Singh, Harendra Singh, V. K. Singh, Om P. Singh, “Fractional order operational matrix methods for fractional singular integro-differential equation”, Applied Mathematical Modelling, Vol. 40 (2016), 10705-10718. (Elsevier) (SCI)
16. Harendra Singh, R. K. Pandey, D. Baleanu, “Stable numerical approach for fractional delay differential equations”, “Few-Body System”, Vol. 58 (2017), 156. (Springer) (SCI).
17. Harendra Singh, M. R. Sahoo, Om P. Singh, “Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws”, Electronic journal of differential equation, Volume 2015 (2015), No. 01, Pages 1-12. (Texas State University) (SCI).
18. M. R. Sahoo, Harendra Singh, “Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws II”, Electronic journal of differential equation, Volume 2016 (2016), No. 94, Pages 1-14. (Texas State University) (SCI).
19. Harendra Singh, C. S. Singh, “Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix”, “Ain Shams Engineering Journal”, 9 (2018), 717-725. (Elsevier) (SCI).
20. Harendra Singh, C. S. Singh, “A reliable method based on second kind Chebyshev polynomial for the fractional model of Bloch equation”, “Alexandria Engineering Journal”,57 (3) (2018), 1425-1432.(Elsevier) (SCI).
21. Harendra Singh, M. R. Sahoo, Om P. Singh, “Numerical method based on Galerkin approximation for the fractional advection-dispersion equation”,“International Journal of Applied and Computational Mathematics”, 3 (3), (2017), 2171-2187. (Springer) (Scopus).
22. Harendra Singh, H. M. Srivastava, Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients, Physica A 523 (2019), 1130-1149. (Elsevier) (SCI).
23. C. S. Singh, Harendra Singh, Somveer Singh, Devendra Kumar, An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics, Physica A 525 (2019), 1440-1448. (Elsevier) (SCI).
24. Harendra Singh, Devendra Kumar, Jagdev Singh, C.S. Singh, A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation, Engineering Transactions, 67(1): (2019) 21–34. (SCI).
25. Harendra Singh, R. K. Pandey, H .M .Srivastava, Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials, Mathematics, 7 (3), (2019), 224. MDPI (SCI)
26. Harendra Singh, R. K. Pandey, J. Singh, M. P. Tripathi, A reliable numerical algorithm for fractional advection-dispersion equation arising in contaminant transport through porous media, Physica A 527 (2019), 121077. (Elsevier) (SCI).
27. Harendra Singh, F. A. Ghassabzadeh, E. Tohidi, C. Cattani, Legendre spectral method for the fractional Bratu problem, Mathematical Methods in the Applied Sciences 43 (9), 5941-5952, 2020. (SCI).
28. H Singh, D Baleanu, HM Srivastava, H Dutta, NK Jha, Solution of multi-dimensional Fredholm equations using Legendre scaling functions, Applied Numerical Mathematics 150, 313-324, 2020. (SCI).
29. H. Singh, H. M. Srivastava, Numerical Simulation for Fractional-Order Bloch Equation Arising in Nuclear Magnetic Resonance by Using the Jacobi Polynomials, Applied Sciences 10 (8), 2850, 2020. (SCI)
30. S Tiwari, RK Pandey, H Singh, J Singh, Embedded Pseudo-Runge-Kutta Methods for First and Second Order Initial Value Problems, Science & Technology Asia 25 (1), 128-141, 2020. (Scopus)
31. H. Singh, H. M. Srivastava, Numerical Investigation of the Fractional-Order Liénard and Duffing Equations Arising in Oscillating Circuit Theory, Front. Phys. 8:120, 2020. (SCI).
32. H. Singh, D. Kumar, R. K. Pandey, An efficient computational method for the time-space fractional Klein-Gordon equation, Frontier in Physics, 8:281, 2020. (SCI).
34. H. Singh, D. Baleanu, J. Singh, H. Dutta, Computational study of fractional order smoking model, chaos solitons & fractals, 142, 110440, 2021. (SCI).
35. H. Singh, H. M. Srivastava, Z. Hammouch, K. S. Nisar, Numerical Simulation and Stability Analysis for the Fractional-Order Dynamics of COVID-19, Results in Physics, 20, 103722, 2021. (SCI).
36. F. A. Ghassabzadeh, E. Tohidi, H. Singh, S. Shateyi, RBF collocation approach to calculate numerically the solution of the nonlinear system of qFDEs, Journal of King Saud University - Science, 33 (2), 101288, 2021. (SCI).
37. P. Veeresha, D, G, Prakasha, A. H. Abdel-Aty, H. Singh, E. E. Mahmoud, S. Kumar, An efficient approach for fractional nonlinear chaotic model with Mittag-Leffler law, Journal of King Saud University - Science, 33 (2), 101347, 2021. (SCI).
38. H. Singh, A. K. Singh, R. K. Pandey, D. Kumar, J. Singh, An efficient computational approach for fractional Bratu’s equation arising in electrospinning process, Mathematical methods in applied sciences, 44(13), 10225-10238, 2021. (SCI).
39. H. Singh, A. M. Wazwaz, Computational Method for Reaction Diffusion-Model Arising in a Spherical Catalyst, I. J. Applied and computational mathematics, 7, 65, 2021. (Scopus)
40. M. K. Srivastava, P. Singh, V. K. Shukla, H. Singh, V. Singh, Multi-switching compound synchronization of different chaotic systems with external disturbances and parametric uncertainties via two approaches, I. J. Applied and computational mathematics, 2021. (Scopus)
41. H. Singh, A. K. Singh, Numerical simulation for fractional Bloch equation arising in nuclear magnetic resonance, Nonlinear Studies 28 (2), 531-548, 2021. (Scopus).
42. V. M. Tripathi, H. M. Srivastava, Harendra Singh, Chetan Swarup, Sudhanshu Aggarwal, Mathematical Analysis of Non-Isothermal Reaction-Diffusion Models Arising in Spherical Catalyst and Spherical Biocatalyst, Appl. Sci. 2021, 11, 10423. (SCI) (MDPI)
43. V. K. Baranwal, R. K. Pandey, M. P. Tripathi, Harendra Singh, Sushila, Semi-Analytic Solutions of Electrohydrodynamic Flow in a Circular Cylinder Conduit, Science & Technology Asia 26 (4), 182-196, 2021. (Scopus).
44. M. S. Panwar, C. P. Yadav, Harendra Singh, T. M. Jawa, N. Ahmad, Latent Growth Curve Modeling for COVID-19 Cases in Presence of Time Variant Covariate, Computational Intelligence and Neuroscience, Volume 2022, Article ID 3538866. Hindawi (SCI).
45. Amit K. Pandey, Manoj P. Tripathi, Harendra Singh*, Pentyala S. Rao, Devendra Kumar, Dumitru Baleanu, “An efficient algorithm for the numerical evaluation of pseudo differential operator with error estimation” AIMS Mathematics, (2022). AIMS Press (SCI).
46. Harendra Singh, R. K. Pandey, “Approximate numerical solutions of fractional model of linear delay differential equation using Legendre scaling functions” published in proceedings of International conference on Fractional Differentiation and its Applications Novi Sad Serbia, July 18-20, 2016.
BOOK CHAPTER
1. H. Singh, “An efficient computational method for non-linear fractional Lienard equation arising in oscillating circuits”, Methods of Mathematical Modelling: Fractional Differential Equations, published by CRC Press Taylor & Francis Group.
2. R. K. Pandey, H. Singh, An Efficient Numerical Algorithm to Solve Volterra Integral Equation of Second Kind, Theory and Applications, published by Springer Nature. (2021).
BOOK PUBLISHED
1. Harendra Singh, D. Kumar, D. Baleanu, “Methods of Mathematical Modelling: Fractional Differential Equations”, published by CRC Press Taylor & Francis Group. (ISBN: 978-0-367-22008-2). https://doi.org/10.1201/9780429274114 .
2. Harendra Singh, J. Singh, S. D. Purohit, D. Kumar, Advanced Numerical Methods for Differential Equations: Applications in Science and Engineering. published by CRC Press Taylor & Francis Group. (ISBN: 978-0-367-47311-2).
3. H. Singh, H. Dutta, M. M. Cavalcanti, Topics in Integral and Integro Differential Equations - Theory and Applications, published by Springer
Nature. (ISBN: 978-3-030-65509-9). https://www.springer.com/gp/book/9783030655082 .
4. H. Singh, H. M. Srivastava, J. J. Nieto, Handbook of Fractional Calculus for Engineering and Science, published by CRC Press Taylor & Francis Group. (ISBN: 9781032047799). https://www.routledge.com/Handbook-of-Fractional-Calculus-for-Engineering-and-Science/Singh-Srivastava-Nieto/p/book/9781032047799 .
5. H. Singh, H. M. Srivastava, D. Baleanu, Methods of Mathematical Modelling: Infectious Disease, published by Elsevier Science. (ISBN: 9780323998888). https://www.elsevier.com/books/methods-of-mathematical-modelling/singh/978-0-323-99888-8.
6. Harendra Singh, H. M. Srivastava, R. K. Pandey, Special functions in fractional calculus and engineering, published by CRC Press Taylor & Francis Group. (ISBN: 9781032435008). https://www.routledge.com/Special-Functions-in-Fractional-Calculus-and-Engineering/Singh-Srivastava-Pandey/p/book/9781032435008
Invited Talks
1. “Numerical approximation of fractional derivatives and its applications to solve fractional models” in National Conference on Recent Advancements in Computational Mathematics and Engineering Sciences” (RACMES) during 9th -10th November 2019 organised by jointly Rajasthan Technical University, Kota and Vivekananda Institute of Technology, Jaipur.
2. “Numerical approximation of fractional derivatives and its applications to solve fractional models arising in science and engineering” in TEQIP-III sponsored three days FDP on Application of Mathematical Modelling in Science and Engineering during 25th -27th July, 2020 organised by jointly Rajasthan Technical University, Kota and Vivekananda Institute of Technology, Jaipur.
3. “How to write and publish a research paper in SCI journal” in TEQIP-III sponsored five days national workshop on Research methodologies and data analysis during 5th -9th January, 2021 organised by jointly Rajasthan Technical University, Kota and Arya Institute of Engineering & Technology, Jaipur.
4. “Overview of research methodology” in international workshop on Recent trends in applied mathematics and research methodology during 4th -5th March, 2021 organised by Gov. MGM PG College Itarsi, MP.
5. “Fractional derivatives approximations and its applications to solve fractional models arising in science and engineering” in 5 days national workshop on Differential equations: Theory, Analysis and Applications with Matlab during 12th -16th July, 2021 organised by DIT University Dehradun, Uttarakhand .
6. “Approximation of fractional derivatives with applications” in International conference on Science, Technology and Management ICSTM 2021 during July 31-Aug 01, 2021 organised by FIRMS India.
7. “Mathematical modelling using fractional derivatives” in 4th International conference on mathematical modelling applied analysis and computation (ICMMAAC-21), during 5th-7th August, 2021 organized by JECRC University Jaipur.
8. “How to write a research paper and select a suitable journal for it” in the 3rd Siksha ‘O’ Anusandhan Weekly Academic Lecture (SOAWAL), organized by the Centre for Applied Mathematics & Computing (CAM&C), Faculty of Engineering & Technology (ITER), Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar – 751030, India on August 14, 2021.
9. “Fractional derivative approximations and its applications” in a webinar organized by the University of Gonabad Iran on August 31, 2021.
10. “Fractional derivative approximations and its applications” in the refresher course on “Mathematical tools for physical and computational sciences” during 24 sep-8oct, 2021, organized by the UGC-Human Resource Development Centre, Dr. Harisingh Gour Vishwavidyalaya Sagar MP, India.
11. “How to write an effective research paper and select a suitable journal for it” in the refresher course on “Mathematical tools for physical and computational sciences” during 24 sep-8oct, 2021, organized by the UGC-Human Resource Development Centre, Dr. Harisingh Gour Vishwavidyalaya Sagar MP, India.
12. “Fractional derivative approximations with applications” in a three days international conference on “Advancement In Interdisciplinary Research (ICAIR 2021)” during Oct. 29-31, 2021, organised by Department of Mathematics Dr. Bhimrao Ambedkar University Agra UP and FIRMS India.
13. “Application of fractional derivatives” in a three days international conference “Academia International Conference on Mathematics and Mathematics Education” during Dec. 1-3, 2021, organised by Department of Mathematics SIIRT University Turkey.
14. “Fractional derivative approximations and their applications in science and engineering” in a special lecture series on Feb. 16, 2022, organised by Department of Mathematics King Mungkut’s University of Technology North Bangkok (KMUTNB).
15. “How to write an effective research paper and select a suitable journal for it” in a national webinar on Research Methodology on March 10, 2022, organised by Shri Neelkantheshwar Govt. P. G. College Khandwa MP, India.
16. “Solving Parabolic and Elliptic PDES using MATLAB” in a one week training workshop in Numerical methods in engineering and physical science with MATLAB during June 4-10, 2022, Organised by Math Tech Thinking Foundation (MTTF), India.
17. “Fractional derivative approximations and their applications” in a 1st international conference in mathematical sciences and interdisciplinary areas (RAM SIA-2022) during June 23-25, 2022, organised by GLA University Mathura UP, India.
18. “Solving partial differential equations using finite difference methods using MATLAB” in a one week national workshop cum training programme on scientific computing with MATLAB during July 11-15, 2022, organised by DIT university Dehradun, Uttarakhand, India.
19. “Solving PDES using finite difference scheme and MATLAB” in a one week training workshop on Numerical methods with MATLAB during Nov 26- Dec 02, 2022, Organised by Math Tech Thinking Foundation (MTTF), India.
WORKSHOP/SEMINAR ORGANISED
1. A one day seminar “Basics of Mathematics” on the occasion of national Mathematics day in the department of Mathematics, P. G. College Ghazipur UP on 22-12-2021.
2. A five day international workshop on “Recent trends in modeling and its applications”, in the department of Mathematics, P. G. College Ghazipur UP during 04-09-2022 to 08-09-2022.
3. A one day seminar on “Professional opportunities and careers in social sectors” in the department of Mathematics, P. G. College Ghazipur UP on 19-09-2022.
4. A one day seminar “A brief introduction to Brachistochrone problem and its solution” on the occasion of national Mathematics day in the department of Mathematics, P. G. College Ghazipur UP on 22-12-2022.
GUEST EDITOR IN INTERNATIONAL JOURNALS
1. Journal of King Saud University- Science (JKSU-S). Elsevier, SCIE, I. F.=3.635.
2. Mathematics, MDPI, SCIE IF=2.5.
3. Frontier in Physics, Frontier, SCIE, IF=3.5.
4. Mathematical Problems in Engineering, Hindawi Publication, USA, SCIE, Q3, IF. 1.305. https://www.hindawi.com/journals/mpe/ .
5. Information Sciences letters, an international journal. Natural Sciences, (Scopus). http://www.naturalspublishing.com/show.asp?JorID=6&pgid=33
CONFERENCE ATTENDED
1. “A new stable numerical algorithm for fractional model of Bloch equation in nuclear magnetic resonance” in National Conference on Analysis and Applications Banaras Hindu University, during February 5-7, 2016.
2. “Approximate numerical solutions of fractional model of linear delay differential equation using Legendre scaling functions” in International conference on Fractional Differentiations and its Applications University of Novi Sad Serbia, during July 18-20, 2016.
3. “Solving the nonlinear fractional variational problems using shifted Chebyshev polynomial of third kind”, in International conference of the Indian Mathematics consortium (TIMC) 2016.
4. “Numerical solutions of fractional model of linear delay differential equation”, in International Conference on Mathematical Modeling and Simulation Banaras Hindu University, during August 29-31, 2016.
5. “A new approach for fractional model of Bloch equation in nuclear magnetic resonance”, in IIT (BHU) on institute day.
6. “Analysis of fractional dynamics of Ebola model”, in 3rd international conference on Mathematical modelling, applied analysis and computation JECRC University, Jaipur Rajasthan, during August 7-9, 2020.
WORKSHOP ATTENDED
1. Advanced level research workshop on “Mathematical Modeling of Environmental, Ecological and Epidemiological systems”, Banaras Hindu University, during August 24-29, 2016.
2. “Wavelets and their application in signal and image processing”, Department of Mathematical Sciences IIT (BHU) Varanasi, during December
21-25, 2017.
3. “Fractional Derivatives and Its Applications”, Department of Mathematical Sciences IIT (BHU) Varanasi, during January 30 to February 03, 2018.
4. “4-Week orientation programme” organized by Ramanujan College under PMMMNTM scheme, during June 26 to July 24, 2020.
5. “2-Week FDP on managing online classes and co-creating MOOCS 3.0” organized by Ramanujan college under PMMMNTM scheme, during July 25 to August 10, 2020.
6. “2-Week refresher course in Mathematics” organized by Ramanujan College under PMMMNTM scheme, during March 16 to March 31, 2021.
REVIEWER OF JOURNALS
1. Applied Mathematics and Computations.
2. Chaos Solitons & Fractals
3. Physica A.
4. Astrophysics and Space Science.
5. Numerical Methods for Partial Differential Equations.
6. Mathematical Modelling of Natural Phenomena.
7. Alexandria Engineering Journal.
8. Asian Research Journal of Mathematics.
9. Applications and Applied Mathematics.
10. Applied Mathematics and Non-linear Sciences.
COMPUTER SKILL
I have well knowledge of Mathematical software MATLAB, MATHEMATICA and paper writing software Latex, Word, Power Point.
MY SOME NATIONAL COLLABORATORS
1. Dr. R. K. Pandey (Supervisor), Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University, Varanasi, India.
2. Dr. Manas Ranjan Sahoo, Department of Mathematical Sciences National Institute of Science Education and Research (NISER) Khurda Bhubaneswar Odisha India.
3. Dr. V. K. Singh, Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University, Varanasi, India.
4. Dr. M. P. Tripathi, Udai Pratap Autonomous College, Varanasi, 221002, India.
5. Dr. D. Kumar, Department of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan, India.
6. Dr. J. Singh, Department of Mathematics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur 303 901, Rajasthan, India.
7. Dr. H. Dutta, Department of Mathematics, Gauhati University, Guwahati-781014, India.
MY SOME INTERNATIONAL COLLABORATORS
1. Prof. H. M. Srivastava, Department of Mathematics and Statistics, University of Victoria, Victoria, British Colombia V8W 3R4, Canada.
2. Prof. D. Baleanu, Department of Mathematics, Cankaya University, Ankara, Turkey.
3. Prof. Carlo Cattani, Engineering School (DEIM), University of Tuscia, Viterbo, Italy.
4. Prof. A. M. Wazwaz, Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA.
5. Prof. E. Tohidi, Department of Mathematics, Kosar university of Bojnord, Bojnord, Iran.
REFERENCES
1. Dr. R. K. Pandey (Supervisor), Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University, Varanasi, India.
Email: rkpanday.mat@iitbhu.ac.in.
2. Dr. Manas Ranjan Sahoo, Department of Mathematical Sciences National Institute of Science Education and Research (NISER) Khurda Bhubaneswar Odisha India.
Email: mrsahoo@niser.ac.in .
3. Dr. V. K. Singh, Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University, Varanasi, India.
Email: vksingh.mat@iitbhu.ac.in .
4. Prof. H. M. Srivastava, Department of Mathematics and Statistics, University of Victoria, Victoria, British Colombia V8W 3R4, Canada.
Email: harimsri@math.uvic.ca .
DECLARATION
I, hereby declare that all the statements made in this application are true and complete to the best of my knowledge and brief.
(Harendra Singh)
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