"No human investigation can be called real science if it cannot be demonstrated mathematically.”
……Leonardo da Vinci
Dr. Ranjan Kumar Jana
Associate Professor, Department of Mathematics
and presently Associate Dean (Academic),
Sardar Vallabhbhai National Institute of Technology (SVNIT)
Ichchhanath, Surat-395007, Gujarat, INDIA.
Contact
Designation: Associate Professor ( Pay Level 13A2), Department of Mathematics.
Educational Qualifications: M.Sc.(Mathematics), Ph.D.(Mathematics)
Post-Doctoral Experience: Completed post-doctoral studies for one year at University of Illinois at Urbana-Champaign, USA with Prof. Bruce C. Berndt.
Area of Specialization: Special Functions and Integral Transforms, Operations Research, Data Assimilation.
Area of Interest: Mathematical Physics, Fractional Calculus, Mittag-Leffler function, Numerical Weather Prediction, Optimization and Ramanujan's Mathematics.
Teaching Experience: 17 years 11 months (as on December, 2023) in permanent position
Research Experience: 20 years (as on as on December, 2023)
Date of Birth: 14-02-1981
Birth Place: Pataspur, Purba Medinipur, West Bengal, India.
Research Publications: Total: 70; Journal (51), Book Chapters (07), Book/ Scientific Report / Monograph (04), Conference Proceedings (08). Conference presentations: 69 (International 57, National 12).
Research Projects undertaken: 06 { SERB-02, CSIR-01, ISRO-01, DST-01 and SVNIT-01.(Total San. Amount INR 130 Lac) }
Research Supervision:
Post Doctoral: 01, Dr. Mahesh Kumar worked as a Post Doctoral Fellow in ISRO project.
Ph. D. Guidance: 16, Completed: 09, Ongoing: 07.
Guided 31 students for their Master dissertation, Ongoing: 03
Guided 14 students for Summer Internship
Guided 01 student for Winter Project
Mentoring 01 INSPIRE Fellow for Summer Research Project
Guided 06 students for Mini Project, Ongoing: 03
Organizer for several National and International forums: (Funds managed: INR 75 Lac(funded by NBHM, IMU, DST, CSIR, AICTE, DRDO, SVNIT, TEQIP).
Conferences: Organized: 17 (04 as Organizing Secretary 01 as Co-Convener 12 as Member) Attended: 36
Seminars \ Symposium: organized: 69 attended: 74
Workshops: organized: 13 attended: 18
STTP: organized: 12 (09 as Coordinator 03 as member) attended: 31
Lecture Series: Organized: 02 Attended: 04
Expert Lectures: Organized: 27 Delivered: 100
Events organized at SVNIT : 24 , Outside SVNIT: 20
Selected Publications in last three years
20. M. Kumar and R. K. Jana, Analysis of dust ion acoustic soliton and shock waves of damped KdV Burgers’ equation in superthermal plasmas: Adomian decomposition approach, Brazilian Journal of Physics, 2024, 54:98. https://doi.org/10.1007/s13538-024-01468-0
19. J. B. Gajera and R. K. Jana, Fractional Integral Inequalities for the $s$-$( \kappa,H)$-Convex function, Analysis, 2024. https://doi.org/10.1515/anly-2023-0061
18. J. B. Gajera and R. K. Jana, On the Tur\'{a}n type inequalities and $k$-analogue of some special functions, The Journal of the Indian Mathematical Society, Vol. 91, Nos. (1-2), 2024, pp. 145-154.
17. J. B. Gajera and R. K. Jana, Tur\'{a}n Type Inequalities for $j$ Generalized $p-k$ Mittag-Leffler function, Int. J. Appl. Comput. Math. 9, 28 (2023). https://doi.org/10.1007/s40819-023-01513-7
16. F. H. Patel, R. K. Jana and A. K. Shukla, Note on Modified Generalized Bessel Matrix Function, Proyecciones Journal of Mathematics, Vol. 42, No. 5, 2023, pp. 1261-1269. https://doi.org/10.22199/issn.0717-6279-5820
15. M. Kumar, R. K. Jana, P. Chatterjee and U. N. Ghosh, Regular and singular dust ion-acoustic soliton structures in superthermal plasmas: Adomian Decomposition Approach, Indian Journal of Physics, 2023. https://doi.org/10.1007/s12648-023-02703-1
14. F. H. Patel, R. K. Jana and A. K. Shukla, Some Statistical Properties of extended generalized Bessel function, Palestine Journal of Mathematics, Vol. 12, No. 1, 2023, pp. 600-607.
13. M. Kumar and R. K. Jana, Homotopy analysis method for forced KdV equation in unmagnetizedsuperthermal plasmas, National Academy Science Letters, 2023.https://doi.org/10.1007/s40009-023-01231-0
12. F. H. Patel, R. K. Jana and A. K. Shukla, Note on extended generalized Bessel function, Palestine Journal of Mathematics, Vol. 12, No. 1, 2023, pp. 222-230.
11. F. H. Patel, R. K. Jana and A. K. Shukla, Generalized Bessel Matrix Functions, Georgian Mathematical Journal, 2023, pp. 1-9. https://doi.org/10.1515/gmj-2023-2003
10. R. Mondal, P. Pramanik, R. K. Jana and M. K. Maiti, Credit Policy for an Inventory Model of a deteriorating item having variable Demand considering default Risk, Scientia Iranica, 2022, 10.24200/SCI.2022.56218.4607
9. A. Mondal; D. K. Jana and R. K. Jana, Competition of Forward and Reverse supply chain for selling two substitutable products: novel game theory approach, Operations Research Forum, 3:66, 2022, pp. 1-34. https://doi.org/10.1007/s43069-022-00175-3
8. D. J. Bhatt, V. N. Mishra and R. K. Jana, A study on approximation properties of Durrmeyer type operator based on beta function, Nonlinear Studies, Vol. 29, No. 2, 2022, pp. 411-427.
7. A. Pal, R. K. Jana and A. K. Shukla, Generalized integral transform and fractional calculus properties involving extended pRq function, The Journal of the Indian Mathematical Society, Vol. 89, Nos. (1-2), 2022, pp. 100-116. DOI: 10.18311/jims/2022/29310
6. A. Pal, R. K. Jana, J. J. Nieto and A. K. Shukla, Some results on the pRq(; ; z) function involving Pathway fractional integral operator and statistical distribution, SeMA Journal, 2021, pp. 1-15. https://doi.org/10.1007/s40324-021-00274-x
5. A. Pal, R. K. Jana, G. S. Khammash and A. K. Shukla, The incomplete exponential pRq function with applications, Georgian Mathematical Journal, 2021, pp. 1-15. https://doi.org/10.1515/gmj-2021-2112
4. H. S. Lekhadiya and R. K. Jana, Impact of the assimilation of INSAT-3D sounder retrieved temperature and humidity profiles on extreme rainfall event forecast, Journal of the Indian Society of Remote Sensing, 2021. https://doi.org/10.1007/s12524-021-01369-8
3. D. J. Bhatt, V. N. Mishra and R. K. Jana, A study of approximation properties of Beta type summation-integral operator, Discontinuity, Nonlinearity, and Complexity, Vol. 10, No. 4, 2021, pp. 649-662. DOI:10.5890/DNC.2021.12.006
2. R. K. Jana, A. Pal and A. K. Shukla, Some properties of generalized Bessel function associated with generalized fractional calculus operators, Commun. Korean Math. Soc., Vol. 36, No. 1, 2021, pp. 41—50. https://doi.org/10.4134/CKMS.c190441
1. S. J. Alam, S. R. Arya and R. K. Jana, Biogeography Based Optimization strategy for UPQC PI tuning on Full Order Adaptive Observer based Control, IET Generation, Transmission & Distribution, 2021;15:279-293. https://doi.org/10.1049/gtd2.12020