Assistant Professor (Senior Grade)
Manish.bansal@mail.jiit.ac.in
Education
- Ph.D. (MNIT, Jaipur)
- M.Sc. Tech(Central University of Rajasthan, Ajmer)
Work Experience
- November 2021 to ongoing: Assistant Professor, Department of Mathematics, Jaypee Institute of Information Technology, Sector-62, Noida, Uttar Pradesh, India.
- January 2018 to September 2021: Assistant Professor, Department of Applied Sciences, Govt. Engineering College, Banswara.
- January 2017 to December 2017: Assistant Professor, Department of Mathematics, Malaviya National Institute of Technology, Jaipur.
- January 2015 to December 2016: Senior Research Fellow (Ph.D. Student), Department of Mathematics, Malaviya National Institute of Technology, Jaipur.
- January 2013 to December 2014: Junior Research Fellow (Ph.D. Student), Department of Mathematics, Malaviya National Institute of Technology, Jaipur.
Interest Area(s)
- Fractional Calculus, Special Functions.
RESEARCH PROJECTS
- Title of Project: A study of Incomplete Special Functions and their applications
- Funding Agency: TEQIP-III and sanctioned by NPIU(A unit of MHRD, GOI)
- Duration of Project: June 2019 to September 2021
- Principal Investigator: Dr. Manish Kumar Bansal
- Total Amount of Project: 7.35 lacs
- Project ID: 1-5730065311
- Status: Completed
Publications
International Journals
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Manish Kumar Bansal, Kottakkaran Sooppy Nisar, Junesang Choi and Devendra Kumar, Generalized fractional operators and their image formulas, J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 30(2), 222-235,(2022)(SCOPUS).
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H.M. Srivastava, Manish Kumar Bansal and Priyanka Harjule, A class of fractional integral operators involving a certain general multi-index Mittag-Leffler function, Ukrainian Math. J. 75(8), 1096-1112, 2023 (SCI).
- Harjule, P., Bansal, M.K. and Araci, S. “An Investigation of Incomplete H-Functions associated with some fractional integral operators”, FILOMAT, 36(8), 2695-2703, 2022. (SCI, IF-0.844).
- Jolly, N. and Bansal, M.K. Several inequalities involving the generalized multi-index Mittag-Leffler functions, Palestine journal of mathematics, 11(2), 290-298, 2022. (SCOPUS).
- Bansal, M.K., Shivlal, Kumar, D., Kumar, S. and Singh, J. “Fractional Differential Equation pertaining to a Integral operator involving the family of Incomplete H-functions in the kernel”, Math Meth Appl Sci.(Willey) (in press). (SCI, IF-2.321).
- Bansal, M.K., Harjule, P. and Kumar, D. “Fractional Differential Equations associated with M-S-M fractional integral operator in Fp,ν space”, Thai Journal of Mathematics, 20(4), 1661-1668, 2022. (SCOPUS).
- Bansal, M.K. and Kumar, D. “on a family of the incomplete H-functions and associated integral transforms”, Journal of applied analysis, 27(1), 143-152, (2021). (SCOPUS).
- Bansal, M.K., Kumar, D., Singh, J., Tassaddiq A. and Nisar, K.S. “Some New Results for the Srivastava-Luo-Raina M-Transform Pertaining to the Incomplete H-Functions”, AIMS-Mathematics, 5(1), 717-722, (2020). (SCI, IF-1.427).
- Bansal, M.K. and Kumar, D. “On the integral operators pertaining to a family of incomplete I−functions”, AIMS-Mathematics, 5(2), 1247-1259, (2020). (SCI, IF-1.427).
- Singh, J., Kumar, D. and Bansal, M.K. “Solution of Nonlinear Differential Equation And Special Functions”, Math Meth Appl Sci.(Willey), 43(5), 2106-2116, (2020).(SCI, IF-2.321).
- Bansal, M.K., Kumar, D., Nisar, K.S. and Singh, J. “Certain fractional calculus and integral transform results of incomplete ℵ-functions with applications”, Math Meth Appl Sci.(Willey), 43(8), 5602-5614, (2020). (SCI, IF-2.321).
- Bansal, M.K., Kumar, D., Harjule, P. and Singh, J. “Fractional Kinetic Equations Associated with Incomplete I-Functions”, Fractal and Fractional, 4(2), 19; (2020).(SCI, IF-3.313 ).
- Bansal, M.K., Kumar, D., Singh, J. and Nisar, K.S. “On the Solutions of a Class of Integral Equations Pertaining to Incomplete H-Function and Incomplete H-Function”, Mathematics, 8(5), 819, (2020). (SCI, IF-2.258).
- Harjule, P. and Bansal, M.K. “Fractional Order Models for Viscoelasticity in Lung Tissues with Power, Exponential and Mittag–Leffler Memories”, Int. J. Appl. Comput. Math, 6(4), Art. 119, (2020). (SCOPUS).
- Jolly, N., Bansal, M.K., Kumar, D. and Singh, J. “Certain Mathieu-type Series Pertaining to Incomplete H-Functions”, Applications and Applied Mathematics(AAM), 15(3), 1-14, (2020).(ESCI, WoS)
- Purohit, S.D., Jolly, N., Bansal, M.K., Singh, J. and Kumar, D., “Chebyshev Type Inequalities Involving the Fractional Integral Operator Containing Multi-Index Mittag-Leffler Function in the Kernel”, Applications and Applied Mathematics(AAM), 15(3), 29-38, (2020).(ESCI, WoS)
- Bansal, M.K., Kumar, D., Singh, J. and Nisar, K.S., “Finite and infinite integral Formulas involving the family of Incomplete H-functions”, Applications and Applied Mathematics(AAM), 15(3), 15-28, (2020).(ESCI, WoS)
- Kumar, D., Bansal, M.K., Nisar, K.S. and Singh, J. “Mathematical Modelling of Internal Blood Pressure Involving Incomplete H−functions”, J. Interdiscip. Math., 22(7), 1213-1221, (2019) (ESCI, WoS).
- Bansal, M.K., Kumar, D., Nisar, K.S. and Singh, J. “Application of incomplete H−functions in determination of Lambert’s Law”, J. Interdiscip. Math., 22(7), 1205-1212, (2019) (ESCI, WoS).
- Bansal, M.K., Jolly, N., Jain, R. and Kumar, D. “An Integral Operator Involving Generalized Mittag-Leffler Function and Associated Fractional Calculus Results”, The Journal of Analysis, 27(3),727-740, (2019). (SCOPUS).
- Srivastava, H.M., Jolly, N., Bansal, M.K. and Jain, R. “A New Integral Transform Associated with The λ-Extended Hurwitz-Lerch Zeta Function, RACSAM, 113(3), 1679-1692, (2019). (SCI, IF-2.169).
- Bansal, M.K., Kumar, D. and Jain, R. “A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with S-Generalized Gauss Hypergeometric Function”, Kyungpook Math. J., 59(3), 433-443, (2019). (ESCI,SCOPUS & WoS).
- Bansal, M.K., Kumar, D. and Jain, R. “Interrelationships Between Marichev-Saigo-Maeda Fractional Integral Operators, the Laplace Transform and the H¯ -Function, Int. J. Appl. Comput. Math, 5(4), Art. 103, (2019). (SCOPUS).
- Bansal, M.K. and Choi, J. “A Note on Pathway Fractional Integral Formulas Associated with the Incomplete H−Functions”, Int. J. Appl. Comput. Math, 5(5), Art. 133, (2019). (SCOPUS).
- 23. Bansal, M.K., Kumar, D., Khan, I. Singh, J. and Nisar, K.S. “Certain Unified Integrals Associated with Product of M−Series and Incomplete H−functions”, Mathematics, 7(12), 1191, (2019). (SCI, IF-2.258).
- Bansal, M.K., Harjule, P., Choi, J., Mubeen, S. and Kumar, D. “Certain Formulas Involving A Multi-Index Mittag-Leffler Function”, East Asian Math. J., The Youngnam Mathematical Society, 35(1), 23-30, (2019).
- Srivastava, H.M., Bansal, M.K. and Harjule, P. “A Study of Fractional Integral Operators Involving A Certain Generalized Multi-Index Mittag-Leffler Function, Math Meth Appl Sci.(Wiley), 41(16), 6108-6121, (2018). (SCI, IF-2.321).
- Bansal, M.K. and Jolly, N. Tur´an-Type, Lazarevi´c and Wilker-Type Inequalities for the Generalized Wright Functions, Journal of Advanced Research in Dynamical and Control System, 10(9), 2529-2535, (2018). (SCOPUS).
- Bansal, M.K. and Jain, R. “A Study of Unified Fractional Integral Operators Involving S-Generalized Gauss’s Hypergeometric Function as It’s Kernel”, Palestine Journal of Mathematics, 6(1), 142–152, (2017). (SCOPUS).
- Bansal, M.K. and Jain, R. “Analytical Solution of Bagley Torvik Equation by Generalized Differential Transform”, International Journal of Pure and Applied Mathematics, 110(2), 265-273, (2016). (SCOPUS).
- Bansal, M.K. and Jain, R. “Application of Generalized Differential Transform Method to Fractional Order Riccati Differential Equation and Numerical Result”, International Journal of Pure and Applied Mathematics, 99(3), 355-366, (2015). (SCOPUS).
- Srivastava, H.M., Jain, R. Bansal, M.K. “A study of the S-generalized Gauss hypergeometric function and its associated integral transforms”, Turkish Journal of Analysis and Number Theory, 3(5), 116-119, (2015).
- Bansal, M.K., Nisar, K.S., Choi, J. and Kumar, D. “Generalized fractional operators and their image formulas”, J. Comput. Anal. Appl., 30(2), 222-235, 2022. (SCOPUS)
National Journals
- Harjule, P., Bansal, M.K. and Jain, R. “A General Voltera-type integral equation associated with an integral operator with the H-Function in the kernel”, Global Journal of Pure and Applied Mathematics, 13(9), 6973-6978, (2017).
- Bansal, M.K. and Jain, R. “Certain new results of the S-generalized Gauss hypergeometric function transform”, South East Asian J. of Math. & Math.Sci., 12(2), 115-124, (2016). (UGC).
- Bansal, M.K. and Jain, R. “A study of finite integral involving generalized form of the Astrophysical Thermonuclear function”, Journal of Rajasthan Academy of Physical Sciences, 14(1),
- 51-55, (2015). (UGC).
- Bansal, M.K. and Jain, R. “Composition formulae for unified fractional integral operators”, European Journal of Advances in Engineering and Technology. 3(4), 1-6, (2016).
- Bansal, M.K. and Jain, R. “Application of generalized differential transform method to fractional Relaxation Oscillation equation”, Antarctica Journal of Mathematics, 12(1), 85-95, (2015).
- Bansal, M.K. and Jain, R. “On unified finite integrals involving I3 function, generalized Mittag-Leffler function and Appell polynomials”, The Journal of the Indian Academy of Mathematics, 36(2), 211-219, (2014)
- Bundela, B., Bansal. M.K. and Kharabe, S.D. Euler type integrals associated with the incomplete H and H ̅−Functions and its applications, Journal of Rajasthan Academy of Physical Sciences, International Conference on Mathematical and Statistical Computation (ICMSC-2022) Swami Keshvanand Institute of Technology (SKIT), Jaipur, Rajasthan, (India) 3rd -5th March 2022 October, 2022, pp. 99-106 (SCOPUS)
International/National Conferences
Attended/Abstract Published
- Presented a paper entitled “Image formulae for the M-S-M fractional integral operators associated with the multi-index Mittag-Leffler functions” in the ICMMAA-2019 at JECRC University, Jaipur (Raj), India during Aug 8-10,2019.
- Presented a paper entitled “Application of generalized differential transform method to fractional order Riccati differential equation and numerical result” in the National Conference on Mathematical Analysis and Computation (NCMAC)-2015 at the Malaviya National Institute of Technology Jaipur-302017 (Raj), India during Feb 20-21, 2015.
- Presented a paper entitled “Analytical solution of Bagley Torvik equation by generalized differential transform” in the International Conference on Special Functions and its Applications (ICSFA)-2014 at Thapar University, Patiala-147004 (Punjab), India, during Oct 16-18, 2014.
- Presented a paper entitled “Application of generalized differential transform method to fractional Relaxation Oscillation equation” in the Computatia-IV at the Vivekanand Institute of Technology, Jaipur (Raj), India, during Nov 25-26, 2014.
- Presented a paper entitled “A study of finite integral involving generalized form of the astrophysical thermonuclear function” in the International Conference on Special Functions and its Applications (ICSFA)-2013 at Malaviya National Institute of Technology Jaipur-302017 (Raj.), India during Dec 13-15, 2013.
Book Chapters
1. Bansal, M.K., Kumar, D., Choi, J., Certain Image Formulae of the Incomplete I-Function Under the Conformable and Pathway Fractional Integral and Derivative Operators, Advances in Mathematical Modelling, Applied Analysis and Computation, Lecture Notes in Networks and Systems 415, J. Singh, G. A. Anastassiou, D. Baleanu, C. Cattani, D. Kumar(eds.), Springer, 141-158, 2023. DOI:https://doi.org/10.1007/978-981-19-0179-9_7
2. Jolly, N. and Bansal, M.K., Computable Solution of Fractional Kinetic Equations Associated with Incomplete ℵ-Functions and M-series, Special Functions in Fractional Calculus and Engineering, H. Singh, H. M. Srivastava, R. K. Pandey(eds), Boca Raton: CRC Press, 95-110, 2023. DOI:10.1201/9781003368069
ORGANISED SHORT TERM COURSE /WORKSHOP/SEMINAR/CONFERENCE
- Two days TEQIP-III Sponsored Workshop on Latex: A Tool for Manuscript Writing and Typesetting at Govt. Engineering College, Banswara, India during April 9-10, 2018.
- One week TEQIP-III Sponsored STC on Latex & Mathematica for Beginners at Govt. Engineering College, Banswara, India during August 27-31, 2019.
- Three days TEQIP-III Sponsored Online Workshop on Research Methodology in higher Education at Govt. Engineering College, Banswara, India during Sept 03-05, 2020.
- One week TEQIP-III Sponsored Online STTP on Higher Engineering Mathematics at Govt. Engineering College, Banswara, India during October 05-10, 2020
PARTICIPATED IN SHORT TERM COURSE /WORKSHOP/SEMINAR/CONFERENCE
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Teacher’s Enrichment Workshop on Mathematical Foundations of Data Science at Jaypee Institute of Technology, Noida, India during 20 March - 1 April, 2023.
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One week online Faculty Development Programme on UHV-II organized by AICTE Delhi, India during Feb 13-18,2023.
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Three days 6th International Conference on Recent Advances in Mathematical Sciences and its Applications, RAMSA-2022 at Jaypee Institute of Technology, Noida, India during Dec 02-10, 2022.
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One week online Faculty Development Programme on Inculcating Universal Human Values in Technical Education organized by AICTE Delhi, India during Aug 22-26,2022.
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Three days 5th International Conference on Recent Advances in Mathematical Sciences and its Applications, RAMSA-2021 at Jaypee Institute of Technology, Noida, India during Dec 02-04, 2021.
- One week Short Term Course on Advanced Pedagogies: Active Learning and Digital Tools at IIT Delhi, India during June 17-21,2019.
- Two week Faculty Development Programme on Advanced Optimization Techinques at Malaviya National Institute of Technology Jaipur, India during October 12-21, 2018.
- One week Faculty Induction Program at IIT Gandhinagar, India during Jan 29-Feb 02, 2018.
- One week Short Term Course on Modeling & Simulation Tools at Malaviya National Institute of Technology Jaipur, India during July 03-07, 2017.
- Two Days Workshop on LATEX: for Research at Malaviya National Institute of Technology Jaipur, India during July 23-24, 2016.
- One week Short Term Course on MATLAB, A Tool in Research at Malaviya National Institute of Technology Jaipur, India during December 24-28, 2015.
- One week Short Term Course on Mathematical Modeling, MATLAB Programming and their Applications in Engineering and Sciences at Malaviya National Institute of Technology Jaipur, India during January 19-23, 2015.
- One Week National Workshop on LATEX and MATLAB FOR BEGINNERS at Birla Institute of Technology & Science Pilani, India during December 24-28, 2014.
- One week Short Term Course on Analysis and Applications at Malaviya National Institute of Technology Jaipur, India during Nov 10-14, 2014.
- Two Days 2ndNational Workshop on Scientific Computational Techniques at Manipal University Jaipur, India during December 18-19, 2014.
- Two days 4th National Conference on Computational and Mathematical Sciences : COMPUTATIA-IV at Vivekananda Institute of Technology, Jaipur, India during Nov 25-26, 2014.
- Two days 4th National Conference on Computational and Mathematical Sciences : COMPUTATIA-2012 at Vivekananda Institute of Technology, Jaipur, India during Jan 28-29, 2012.
- Two days National Seminar on Advances in Complex Analysis and Special Functions at Central University of Rajasthan, Ajmer, India during March 12-13, 2011.
- Two days National Conference of Rajasthan Ganita Parishad on Recent Trends in Mathematics & Actuarial Sciences at Central University of Rajasthan, Ajmer, India during Feb 20-21, 2010.
- One week Short Term Course on Advanced Computing and Analysis Techniques in Physics Research at Laxmi Niwas Mittal Institute of Information Technology Jaipur, India during Feb 22-27, 2010.
- One week online Faculty Development Programme on UHV-II organized by AICTE Delhi, India during Feb 13-18,2023.
- Three days 6th International Conference on Recent Advances in Mathematical Sciences and its Applications, RAMSA-2022 at Jaypee Institute of Technology, Noida, India during Dec 02-10, 2022.
- One week online Faculty Development Programme on Inculcating Universal Human Values in Technical Education organized by AICTE Delhi, India during Aug 22-26,2022.
- Three days 5th International Conference on Recent Advances in Mathematical Sciences and its Applications, RAMSA-2021 at Jaypee Institute of Technology, Noida, India during Dec 02-04, 2021.
NPTEL/MOOC COURSE
- Completed 12 week NPTEL course on Transform Calculus and Its Applications in Differential Eqations securing 90% Marks(Gold Certified-in Top 5%) conducted by IIT Kharagpur during Jan-April, 2019.
- Completed 12 week NPTEL course on Mathematical Methods and Its Applications securing 80% Marks(Elite Certified) conducted by IIT Roorkee during Jan-April, 2019.
- Completed 12 week NPTEL course on Advanced Engineering Mathematics securing 75% Marks(Elite Certified) conducted by IIT Roorkee during Jan-April, 2019.
QUALIFIED NATIONAL LEVEL TESTS
- GATE in Mathematics, All India Rank 181, Year 2012.
- JAM in Mathematics, All India Rank 183, Year 2010.
- CUCET in Mathematics, All India Rank 02, Year 2009.
REVIEWER
- American Mathematical Review.
- International journal of Applied and Computational Mathematics, Springer.
- Thai Journal of Mathematics.
- International Journal of Differential Equations, Hindawi.
- Mathematics in Engineering, Science and Aerospace (MESA).
- Advances in Difference Equations, Springer.
- Moroccan Journal of Pure and Applied Analysis.
- Advances and Applications in Mathematical Sciences.
- Afrika Matematika, Springer.
- TWMS Journal of Applied and Engineering Mathematics.
- Symmetry, MDPI.
Membership
- International Conference on Special Functions and its Applications (ICSFA), Life Member (1113).
- International Association of Engineers, Life Member (210594).