मालवीय राष्ट्रीय प्रौद्योगिकी संस्थान जयपुर (राष्ट्रीय महत्व का संस्थान)
Malaviya National Institute of Technology Jaipur (An Institute of National Importance)
Department of Mathematics
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49

Journal Publications

2

Conference Publications

10

PhD Research Supervised

Qualifications
  • Ph.D.(Mathematics) from J.N.V University, Jodhpur(1996)
    M.Sc.(Mathematics ) from J.N.V University, Jodhpur(1992)
    B.Sc.(Mathematics, Physics, Chemistr) from The University of Jodhpur , Jodhpur(1990)
Research Interests

Special Functions, Fractional Calculus, Integral Transform, Fractional transforms, Mathematical Modeling.

Brief Research Profile

About 56 research papers have been published in International and National Journals. Eight scholars were awarded PhD degrees, and four students are doing research under my supervision.

Professional Background
  • Assistant Professor at Malaviya National Institute of Technology, Jaipur, Jaipur, Rajasthan [01 January 2006 - Present].
    Lecturer at MREC, Jaipur [18 March 1999 - 31 December 2005].

  • Fractional calculus and its Applications
  • Mathematics -I
  • mathematics-II
  • Probability and Statistics
  • Probability and Statistics
  • Special Function
  • Integral Equations

    2025
  • Sangeeta Kumawat, Sanjay Bhatter, Bhamini Bhatia, Sunil Dutt Purohit, Haci Mehmet Baskonus, Daya Lal Suthar, "Novel application of q-HAGTM to analyse Hilfer fractional differential equations in diabetic dynamics" , Mathematics and Computers in Simulation (North Holland) Volume :238 / 136-149 / 2025 DOI: https://doi.org/10.1016/j.matcom.2025.04.029
  • Sanjay Bhatter, Sangeeta Kumawat, Sunil Dutt Purohit, DL Suthar, "Mathematical modeling of tuberculosis using Caputo fractional derivative: a comparative analysis with real data" , Scientific Reports (Nature Portfolio) Volume :15 / 12672 / 2025 DOI: https://doi.org/10.1038/s41598-025-97502-5
  • Sanjay Bhatter, Bhamini Bhatia, Sangeeta Kumawat, Sunil Dutt Purohit, "Modeling and simulation of COVID-19 disease dynamics via Caputo-Fabrizio fractional derivative" , Computational Methods for Differential Equations (University of Tabriz) Volume :13 / 494-504 / 2025 DOI: 10.22034/cmde.2024.59569.2539
    • 2024
  • Sanjay Bhatter, Kamlesh Jangid, Shyamsunder ,Sunil Dutt Purohit, "Determining glucose supply in blood using the incomplete I-function" , Partial Differential Equations in Applied Mathematics (Science Direct) Volume :10 / 100729 / 2024 DOI: https://doi.org/10.1016/j.padiff.2024.100729
  • Nishant, Sanjay Bhatter, Sunil Dutt Purohit, " Generalization of Katugampola fractional kinetic equation involving incomplete H-function" , Computational Methods for Differential Equations (University of Tabriz) Volume :12 / 842-856 / 2024 DOI: 10.22034/cmde.2024.57294.2395
  • Sangeeta Kumawat, Sanjay Bhatter, Bhamini Bhatia, Sunil Dutt Purohit, DL Suthar, "Mathematical modeling of allelopathic stimulatory phytoplankton species using fractalfractional derivatives" , Scientific Reports (Nature) Volume :14 / 20019 / 2024 DOI: https://doi.org/10.1038/s41598-024-70596-z
  • Sanjay Bhatter, Nishant , Sunil Dutt Purohit , "Some New Results for the M-Transform Involving the Incomplete I-Functions" , Sahand Communications in Mathematical Analysis (University of Maragheh) Volume :21 / 1-23 / 2024 DOI: https://doi.org/10.22130/scma.2023.1990549.1265
  • Sanjay Bhatter, Kamlesh Jangid, Shyamsunder Kumawat, Dumitru Baleanu, Sunil Dutt Purohit, Daya Lal Suthar, "A new investigation on fractionalized modeling of human liver " , Scientific Reports (Nature) Volume :14 / 1636 / 2024 DOI: https://doi.org/10.1038/s41598-024-51430-y
  • Sanjay Bhatter, Sangeeta Kumawat, Bhamini Bhatia, Sunil Dutt Purohit, "Analysis of COVID-19 epidemic with intervention impacts by a fractional operator" , An International Journal of Optimization and Control: Theories & Applications (IJOCTA) (AccScience Publishing) Volume :14 / 261-275 / 2024 DOI: https://doi.org/10.11121/ijocta.1515
  • Sanjay Bhatter, Sapna Meena, Kamlesh Jangid, Sunil Dutt Purohit, Nishant, "Certain Integrals Involving the Incomplete Fox-Wright Functions" , Journal of Computational Analysis & Applications ( Kluwer Academic Publishers) Volume :33 / 108-123 / 2024 DOI: https://eds.p.ebscohost.com/eds/pdfviewer/pdfviewer?vid=1&sid=96d5530c-94b3-46b2-8a2a-e3ac88b4fe43%40redis
  • Sanjay Bhatter, Sunil Dutt Purohit, Nishant , Shyamsunder, "Srivastava-Luo-Raina M-transform involving the incomplete I-functions" , Computational Methods for Differential Equations (University of Tabriz) Volume :12 / / 2024 DOI: 10.22034/cmde.2023.55721.2322
    • 2023
  • Shyamsunder , S. Bhatter , K. Jangid , A. Abidemi , K.M. Owolabi , S.D. Purohit, "A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks" , Decision Analytics (Elsevier) Volume :Volume 6, / / 2023 DOI: https://doi.org/10.1016/j.dajour.2022.100156
  • S Bhatter, Nishant, Shyamsunder, SD Purohit, DL Suthar, "A study of incomplete I-functions relating to certain fractional integral operators" , APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING (Taylor & Francis) Volume :31 / / 2023 DOI: https://doi.org/10.1080/27690911.2023.2252996
  • Bhatter S. Meena S. Singh J. Purohit S.D., "Some New Results for the M-Transform Involving the Incomplete H-and H-Functions" , Journal of Computational Analysis and Applications (Eudoxus press ) Volume :31 / 38-47 / 2023 DOI: -
  • Bhatter S. Nishant Suthar D.L. Purohit S.D., "Boros Integral Involving the Product of Family of Polynomials and the Incomplete I-Function" , Journal of Computational Analysis & Applications (EUDOXUS press) Volume :31 / 400-412 / 2023 DOI: -
    • 2022
  • Sanjay Bhatter, Amit Mathur, Devendra Kumar, Jagdev Singh, "On Certain New Results of Fractional Calculus Involving Product of Generalized Special Functions" , International Journal of Applied and Computational Mathematics (Springer) Volume :8 / 1-9 / 2022 DOI: https://doi.org/10.1007/s40819-022-01253-0
  • S. Meena, S. Bhatter, K. Jangid, and S.D. Purohit , "Certain expansion formulae of incomplete H-function associated with Leibniz rule" , TWMS Journal of Applied and Engineering Mathematics (TURKIC WORLD MATHEMATICAL SOC) Volume :12 / 579-587 / 2022 DOI: https://jaem.isikun.edu.tr/web/index.php/archive/115-vol12no2/843
  • Meena, S., Bhatter, S., Jangid, K., Purohit, S. D., Nisar, K. S. , "Certain generating functions involving the incomplete I-functions" , TWMS Journal of Applied and Engineering Mathematics (TURKIC WORLD MATHEMATICAL SOC) Volume :12 / 985-995 / 2022 DOI: http://jaem.isikun.edu.tr/web/index.php/archive/116-vol12no3/882
  • Shyamsunder, S Bhatter, K Jangid , SD Purohit, "Fractionalized mathematical models for drug diffusion" , Chaos, Solitons & Fractals (Elsevier) Volume :165 / / 2022 DOI: https://doi.org/10.1016/j.chaos.2022.112810
  • S Kumawat, S Bhatter, DL Suthar, SD Purohit, K Jangid , "Numerical modeling on age-based study of coronavirus transmission" , Applied mathematics in science and engineering (Taylor & Francis) Volume :30 / 609634 / 2022 DOI: https://doi.org/10.1080/27690911.2022.2116435
  • Shyamsunder, S Bhatter, K Jangid , SD Purohit, "A Study of The Hepatitis B Virus Infection Using Hilfer Fractional Derivative " , Proceedings of the Institute of Mathematics and Mechanics (National Academy of Sciences of Azerbaijan) Volume :48 / 100-117 / 2022 DOI: https://doi.org/10.30546/2409-4994.48.2022.100117
    • 2021
  • Sharma, R., Bhatter, S. , "On the rational solutions of y2 =x3 + k6n+3" , Notes on Number Theory and Discrete Mathematics (BULGARIAN ACAD SCIENCE) Volume :27 / 130-142 / 2021 DOI: 10.7546/nntdm.2021.27.3.130-142.
  • S. Bhatter, K. Jangid, S. Meena, and S.D. Purohit , "Certain integral formulae involving incomplete I-functions" , Science and Technology Asia (OJS PKP) Volume :26 / 84-95 / 2021 DOI: https://tci-thaijo.org/index.php/SciTechAsia
  • S. Meena, S. Bhatter, K. Jangid, and S. D. Purohit , "Certain expansion formulae of incomplete I-function associated with the Leibniz rule" , Journal of Fractional Calculus and Nonlinear System (Saba Publishing) Volume :2 / 42-50 / 2021 DOI: https://doi:10.48185/jfcns.v2i1.231
  • Sanjay Bhatter, Amit Mathur, Devendra Kumar, Jagdev Singh, "New Extension of Fractional-Calculus Results Associated with Product of Certain Special Functions" , International Journal of Applied and Computational Mathematics (Springer ) Volume :7 / 1-9 / 2021 DOI: https://doi.org/10.1007/s40819-021-01007-4
    • 2020
  • Sapna meena ,Sanjay Bhatter , Kamlesh Jangid, Sunil Dutt Purhit, "Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions" , Moroccan Journal of Pure and Applied Analysis (sciendo) Volume :2020 / 243-254 / 2020
  • Sapna Meena , sanjay bhatter kamlesh jangid and Sunil dutt purohit, "some expansion formulas for incomplete H and H bar functions involving Bessel functions" , Advance in Difference Equations (springer open) Volume :2020 / 1-13 562 / 2020 DOI: https://doi.org/10.1186/s13662-020-03022-z
  • Kamlesh Jangid, Sanjay Bhatter, Sapna Meena, Dumitru Baleanu, Maysaa Al Qurashi, Sunil Dutt Purohit, "Some fractional calculus findings associated with the incomplete I-functions" , . https://doi.org/10.1186/s13662-020-02725-7 (Springer ) Volume :20201 / 1-24 / 2020 DOI: https://doi.org/10.1186/s13662-020-02725-7
  • Sanjay Bhatter, Amit Mathur, Devendra Kumar, Kottakkaran Sooppy Nisar, Jagdev Singh, "Fractional modified Kawahara equation with Mittag–Leffler law" , Chaos, Solitons & Fractals (Elsevier) Volume :131 / 109508 / 2020 DOI: https://doi.org/10.1016/j.chaos.2019.109508
  • Sanjay Bhatter, Amit Mathur, Devendra Kumar, Jagdev Singh, "A new analysis of fractional Drinfeld–Sokolov–Wilson model with exponential memory" , Physica A: Statistical Mechanics and its Applications (Elsevier) Volume :537 / 122578 / 2020 DOI: https://doi.org/10.1016/j.physa.2019.122578
    • 2019
  • Sanjay Bhatter, Azizul Hoque, Richa Sharma, "ON THE SOLUTIONS OF A LEBESGUE–NAGELL TYPE EQUATION" , Acta Math. Hungar. (-) Volume :158 / 17-26 / 2019
    • 2017
  • Sanjay Bhatter, Rakesh Kumar Bohra, "On Some Composition Formulae for Multidimensional Fractional Integral Operators Associated Aleph () ℵ Function and General Class of Polynomial" , International Journal of Computational and Applied Mathematics (-) Volume :12 / 255-272 / 2017
  • Sanjay Bhatter, Richa Sharma, "Integral Transforms and Fractional Integral Operators Associated with S-Generalized Gauss Hypergeometric Function" , Global Journal of Pure and Applied Mathematics (Global Journal of Pure and Applied Mathematics) Volume :13 / 5037-5047 / 2017
    • 2016
  • S Bhatter, RK Bohra, "THE GENERAL EULERIAN INTEGRAL WITH ALEPH (ℵ)-FUNCTION" , South East Asian J. of Math. & Math. Sci. I (--) Volume :12.1 / 57-66 / 2016
    • 2015
  • Sanjay Bhatter, Sheikh Mohammed Faisal, "FRACTIONAL INTEGRAL OPERATORS INVOLVING MITTAG-LEFFLER TYPE E-FUNCTION" , JOURNAL of RAJASTHAN ACADEMY of PHYSICAL SCIENCES (--) Volume :14.3 / 309-322 / 2015
  • Sanjay Bhatter, Sheikh Mohammed Faisal, "A Family of Mittag-Leffler Type Functions and Its Relation With Basic Special Functions" , International Journal of Pure and Applied Mathematics (--) Volume :101 / 369-379 / 2015
  • S Bhatter, SM Faisal, MI Qureshi, "A FAMILY of MITTAG-LEFFLER TYPE FUNCTIONS and THEIR PROPERTIES" , Palestine Journal of Mathematics (Palestine Journal of Mathematics) Volume :4 / 367-373 / 2015 DOI: https://pjm.ppu.edu/sites/default/files/papers/17%20%20Paper%206.pdf
    • 2014
  • Sanjay Bhatter, Sheikh Mohammed Faisal , "The Mellin-Barnes Type Contour Integral Representation of a New Mittag-Leffler Type E-Function " , American Journal of Pure and Applied Mathematics (..) Volume :2.2 / 137-141 / 2014
  • Sanjay Bhatter Rakesh Kumar Bohra, "On Some Integral Properties of Aleph Function, Multivariables General Class of Polynomials Associated With Feynman Integrals" , International Journal of Physics and Mathematical Sciences (--) Volume :4.2 / 109-117 / 2014
  • Sanjay Bhatter Rakesh Kumar Bohra, "New Pathway Fractional Integral Operator Associated With Aleph - Function, Multivariable’s General Class of Polynomial With H - Function" , International Journal of Mathematics Trends and Technology (-) Volume :14.2 / 84-87 / 2014
    • 2011
  • BHATTER, S. and SHEKHAWAT, S., "A Study of Generalized Fractional Derivative Operator involving multivariable H- function and General class of multivariable Polynomials " , Journal of Applied Mathematics ,Statistics and informatics (JAMSI) (The Journal of University of Saint Cyril and Metodius) Volume :7 / 57-71 / 2011
    • 2010
  • Dr. Sanjay Bhatter and Dr. Shalini Shekhawat, "Composition Formulae for Multidimensional Fractional Integral Operator" , Ganita Sandesh (--) Volume :24.1 / 111-120 / 2010
  • Dr. Sanjay Bhatter, Dr. Shalini Shekhawat, "Multidimensional Fractional Integral Operators Involving General Class of Polynomial and H Function" , Global J. Sci. Frontier Research (Global J. Sci. Frontier research) Volume :10 / 50-56 / 2010
  • Sanjay Bhatter and Shalini Shekhawat, "The General Eulerian Integral" , Int. Journal of Math. Analysis (--) Volume :4 / 393-402 / 2010
    • 2009
  • Dr. Sanjay Bhatter and Dr. Shalini Shekhawat, "On a Basic Integral Involving the H-Function of Two Variables " , Journal of Rajasthan Academy of Physical Sciences (Rajasthan Academy of Physical Sciences) Volume :8.4 / 485-488 / 2009
  • Prof. K. C. Gupta, Dr. Sanjay Bhatter and Dr. Shalini Shekhawat, "On a Basic Integral Involving the H-Function of Two Variables" , Journal of Rajasthan Academy of Physical Sciences (Rajasthan Academy of Physical Sciences) Volume :8 / 485-488 / 2009
  • Dr. Sanjay Bhatter and Dr. Shalini Shekhawat, "Certain Multiplication Formulae for Multivariable H Function" , Journal of Rajasthan Academy of Physical Sciences (Rajasthan Academy of Physical Sciences) Volume :8 / 211-218 / 2009
  • Prof. Rashmi Jain, Dr. Sanjay Bhatter and Dr. Shalini Shekhawat, "Fourier Series for Generalized Mellin Barnes Type Contour Integrals With Applications" , Acta Mathematica Cinieca (The Society for the Progress of Science) Volume :35 / 1033-1038 / 2009
    • 2008
  • Prof. Rashmi Jain, Dr. Sanjay Bhatter and Dr. Ranjeeta Nahar, "Composition Formulae For Unified Fractional Integral Operators" , Ganita Sandesh (Rajasthan Ganita Parishad) Volume :22 / 69-80 / 2008

    2025
  • Purohit S.D.,Jangid K.,Jangra N.,Samei M.E.,Bhatter S., "A Study of the RLC, RC, and RL Electric Circuits Associated With Incomplete I-Functions" , ICMMAAC 2024 by :Springer at JECRC University / / 2025
    • 2024
  • Bhatter, S., Purohit, S.D., Shyamsunder , "Several Computational Based Expansions for Incomplete -Function Using the Leibniz Rule" , ICMMAAC 2023 by :Springer at JECRC University / / 2024

  • International level Conference on International Conference on International Conference on Special Functions and their Applications- ICSFA 2013 at MNIT,, JAIPUR,, INDIA from 13-12-2013 to 15-12-2013
  • National level Short Term Course on Numerical & Computational Techniques in Engineering at MNIT Jaipur, Jaipur, India from 17-12-2012 to 22-12-2012

  • member of Rajasthan Ganit Parishad
  • Life Member of RAPS(Jaipur)

    Awarded
  • Mr. Nishant on A Study on Generalized Incomplete I-Functions and Their Associated Applications Year - 2024
  • Shyamsunder on A Mathematical Study of Biological Phenomenon using Special Functions and Fractional Calculus Operator Year - 2024
  • Dr. Sapna Meena on A study on Generalized incomplete H- functions and their associated applications Year - 2023
  • Dr.Amit Mathur on Investigation of certain new aspects of generalized differintegral operators of arbitrary order and their applications Year - 2021
  • Dr. Richa Sharma on Some Diophantine equations and related problems Year - 2021
  • Dr. Rakesh Bohra on A Study of Unified Fractional Integral Formula , Pathway Fractional Integral Operator, Mellin Barnes Type Integral. Year - 2017
  • Dr..Sheikh mohammed faisal on A Study of Differential and Integral Calculus of Arbitrary Order and New Generalized Mittag -Leffler Function With Applications Year - 2016
  • Dr.Shalini Shekhawat on A Study of Single and Multivariable Polynomials, Mellin Barnes Type of Contour Integrals and Generalized Fractional Integral Operators. Year - 2010
    • Ongoing
  • Sangeeta Kumawat on A Comprehensive Analysis of Fractional-Order Approaches in the Mathematical Modeling of Biological Systems Year - 2022
  • Bhamini Bhatia on Integrating Fractional Calculus with Population Biology: Disease Modeling and Analysis. Year - 2022

    2023-2024
  • PRIYANSHI PATEL on SOLUTION OF KINETIC EQUATION THROUGH THE INCOMPLETE ALEPH FUNCTION Year - 2023-2024 (Completed)
  • PARTH THAPAN on TO DETECT THE AUTHENTICITY OF COVID-19 CASES AND DEATH RATE Year - 2023-2024 (Completed)
  • KIRTI YADAV on A NOVEL INVESTIGATION OF COVID-19 DISEASE WITH THE HELP OF NUMERICAL TECHNIQUE Year - 2023-2024 (Completed)
    • 2022-2023
  • PRIYANKA on Mittag-Leffler Function And Its Generalization Year - 2022-2023 (Completed)
  • Ms. Jagriti Purwar on Generalized Integral Transform And Its Basic Properties Year - 2022-2023 (Completed)
    • 2021-2022
  • PRIYA MEENA on BESSEL FUNCTION Year - 2021-2022 (Completed)
  • ROHIT YADAV on APPLICATION AND PROPERTIES OF BETA FUNCTION Year - 2021-2022 (Completed)
  • YUVRAJ SINGH CHAUHAN on INTRODUCTION AND APPLICATIONS OF GAMMA FUNCTIONS Year - 2021-2022 (Completed)
    • 2020-2021
  • SAKSHI AGARWAL on STUDY OF POLYNOMIAL IN SPECIAL FUNCTION Year - 2020-2021 (Completed)
  • DEEPAK on STUDY OF TWO-DIMENSIONAL RANDOM VARIABLE Year - 2020-2021 (Completed)
    • 2019-2020
  • SURYA PRAKASH BIHANI on STUDY OF CONTINUOUS DISTRIBUTION Year - 2019-2020 (Completed)
  • SURBHI YADAV on HYPERGEOMETRIC FUNCTIONS Year - 2019-2020 (Completed)
  • LOKESH SINGH VAISH on INTRODUCTION TO FRACTIONAL CALCULUS Year - 2019-2020 (Completed)
    • 2018-2019
  • JITESH SHARMA on A SPECTRAL DECOMPOSITION Year - 2018-2019 (Completed)
  • AMIT KUMAR GOYAL on GREEN FUNCTION Year - 2018-2019 (Completed)
  • SHISH RAM VERMA on FINITE DIFFERENCE METHOD FOR SOLVING ELLIPTIC PARTIAL DIFFERENTIAL EQUATION Year - 2018-2019 (Completed)
  • VIVEK GATHALA on NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATION Year - 2018-2019 (Completed)
  • CHANDA KUMAWAT on NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS Year - 2018-2019 (Completed)

  • Convener, DUGC, Mathematics in Malaviya National Institute of Technology Jaipur from - 01-08-2024 to Till Date
  • Department Time Table In Charge in Malaviya National Institute of Technology Jaipur from - 07-07-2022 to Till Date
  • IN charge HOD in Malaviya National Institute of Technology Jaipur from - 04-09-2020 to 11-02-2022
  • Member, Board of Governance, MNIT in Malaviya National Institute of Technology Jaipur from - 23-07-2018 to 22-07-2020
  • Convener, DPGC, Mathematics in Malaviya National Institute of Technology Jaipur from - 01-07-2018 to 02-07-2020
  • Department Time Table In Charge in Malaviya National Institute of Technology Jaipur from - 19-10-2017 to 21-09-2020
  • Warden ( Administrative and Mess Warden H-7) in Malaviya National Institute of Technology Jaipur from - 15-07-2008 to 12-06-2014