Dr. Manoj Sharma
Associate Professor · Department of Mathematics
Last updated:
Basic Details
Last Updated On: 28-Oct-2026
NameDr. Manoj Sharma
DesignationAssociate Professor
DepartmentDepartment of Mathematics
Date of Joining22-Nov-2000
Emaildr.manojsharma@rjit.ac.in
Mobile9425482913
AddressC/33, Samadhiya Colony
Tara Ganj, Lashkar, Gwalior, MP
Research Profile
Last Updated On: 28-Oct-2026
ORCID0000-0002-9166-8908
Scopus ID57190795369
Publons IDHPC-8861-2023
GitHubNot provided
Research InterestsFractional Calculus , Special Functions, Polynomials, Dirichlet Averages, Kinetic Theory, Biological Modeling
Publication Count120
Last Updated28-Oct-2026
Education & Qualification
Last Updated On: 13-Jul-2026
| S. No. | Degree | Field | Institute | Year | Thesis / Title |
|---|---|---|---|---|---|
| 1 | Ph. D. | Fractional Calculus, Special Functions | SOMAAS, Jiwaji University, Gwalior | 2006 | "A Study of Fractional Calculus and Its Applications" |
| 2 | M. Sc. | Operation Research, Numerical Methods, Integral Tr | SOMAAS, Jiwaji University, Gwalior | 1996 |
Patents
Last Updated On: 13-Jul-2026
| S. No. | Title | Type | Scope | Status | No. | Date |
|---|---|---|---|---|---|---|
| 1 | Algebra calculation device for base level education | Research | National | Published | 202321026993, | 12-May-2023 |
| 2 | Doherty Power Amplifier for high Efficiency End-To-End Massive MIMO Communication | Research | National | Published | 202311039754 | 07-Jul-2023 |
| 3 | Analog and Digital Predistorters in the presence of crosstalk and measurement noise for 5G and beyond MIMO Communication. | Research | National | Published | 202321039840 | 25-Aug-2023 |
| 4 | Power Efficient and Energy Efficient base Station Power Amplifier for 5G Communication Applications. | Research | National | Published | 202321040366 | 13-Jun-2023 |
Copyrights
Last Updated On: 13-Jul-2026
No copyright record available.
Books
Last Updated On: 13-Jul-2026
| S. No. | Title | Publisher | ISBN | Date |
|---|---|---|---|---|
| 1 | Probability and Statistics | BLUEPEN International Publisher | 978-93-6940-623-4 | 16-Dec-2025 |
| 2 | “Fractional Calculus , A Book for Beginners” : (Volume A) | Kindle book publisher on Amazon | B0D8YP7G9B | 29-Jun-2024 |
| 3 | Fractional Calculus Vol.I | Shree Ram Prakshan India | 9789382077350 | 11-Feb-2024 |
Activities Organized
Last Updated On: 05-Nov-2026
- International Seminar on “The Works of Srinivasa Ramanujan and Emerging Trends in Applied Mathematics” Sponsored by MPCOST Bhopal MP and IEEE Madhya Pradesh Section Duration: 22 Dec. 2025
- MPCST and GAMS Sponsored International Conference on “The works of Sriniwasramanujan & their Applications in Science and Engineering” & International Symposium on “New Trends in Applications of Mathematics in Science And Engineering Duration: 22-23, Dec. 2014
- International Seminar on “The works of Srinivasa Ramanujan and their Applications in Science and Engineering” and Symposium on “New Trends in Applications of Mathematics in Science and Engineering Duration: 22 Dec. 2023
- Faculty development Programme on Effective Teaching & Classroom Communication Duration: 27/5/2013 to 01/06/2013
- MPCST, GAMS and RGPV Sponsored International Conference on “The works of Sriniwasramanujan & their Applications in Science and Engineering” & International Symposium on Fractional Calculus, Bioinformatics and Special Functions Duration: 20-22, Dec. 2022
- Faculty development Programme on “Fractional Calculus and Its Applications in Engineering” Duration: 27/01/2018 to 31/01/2018(One Week)
FDP Attended
Last Updated On: 05-Nov-2026
| S. No. | Title | Organized By | Organized At | Approved By | Duration |
|---|---|---|---|---|---|
| 1 | “Integrated CAD/CAM for Advanced Manufacturing” | RJIT and E&ICT Academy, IIITDM Jabalpur (MeitY, Govt. of India) | RJIT in Online mode | RJIT and E&ICT Academy, IIITDM Jabalpur (MeitY, Govt. of India) | Two Weeks 08-Sep-2025 to 19-Sep-2025 |
| 2 | Mathematical Method and Its Applications, | NPTEL, 12 Weeks FDP | ONLINE Mode | IIT Roorkee, Govt. of India | Other 01-Jul-2025 to 30-Oct-2025 |
| 3 | THIRD SERC SCHOOL on Special Functions and Functions of Matrix Argument: Recent Developments and Recent Applications in Statistics and Astrophysics | CMS, | Pala, Kerala India | DST. INDIA | Other to |
FDP Organised
Last Updated On: 05-Nov-2026
| S. No. | Title | Organized By | Organized At | Approved By | Duration |
|---|---|---|---|---|---|
| 1 | Simulation & Modeling Techniques and their Applications in Science and Engineering” | RJIT | RJIT BSF Tekanpur | IIT Roork | One Week 06-Jan-2020 to 10-Jan-2020 |
| 2 | Fractional Calculus and Its Applications in Engineering” | Dept. of Mathematics | RJIT BSF Tekanpur | RGPV, Bhopal under TEQIPIII | One Week 27-Jan-2018 to 31-Jan-2018 |
Membership of Professional Bodies
Last Updated On: 13-Jul-2026
- i. Nominated as a Member of Editorial Board of Indian Academy of Mathematics a UGC CARE- I Indexed Journal for the next four-year term, from 2026 to 2029.
- Indian Mathematical Society
- JOINT SECRETARY OF GWALIOR ACADEMY OF MATHEMATICAL SCIENCES.
- Life Member of Indian Academy of Mathematics
- Life Member of GAMS
- Life Member of IAM
- Napier Indian Advanced Research journal of Sciences
- Vijnana Parishad of India
- Rajasthan Ganita Parishad,
Achievements / Awards
Last Updated On: 13-Jul-2026
- Appreciation Certificate from Shri Mata Vaishno Devi University for delivering an Expert Lecture on Research Methodology for Mathematical Sciences
- Appreciation Certificate from ADDL. DG/ Director BSF Academy in 2012 for successful organization International Conference on “Special Functions and Their Applications in Science and Engineering and in Symposium on “Fractional Calculus and Its Applications” ICSFA-2011 in Dec. 08-10,2011
- Delivered an Invited Talk online mode in FDP of “Recent Advancement in Pure and Applied Physics” of Rabindranath Tagore University , Bhopal, during 12 July to 16 July 2021.
- 5. Delivered an Invited Talk entitled “Applications of fractional calculus in kinetic equations” during Dept. of Biotechnology Ministry of Science and Technology Govt. of India Sponsored International Conference on “Recent Advances in Mathematical Sciences with Applications in Engineering and Technology” (IC-RA-MSA-ET-2022) from 16th June 2022 to 18th June 2022 at JNU, New Delhi India.
- Delivered an Invited Talk entitled “Applications of fractional Calculus in linear kinetic equations” during 6th International Conference of Vijnana Parishad of India (VPI) on “Recent Advances in Computational Mathematics and Applied Sciences (IC-RA-CMAS-2022) from 09th Dec. 2022 to 11th Dec. 2022 at Manav Rachna International Institute of Research and Studies, Faridabad, Haryana India
- 2. Delivered an Invited Plenary lecture during 1st International Conference (ICMSS-I) of Namibia University of Science and Technology , Namibia entitled “Linear Fractional Differential Kinetic Equation “ on 03-04 July 2023, on Online Mode. Namibia
- Chaired a session in International Conference on “Man Machine Interactions ICMMI 2015”, organized by Institute of Informatics and Silesian University of Technology and Institute of Theoretical and Applied Informatics Polish Academy of Sciences at Giliwice Poland, held from OCT 06 to 09 ,2015 Technical Co-sponsor IEEE. Proceedings published by SPRINGER.
- Chaired a Session in M. P. Higher Education Quality Improvement Project Sponsored National Seminar on Recent Advances in Mathematical Sciences and Their Applications” (NSRAMSA-2023) on 09th Feb. 2023 held at Govt. Science College Gwalior, MP, India.
- International Achievement in Abroad - Invited for discussion with Director of Institute of Theoretical and Applied Informatics Polish Academy of Sciences on 05/10/15 at GILIWICE ,POLAND for coordination and development in Indian Institutes .
- International achievement in Abroad-Invited for discussion with Dean of Institute of Informatics and Silesian University of Technology on 04/10/15 at GILIWICE ,POLAND for coordination and development in Indian Institutes.
- Delivered an Invited keynote lecture on Computable extensions of advance fractional kinetic equation and class of levy-type probabilitiesin International Conference on Man Machine Interactions ICMMI 2015, organized by Institute of Informatics and Silesian University of Technology and Institute of Theoretical and Applied Informatics Polish Academy of Sciences at GILIWICE ,POLAND, held from OCT 06 to 09 ,2015 Technical Co-sponsor IEEE. Proceedings published by SPRINGER .
- Appreciation Certificate from ADDL. DG/ Director BSF Academy in 2012 for successful organization International Conference on “Special Functions and Their Applications in Science and Engineering and in Symposium on “Fractional Calculus and Its Applications” ICSFA-2011 in Dec. 08-10,2011
- Commendation Card of DIG / Chief Administrator of RJIT for smooth functioning of Admission work in 2022.
- Outstanding Young Person Award given by JCI GWALIOR (Gwalior Ratna Alankaran) in the category of Academic Leadership at 48th Charter Nite Ceremony held on 18th April in 2012.
- Commendation letter from IG/Director BSF Academy in 2010 for successful organization of National Conference.ENPRO-10
- Commendation Certificate from ADDL. DG/ Director BSF Academy in 2013 for successful organization of Faculty development Programme on “Effective Teaching & Classroom Communication” in 27-05-13 to 01-06-13. 2012.
- Appreciation Certificate from ADDL. DG/ Director BSF Academy in 2012 for successful organization International Conference on “Special Functions and Their Applications in Science and Engineering and in Symposium on “Fractional Calculus and Its Applications” ICSFA-2011 in Dec. 08-10,2011
- Commendation Certificate from ADDL. DG/ Director BSF Academy in 2022 “For hard work & Dedication in successful conduction of MPCST/GAMS /RGPV Sponsored International Conference (ICSFAW-22) in RJIT from 20th to 22nd Dec.2022.
- Recently Invited as Key-Note Speaker During Celebration of, National Mathematics Day at Govt. Science College Gwalior on 20 Dec. 2024.
- Commendation Certificate from IG/Director BSF Academy in 2006 for successful work in stone Laying Ceremony of RJIT
- Honored Young Researcher Award for International Research Gwalior Academy of Mathematics & Mathematical Sciences (GAMS),(An International level Professional Body) during 14th Annual National Conference of GAMS at IPS College Gwalior (17-19 July 09).
- Selected Department of Science and Technology Fellowship after securing 85% marks in SERC, School at CMS Kerla, (INDIA), held in 14 March- 15 April 2005.
- Selected among the five best research papers for the Young Scientist Award in the International Conference FDA08 held in Chankaya University , Ankara Turkey 05-07 Nov. 2008
Projects Undertaken
Last Updated On: 13-Jul-2026
- Completed a Project sponsored by MPCOST, Bhopal in 2013 on Study of wide bandgap semiconductor and a nomaterials of Rs. 1.45 lakh
Funded Projects & Research Consultancy
Last Updated On: 28-Oct-2026
| S. No. | Type & Title | Agency / Client | Role | Academic Year & Duration | Financial Details | Status / Outcome |
|---|---|---|---|---|---|---|
| 1 | Funded Project Fractional Calculus operators and their application in advanced kinetic equations Fractional Calculus nd Kinetic Equation Scheme: R &D Project Ref: 3875/CST/R&D/Phy.&Engg. and Pharmacy/2025-26 |
MPCST, BHOPAL Government Collaborator: MPCST Bhopal |
Principal Investigator | 30-Mar-2026 to 28-Feb-2028 |
Fund: ₹560,000.00 Consultancy: ₹0.00 Received: ₹280,000.00 |
Ongoing Going on research work |
Publications
Last Updated On: 28-Oct-2026
International Journals
| S. No. | Title | Journal / Conference | Indexing | Month-Year | ISSN / DOI | Co-Authors |
|---|---|---|---|---|---|---|
| 1 | On a Novel Class of Special Polynomials: Central Bell-Based Type 2 Euler Polynomials Associated with Umbral Calculus View Paper | Contemporary Mathematics Vol: 7 Issue: 3 | Scopus | May-2026 | 2705-1064 DOI: http://doi.org/10.37256/cm.7320268846 | 3 |
| 2 | Properties of Tangent-Fibonacci Polynomials via Golden F-Calculus View Paper | Contemporary Mathematics Vol: 7 Issue: 3 | Scopus | May-2026 | 2705-1064 DOI: https://doi.org/10.37256/cm.7320268823 | 2 |
| 3 | Go-SIO₂ hybrid nano coolant with enhanced colloidal stability and thermal transport for battery thermal management. | Journal Material Letters Vol: 424 Issue: 1 | SCI | Aug-2026 | 1873-4979 DOI: https://doi.org/10.1016/j.matlet.2026.141479 | 2 |
| 4 | On Bell-based Frobenius-type Eulerian Polynomials and Their Applications | EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS ,Clarivate Analytics Emerging Sources Citation Index (ESCI), Web of Science, SCOPUS Vol: 18 Issue: 3 | Scopus | Jul-2025 | 1307-5543 | 5 |
| 5 | Linear fracto-_integro differential equation in electrical RLC circuit | UGC-CARE approved Journal JNANABHA Vol: 55 Issue: 1 | Not classified | Jul-2025 | (0304-9892) DOI: DOI: https://doi.org/10.58250/jnanabha.2025.55116 | 2 |
| 6 | Advanced Results by Using New Generalized Definition of Fractional Derivative without Singular Kernel | Progress in Fractional Differentiation and Applications, SCOPUS Q1 Vol: 11 Issue: 3 | Scopus | Jul-2025 | 2356-9344 DOI: 10.18576/pfda/110314 | 4 |
| 7 | Specific Properties of Fractional Kinetic Equations with the Advanced K-Bessel Function | Progress in Fractional Differentiation and Applications, SCOPUS Q1 Vol: 11 Issue: 3 | Scopus | Jul-2025 | 2356-9344 DOI: 10.18576/pfda/110314 | 4 |
| 8 | Explicit properties of q-Cosine and q-Sine Fubini-type polynomials and numbers | Bol. Soc. Paran. Mat., Scopus Indexed,Clarivate Analytics Emerging Sources Citation Index (ESCI), Web of Science Journal Vol: 44 Issue: 2 | Scopus | Jan-2025 | E-ISSN-2175-1188,ISS DOI: doi:10.5269/bspm.79570 | 1 |
| 9 | A Parametric Kind of Fubini-Fibonacci Polynomials and their Generalizations | Bol. Soc. Paran. Mat., Scopus Indexed Journal,Clarivate Analytics Emerging Sources Citation Index (ESCI), Web of Science Vol: 44 Issue: 2 | Scopus | Jan-2025 | E-ISSN-2175-1188 DOI: doi:10.5269/bspm.79474 | 1 |
| 10 | Modified Results by Using New Generalized Definition of Fractional Derivative without Singular Kernel by Applying New Generalized Five Parameter Mittag-Leffler Function | Bol. Soc. Paran. Mat., Scopus Indexed Journal Vol: 43 Issue: 1 | Scopus | Dec-2025 | E-ISSN-2175-1188 ISS DOI: doi:10.5269/bspm.77303 | 3 |
| 11 | New Results by using Advanced Definition of Fractional Derivative without Singular Kernel | Progress in Fractional Differentiation and Applications, SCOPUS Q1 Journal | Not classified | Oct-2023 | 2356-9344 DOI: http://dx.doi.org/10.18576/pfda/090405 | 2 |
| 12 | Advanced Yang-Fourier transforms to linear heat-conduction in a semi-infinite fractal bar | Semiconductor Optoelectronics, SCOPUS, Q4, 10015868 Vol: 41 Issue: 11 | Scopus | Jan-2022 | 10015868 | 2 |
| 13 | Fractional Kinetic Equation A New Paradigm | Design Engineering a SCOPUS Journal Vol: 0 Issue: 7 | Not classified | Jan-2021 | 00119342 | 1 |
| 14 | “Application of Fractional Calculus in Mechanical Engineering” | Journal of “Advances in Mechanics” impact Factor 0.57 , Scopus Q2 Journal | Scopus | Jan-2021 | 1000-0992 | 1 |
| 15 | New Advanced Yang -Fourier Transforms to Heat- Conduction in a Semi -Infinite Fractal Bar | “Advances in Mechanics” An Scopus Q 2Journal of Impact Factor 0.57 | Scopus | Jan-2021 | 1000-0992 | 1 |
| 16 | Double Dirichlet average of Mainardi Function and fractional derivative | Ganita Sandesh, India ,PEER REVIEWED Journal The published papers also reviewed by the following International Agencies : (1 ) Mathematical Reviews , ( American Mathematical Society ) ( 2 ) Zentrablatt MATH ( Germany ) Vol: 30 Issue: 3 | Not classified | Jan-2018 | 0970-09169 | 2 |
| 17 | Advanced Generalized of Fractional Kinetic Equation in Astrophysics | Progress in Fractional Differentiation and Applications, Q1 Scopus Journal Vol: 1 Issue: 1 | Scopus | Jan-2015 | 2356-9344 | 2 |
| 18 | Generalized Yang-Fourier Transforms by using M-Series to Heat-Conduction in a Semi-Infinite Fractal Bar | South East Asian Journal of Mathematics and Mathematical Sciences, India International, Vol. 5. (SCOPUS) Vol: 11 Issue: 1 | Scopus | Jan-2015 | 0972-7752 | 0 |
| 19 | A Note on the Generalized M-series as a Special Function of Fractional Calculus | Fractional Calculus & Applied Analysis, Bulgaria SCI Journal, Impact Factor 2.9 | Not classified | Nov-2009 | 1311-0454 | 1 |
| 20 | Fractional Integration and Fractional Differentiation of the M-Series | Fractional Calculus & Applied Analysis, Bulgaria SCI Journal, Impact Factor 2.9 | SCI | Feb-2008 | 1311-0454 | 0 |
| 21 | Dirichlet average of Coshx and Fractional Derivative | South East Asian Journal of Mathematics and Mathematical Sciences, India International, Vol. 5. (SCOPUS) | Scopus | Jan-2006 | 0972-7752 | 1 |
National Journals
| S. No. | Title | Journal / Conference | Indexing | Month-Year | ISSN / DOI | Co-Authors |
|---|---|---|---|---|---|---|
| 1 | Double Dirichlet average of Cos X and Fractional Derivative | Ganita Sandesh, India ,PEER REVIEWED Journal The published papers also reviewed by the following International Agencies : (1 ) Mathematical Reviews , ( American Mathematical Society ) ( 2 ) Zentrablatt MATH ( Germany ) Vol: 21 Issue: 1 | Not classified | Apr-2007 | 0970-09169 | 1 |
| 2 | Double Dirichlet average of x^t "log" xand Fractional Derivative | Journal of Indian Acad. Math, India , UGC-CARE Journal | Not classified | May-2006 | 0970-5120 | 1 |
International Conferences
| S. No. | Title | Journal / Conference | Indexing | Month-Year | ISSN / DOI | Co-Authors |
|---|---|---|---|---|---|---|
| 1 | Computable extensions of advance fractional kinetic equation and class of levy-type probabilities | SCOPUS International Conference on Man Machine Interactions ICMMI 2015, organized by Institute of Informatics and Silesian University at GILIWICE , POLAND Springer 2016, Vol: 391 Issue: 0 | Scopus | Jan-2016 | ISBN 978-3-319-23436 | 0 |