Mahatma Gandhi Vidyamandir's

Loknete Vyankatrao Hiray Arts Science & Commerce College Panchavati, Nashik, (MS)

Awarded Best College & Affiliated To S. P. Pune University - Re-Accredited By NAAC With 'A+' Grade.

1. Research Centre details

a.Year of introduction : 2021 – 22

Continuation 2022 - 27

b.Highlights:

  1. I Having a Ph. D. research centre recognized by Savitribai Phule Pune University, Pune. Currently, 05 research students are doing their Ph.D. degree at our research centre.
  2. II Four faculties are Ph.D. holders and 03 are Ph.D. research guides.
  3. III More than 50 Research publications in reputed peer – reviewed journals including Scopus/ Web of Science/ Thomson Reuters and UGC – CARE etc.
  4. IV Reference and textbooks are published by the faculties and working as a reviewers in various journals

c.Areas of research: Fractional Calculus, Mathematical Modelling etc.

d.Research collaboration: No

2. Research Guides

Sr. No. Name of the guide Year of recognition
1 Dr. Ashok Parasharam Bhadane 2014
2 Dr. Vasant Ramchandra Nikam 2019
3 Dr. Shrinath Dilip Manjarekar 2021
4 Dr. Kailas Sahadu Ahire (Associate Guide) 2019

3. Ph.D. Scholars Registered

Sr. No. Name of the scholar Name of the guide Title of the thesis Degree awarded Year of award of degree
1 Gauri Nandkishor Phad Dr. V. R. Nikam Fractional stochastic modelling and its application NA ---
2 Gawande Sonam Namdev Dr. K. S. Ahire Some Mathematical Applications for Cryptosystems NA ---
3 Sayali Yuvraj Nikam Dr. S. D. Manjarekar Study of Variable Order Fractional Calculus and its Applications NA ---
4 Mr. Ankush Arun Patil Dr. S. D. Manjarekar Study of Mathematical Models with its Application in Economics, Bio – Medical Engineering and Ecology NA ---
5 Ms. Vaibhavi Dilip Zalte Dr. V. R. Nikam Study of Linear Algebra and their Applications in Machine Learning

Research Projects

Name of the Project/ Endowment, Chairs Name of the Principal Investigator/Co-investigator Department of Principal Investigator Year of Award Amount Sanctioned Duration of the project Name of the Funding Agency Type (Government/non-Govt)
Equated Monthly Instalment Dr. V. R. Nikam Mathematics 2008 1,25,000 02 years BCUD, SPPU, Pune Non – Government
Study of Fourier analysis and its applications in Signal Processing Dr. S. D. Manjarekar Mathematic 2008 75,000 02 years BCUD, SPPU, Pune Non – Government

Research Publications

Title of paper Name of the author/s Name of journal Year of publication ISSN number Link to the recognition in UGC enlistment of the Journal
A Modification on the new general integral transform Manjarekar S., Jafari H. Advanced Mathematical Models & Applications 2022 2519-4445
The Double Fuzzy Elzaki Transform For Solving Fuzzy Partial Differential Equations Dr. V. R. Nikam Journal of The Chungcheong Mathematical Society 2022 1226 – 3524 --
Solving Fuzzy Caputo- Fabrizio Fractional One Dimensional Heat Equations By Iterative Fuzzy Laplace Transform Method Using Mathematica Dr. V. R. Nikam Journal Of Xidian University 2022 1001 – 2400 --
On Two – Dimensional Generalized Fractional Elzaki Tarig Transformations Relation and Convergence Dr. S. D. Manjarekar and Dr. A. P. Bhadane Global Journal Of Pure And Applied Mathematics 2021 0973 – 1768 --
An Algebraic Solution Towards Multi Variable Transportation Problem Dr. S. D. Manjarekar and Dr. A. P. Bhadane GJRA 2021 2277 – 8160 --
Sumudu – Adomain Decomposition Method For Solving Time – Fractional Equation Mr. S. A. Tarate and Dr. A. P. Bhadane Malaya Journal Of Matematik 2021 2321 – 5666 --
New Congruence Method Towards Assignment Problem Manjarekar And Dr. A. P. Bhadane GANITA 2021 0046 – 5402 --
APB’s Method For The Ibfs Of A Transportation Problem And Comparison With North – West Corner Method Dr. A. P. Bhadane and Dr. S. D. Manjarekar GANITA 2021 0046 – 5402 --
Role Of Mittag-Leffler Function In Susceptible Infectious Recovered (SIR) Model Dr. V. R. Nikam International Journal Of Engineering Science And Mathematics 2020 2320 – 0294 --
Challenges And Suggestions In Indian Higher Education System Dr. V. R. Nikam Journal Of Interdisciplinary Cycle Research 2020 0022 – 1945 (E) --
APB’s Method For The IBFS Of A Transportation Problem And Comparison With Least Cost Method Dr. A. P. Bhadane And Dr. S. D. Manjarekar IJREAM 2020 2454 – 9150 --
APB’s Method For The IBFS Of A Transportation Problem And Comparison With Vogel’s Approximation Method Dr. A. P. Bhadane And Dr. S. D. Manjarekar Quest Journal Of Research In Applied Mathematics 2020 2394 – 0743 --
APB’s Statistical Quartile Method For IBFS Of A Transportation Problem And Comparison With Least Cost Method Dr. A. P. Bhadane And Dr. S. D. Manjarekar IJRAR 2020 2348 – 1269 --
APB’s Statistical Quartile Method For IBFS Of A Transportation Problem And Comparison With North – West Corner Method Dr. A. P. Bhadane And Dr. S. D. Manjarekar IJERA 2020 2248 – 9622
A New Algebraic Method For IBFS Of A Transportation Problem And Comparison With NWC Method Dr. S. D. Manjarekar And Dr. A. P. Bhadane IJSR 2020 2319 – 7064 --
A New Algebraic Method For The Initial Basic Feasible Solution Of A Transportation Problem And Comparison With Least Cost Method Dr. S. D. Manjarekar And Dr. A. P. Bhadane IJRAR 2020 2348 – 1269 --
Method Of Upper And Lower Solutions For System Of Riemann-Liouville Fractional Differential Equations With Periodic Boundary Conditions Dr. V. R. Nikam International Journal Of Management And Applied Sciences 2019 2394 – 7926 --
Study Of Fluid Using Matrix Analysis Dr. A. P. Bhadane IJSRST 2019 2395 – 602X --
A Review On Impact Of Crude Oil And Natural Gases On Indian Economy Dr. A. P. Bhadane Research Journey: International E – Research Journal 2019 2348 – 7143 --
New Conformable Fractional Elzaki Transformation: Theory And Applications Dr. S. D. Manjarekar And Dr. A. P. Bhadane Malaya Journal Of Matematik 2019 2321 – 5666 --
On Two Dimensional New Integral Transformation And Its Applications Dr. S. D. Manjarekar And Dr. A. P. Bhadane Malaya Journal Of Matematik 2019 2321 – 5666 --
New Generalized Fractional Elzaki – Tarig And Other Fractional Integral Transforms With Its Applications To Fractional Differential Equations Dr. S. D. Manjarekar And Dr. A. P. Bhadane International Journal Of Mathematical Sciences 2019 0972 – 754X --
Solution Of Space Time Fractional Partial Differential Equations By Adomian Decomposition Method Dr. V. R. Nikam International Journal Of Computational Engineering Research 2018 2250 – 3005 (E) --
Applications of Tarig Transformation To New Fractional Derivatives With Non Singular Kernel Dr. S. D. Manjarekar And Dr. A. P. Bhadane Journal Of Fractional Calculus And Applications 2018 2090 – 5858 --
Applications of New Conformable Fractional Elzaki Derivative Dr. S. D. Manjarekar And Dr. A. P. Bhadane International Journal Of Research And Analytical Reviews 2018 2349 – 5138 --
Synthesis And Characterization Of Ti-2223 Superconducting Film By Electrocyclization Technique Dr. V. R. Nikam International Research Journal Of Science And Engineering 2017 2322 – 0015 (P) --
Some Properties And Applications Of Local Fractional Fourier Transform Dr. V. R. Nikam Aryabhatta Journal Of Mathematics And Informatics 2017 2394 – 9309 (E) / 0975 – 7139 (P) --
Generalized Elzaki – Tarig Transformation And Its Applications To New Fractional Derivative With Non Singular Kernel Dr. S. D. Manjarekar And Dr. A. P. Bhadane Progress In Fractional Differentiation And Applications 2017 2356 – 9336 --
Some Contribution On Method Of Moving Planes Dr. V. R. Nikam CTBC’s International Research Journal 2016 2350 – 0905 --
Solution Of Nonlinear Partial Differential Equations Using Modified Charpit’s Method Dr. A. P. Bhadane International Journal Of Engineering Science And Computing 2016 -- --
Study Of Fractional Transforms And Its Applications Dr. S. D. Manjarekar And Dr. A. P. Bhadane International Journal Of Universal Mathematics And Mathematical Sciences> 2016 2454 – 7271 --
Approximations To The Solution Of R – L Space Fractional Heat Equation In Terms Of Kummer’s Hyper Geometric Functions By Using Fourier Transform Method: A New Approach Dr. S. D. Manjarekar And Dr. A. P. Bhadane International Journal Of Advanced Research In Mathematics 2015 2297 – 6213 --
An Alternative Method To North – West Corner Method For Solving Transportation Problem Dr. A. P. Bhadane Bizz...Ness, The Research Journal Of The Ness Wadia College Of Commerce, Pune 2015 2277 – 4823 --
Introducing Ranking Error Functions In Ranked Set Sampling Dr. V. R. Nikam International Multidisciplinary Research Journal Golden Research Thoughts 2015 2231 – 5063 --
Study Of Nano-Crystalline Ferrite Material Mgniznfe2so4 Using Electrical And Thermal Methods Dr. V. R. Nikam International Journal Renewable Research Journal 2015 2321 – 1067 --
Local Fractional Fourier Transform In Fractional Differential Equation Dr. S. D. Manjarekar And Dr. A. P. Bhadane Mathematical Sciences: International Research Journal 2015 2278 – 8697 --
Lu Factorization Method To Solve Linear Programming Problem Dr. A. P. Bhadane International Journal Of Emerging Technology and Advanced Engineering 2014 2250 – 2459 --
Fractional Order Finite Difference Scheme For Space Fractional Diffusion Equation Dr. V. R. Nikam Journal Of Engineering and Automation Problems 2014 2050 – 3102 --
Volterra Type Integral Inequalities With Singular Kernel In Two Variables Dr. A. P. Bhadane DAV International Journal Of Science 2013 2277 – 5536 --
Finite Difference Scheme For Space Fractional Diffusion Equation With Mixed Boundary Conditions Dr. V. R. Nikam American Journal of Mathematics And Sciences 2013 2250 – 3102 --
Some New Nonlinear Retarded Integral Inequalities And Applications Dr. A. P. Bhadane Bulletin of The Marathwada Mathematical Society 2013 0976 – 6049 --
Integer Programming Problem With Progressive Series & Fibonacci Series Dr. A. P. Bhadane Applied Science Periodical 2013 0972 – 5504 --
Adomian Decomposition Method For Fractional Benjamin-Bona-Mahony-Burger’s Equations Dr. V. R. Nikam International Journal of Appl. Math. And Mech 2012 0973 – 0184 --
Solution Of Fractional Partial Differentialequations Using Iterative Method Dr. V. R. Nikam International Journal Of Fractional Calculus and Applied Analysis 2012 1311 - 0454 --
Monotone Technique For System Of Caputo Fractional Differential Equations With Periodic Boundary Conditions Dr. V. R. Nikam International Journal Of Dynamics Of Continuous, Discrete And Impulsive Systems Series A 2012 1201 – 3390 --
Mittag Leffler Functions, Its Computations And Applications To Differential Equations Of Fractional Order Dr. V. R. Nikam Proceeding Book Of International Conference On Mathematical Modelling And Applied Soft Computing 2012 978-81-81693-86-5 --
New Modified Approach To Find Initial Basic Feasible Solution To Transportation Problem Using Statistical Technique Douglas Higher Order Finite Difference Schemefor One Dimensional Pennes Bioheat Equation Dr. A. P. Bhadane Antarctica Journal Of Mathematics 2012 0972 – 8643 --
New Modified Approach To Find Initial Basic Feasible Solution To Transportation Problem Using Statistical Technique Douglas Higher Order Finite Difference Schemefor One Dimensional Pennes Bioheat Equation Dr. V. R. Nikam An International Journal Of Advanced Engineering And Applications 2011 0975 – 7783 --
Basic Developments Of Fractional Calculus And Its Applications Dr. A. P. Bhadane Bulletin Of The Marathwada Mathematical Society 2011 0976 – 6049 --
Volterra Type Integral Inequalities With Singular Kernel Dr. A. P. Bhadane GANITA 2009 0046 – 5402 --
Hermitian Type Operators Of Second Order Differential Equations Dr. A. P. Bhadane Journal Of Natural & Physical Sciences 2007 0097 – 3799 --
Integral Inequalities Of Bellman – Bihari – Biagioni Type Dr. A. P. Bhadane Applied Science Periodical 2002 0972 – 5504 --

Seminars / Conferences / Workshops / Webinar organized

Year Name of the workshop/ seminar Number of Participants Date From – To Link to the Activity report on the website
2015 – 16 National Conference on “Recent Trends in Fractional Calculus: Theory and Applications” 173 10/03/2016 To 11/03/2016 File C1
2016 – 17 District Level workshop on “SET / NET Exam Preparation ” 120 04/02/2017 To 11/02/2017 File C2
2018 – 19 State Level conference on “Research Methodology” 123 30/01/2019 To 31/01/2019 File C3
2020 – 21 International Webinar on “Recent Trends in Mathematics and its Applications” 1150 09/11/2020 To 12/11/2020 File C4
2020 – 21 Seminar on “Magical Mathematics” 60 15/08/2020 File C5
2021 – 22 Online lecture series on “SET/ NET” 120 21/08/2021 To 01/09/2021 File C6
2021 – 22 Workshop on “Research Methodology” 105 03/03/2022 File C7
2021 – 22 National Conference on “Industrial Mathematics and Opportunities in IT” 120 22/03/2022 To 23/03/2022 File C8

Workshops on IPR and Research Methodology

Sr. No. Title of the conference State/National/International Schedule View details
1 Conference on “Research Methodology” State Level 30/01/2019 To 31/01/2019 File C3
2 Workshop on “Research Methodology” State Level 03/03/2022 File C7

Book Published

Sl. No. Name of the teacher Title of the book/chapters published National / International Year of publication ISBN/ISSN number of the proceeding Affiliating Institute at the time of publication
1 Dr. V. R. Nikam Ring Theory National 2021 ISBN:978-81-941696-06-6 Chandralok Prakashan, Kanpur
2 Dr. V. R. Nikam Ordinary Differential Equations National 2020 ISBN:978-81-941696-5-9. Chandralok Prakashan, Kanpur
3 Dr. V. R. Nikam Numerical Analysis National 2016 ISBN:978-93-86016-24-9 Chandralok Prakashan, Kanpur
4 Dr. V. R. Nikam Mathematics and Statistics National 2014 ISBN:978-93-84283-01-8 Idol Publications / Techmach Publication
5 Dr. V. R. Nikam Business Mathematics and Statistics National 2013 ISBN:978-93-82358-45-9 Chandralok Prakashan, Kanpur
6 Dr. V. R. Nikam GROUP THEORY National 2013 ISBN:978-93-82358-44-2 Chandralok Prakashan, Kanpur
7 Dr. V. R. Nikam LINEAR ALGEBRA National 2013 ISBN:978-93-82358-43-5 Chandralok Prakashan, Kanpur
8 Dr. V. R. Nikam Mathematics & Statistics National 2011 ISBN:978-93-81477-56-4 Seth Publishers
9 Dr. V. R. Nikam Mathematics & Statistics National 2011 ISBN:978-93-81477-25-0 Seth Publishers
10 Dr. V. R. Nikam Elements of Statistics National 2008 ISBN:978-81-8483-101-6 Diamond Publishers
11 Dr. V. R. Nikam Business Statistics National 2008 ISBN:978-81-8483-109-2 Diamond Publishers
12 Dr. V. R. Nikam Business Mathematics National 2008 ISBN:978-81-8483-087-3 Diamond Publishers
13 Dr. V. R. Nikam Mathematics & Statistics National 2008 ISBN:978-81-8483-087-3 Seth Publishers
14 Dr. V. R. Nikam Mathematics & Statistics National 2005 ISBN:978-81-8483-087-3 Seth Publishers
15 Dr. V. R. Nikam Computer Applications & Programming National 2004 ISBN:978-81-8483-087-3 Seth Publishers
16 Dr. V. R. Nikam Mathematics & Statistics National 2004 ISBN:978-81-8483-087-3 Seth Publishers
17 Dr. S. D. Manjarekar Co – Author Algebra : Mathematics – paper 1 National 2019 9789389108491 NIRALI Publication
18 Dr. S. D. Manjarekar Co – Author Calculus 1 : Mathematics – Paper 2 National 2019 9789389108552 NIRALI Publication
19 Dr. S. D. Manjarekar Co – Author Analytical Geometry – Mathematics : Paper I National 2019 9789389533410 NIRALI Publication
20 Dr. S. D. Manjarekar Co – Author Calculus 2 – Mathematics : Paper Ii National 2019 9789389533705 NIRALI Publication
21 Dr. S. D. Manjarekar Co – Author LINEAR ALGEBRA National 2019 9789389686074 NIRALI Publication
22 Dr. S. D. Manjarekar Co – Author GRAPH THEORY National 2019 9789389533682 NIRALI Publication
23 Dr. S. D. Manjarekar Co – Author MATRIX ALGEBRA National 2019 9789389108590 NIRALI Publication
24 Dr. S. D. Manjarekar Co – Author DISCRETE MATHEMATICS National 2019 9789389108507 NIRALI Publication

Awards /Recognitions

Year Name of the award/ Medal Team / Individual University/State/National/ International Sports/ Cultural Name of the student
2017 Bharat Vidya Ratan Award Individual International Business Council Academic Dr. A. P. Bhadane
2017 Bharat Shiksha Ratan Award Individual Global Society for Health and Educational Growth Academic Dr. S. D. Manjarekar
2018 Best Citizen of IndiaAward Individual The International Publishing House Academic Dr. V. R. Nikam