profile

Dr. R.K. Vats

Associate Professor

I have published nearly 50 research papers in reputed National and International Journals.

Name : Dr. R.K. Vats
Designation : Associate Professor
Department : Mathematics & Scientific Computing
Qualification : Ph.D.
Phone : 254108
Email ID : rkvats@nith.ac.in
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Vidwan Link : View
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General Information



Name : Dr. R.K. Vats
Designation : Associate Professor
Department : Mathematics & Scientific Computing
Qualification : Ph.D.
Date of Birth : 10/03/1974
Date of joining : 29/06/2009

Contact Details

Phone : 254108
Email ID : rkvats@nith.ac.in

Specialization

Position Held



Position Department Name Institute Name Time Period

Educational Qualification



Name of the Degree Year of Passing Institute/University
B.Sc.(Computer Science) 1993 M.D.University Rohtak
M.Sc. (Mathematics) 1996 M.D.University Rohtak
M.Phil. (Mathematics) 2003 Kurukshetra University
Ph.D.(Mathematics) 2008 M.D.University Rohtak
Master of Computer Application 2012 M.D.University Rohtak

Honors & Recognitions Achieved



Sr.No. Title Activity Given By Year

Research Experience



Research Interests :
Brief Research Statement :

Journal Publications



Year Author(s) Title & Vol. No. Journal Name Indexing (SCI) Web of Science/Scopus
2012 R.K.Vats, V.Sihag Coupled coincidence point result in partially ordered generalized metric spaces & 43(4) ISSN: 0049-2930 Tamkang Journal of Mathematics Scopus
2013 R.K.Vats, B. Samet, V. Sihag, C.Vetro Some common fixed point theorem in fuzzy metric spaces & ISSN: 1201-3390 Dynamics of Continuous Discrete and Impulsive Systems, A Mathematical Analysis Scopus
2013 R.K.Vats, Vizender Sihag and Yeol Je Cho Coupled fixed point theorems without continuity and mixed monotone property & ISSN: 1025-5834 Journal of Inequalities and Applications (Springer Publishers) SCI
2013 R.K.Vats, Manju Grewal, Manish Jain, Sanjay Kumar Coupled fixed point theorem for weakly compatible mappings in menger spaces, ISSN: 1005-1031 Applied Mathematics Scopus
2014 R.K.Vats, V.Sihag and C.Vetro A fixed point theorem in G-metric space via α- series & 37 ISSN: 1607-3606 Quaestiones Mathematicae Scopus
2014 R.K.Vats, Kenan Tas, Vizender Sihag and Amit Kumar Triple fixed point theorems via α-series in partially ordered metric spaces & 2014 ISSN: 1025-5834 Journal of Inequalities and Applications (Springer Publishers) SCI
2015 R.K.Vats, Amit Kumar Fixed Point Theorem using Control Function in Intuitionistic Fuzzy Metric Space & 18(5) ISSN: 0972-0502 Journal of Interdisciplinary Mathematics(Taylo r & Francis) Scopus
2017 R.K.Vats, V.Sihag and C.Vetro Common fixed point theorems of integral type for owc mappings under relaxed condition & 15(1) ISSN: 1686-0209 Thai Journal of Mathematics Scopus
2018 R.K.Vats, Sachin Kumar, Hemant Kumar Nashine Existence and uniqueness results for three point nonlinear fractional (arbitrary order) boundary value problem & 70(4) ISSN: 0025-5165 Matematicki Vesnik Scopus
2019 R.K.Vats, Hemant Kumar Nashine, Zoran Fixed point theorems under -distance functions and applications to nonlinear integral and fractional differential equations & 43(3) Kragujevac Journal of Mathematics Scopus
2019 Ankit K. Nain, R.K.Vats, Sachin K.Verma Existence and uniqueness results for positive solutions of Hadamard type fractional BVP & 22(5) Journal of Interdisciplinary Mathematics(Taylo r & Francis) Scopus
2020 Ankit Kumar, Ramesh K. Vats, Avadhesh Kumar Approximate Controllability of Second-order Non-autonomous System with Finite Delay & Journal of Dynamical and Control Systems SCI
2020 Avadhesh Kumar, R.K. Vats, Ankit Kumar and D.N. Chalishajar Numerical Approach to the Controllability of Fractional Order Impulsive Differential Equations & 53 Demonstratio Mathematica Scopus
2020 A.K. Nain, R.K. Vats and A. Kumar Coupled fractional differential equations involving Caputo-Hadamard derivative with nonlocal boundary conditions &44(5) Mathematical Methods in the Applied Sciences SCI
2021 A.K. Nain, R.K. Vats and S.K. Verma Existence of solutions for non-linear Hadamard type fractional differential equation with mixed fractional boundary conditions & 28 Dynamics of Continuous, Discrete and Impulsive Systems Scopus
2021 A.K. Nain, R.K. Vats and A. Kumar Caputo-Hadamard fractional differential equation with impulsive boundary conditions & 9(1) Journal of Mathematical Modeling Scopus
2022 Ankit Kumar, Kamal Jeet and R.K. Vats Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space & 11(2) Evolution Equations and Control Theory SCI
2022 Sachin Kumar Verma, Ramesh Kumar Vats, Avadhesh Kumar, Velusamy Vijayakumar Anurag Shukla A discussion on the existence and uniqueness analysis for the coupled two-term fractional differential equations & 46 Turkish Journal of Mathematics SCI
2022 Kanika Dhawan, Ramesh Kumar Vats, Ravi P. Agarwal Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative & 30(1) Analele Stiintifice ale Universitatii Ovidius din Constanta, Math. Series SCI
2022 S.K. Verma, R.K. Vats and A.K. Nain Existence and uniqueness results for a fractional differential equations with nonlocal boundary conditions Boletim da Sociedade Paranaense de Matematica, (3s.) Scopus

Conference Publications



Year Author(s) Title Conference name with place Indexing (SCI/Web of science/Scopus)
2013 Ramesh Kumar Vats Coupled fixed point of set valued mapping in partially ordered G-metric space International Conference in Mathematical Science Scopus, Web of Science

Research Projects



Role Project Type Title Funding Agency From To Amount Status Co-Investigator Sanction Order Sanction Date
Principal Investigator R&D A Study of Existence of Fixed Point for mappings in Various Spaces CSIR 01/06/2011 31/05/2014 1044333 Completed N.A. 25(0197)/11/EMR-II 02/02/2011
Principal Investigator R&D Solution of Various forms of Differential and Integral Equations through concept of Fixed Point Theorems CSIR 01/08/2017 31/03/2021 1872999 Completed N.A 25(0268)/17/EMR-II 05/04/2017

Research Supervision



Programme Name Scholar Name Research Topic Status Year Co-Suprivisor(s)
Ph.D Dr. Vizender Sihag Fixed Point Theorems for Mapping in Metric, G-Metric and Fuzzy Metric Space Completed 2013
Ph.D Dr. Amit Kumar Some Fixed Point Theorem on Fuzzy Metric and Generalized Metric Spaces Completed 2015
Ph.D Dr. Manju Grewal Existence of Fixed Point for Mappings in Metric , Menger and Fuzzy Metric Spaces Completed 2017
Ph.D Dr. Sachin Kumar Applications of Fixed Point Theory in the Existence of Solutions of Fractional Boundary Value Problems Completed 2021
Ph.D Mr. Ankit Kumar Nain Existance of Solutions of Fractional Boundary Value Problems Completed 2022
Ph.D Mr. Ankit Kumar Controllability of Integer and Non-integer Differential System Completed 2022
Ph.D Ms. Kanika Existence & Stability of fractional differential equation On Going 2018
Ph.D Mr. Parveen Kumar Solutions for fractional boundary value problems On Going 2019
Ph.D Ms. Vandana Yadav Analysis of Fractional Differential Equations On Going 2021
Ph.D Mr. Om Parkash Sharma Study on controllability of differential Systems On Going 2021
Ph.D Mr. Sanjeev Differential Equation and Fractional Calculus On Going 2022
Ph.D Ms. Anjali Differential & Integral Equations with fractional calculs On Going 2022

Patents



Title Reg./Ref.No. Date of Award/Filling Awarding Agencies Status

Teaching Experience



Position Held Department and Organization From To Total Experience
Lecturer BRCM College of Engg & Tech., Bahal, Bhiwani, (Haryana) 01/02/2003 29/01/2006 3 years
Lecturer CDLM Govt. Engg. College, Panniwala Mota, Sirsa(Haryana) 30/01/2006 26/06/2009 3 years 5 months
Assistant Professor (Pre-revised) NIT Hamirpur 29/06/2009 28/06/2012 3 years
Associate Professor NIT Hamirpur 29/06/2012 02/11/2022 years 10 months 4

Administrative Experience



Position Held Department and Organization From To
Warden (Boys Hostel) BRCMCET, Bahal(Haryana) 01/02/2003 29/01/2006
Purchase Officer CDLM Govt Engg College, Sirsa(Haryana) 25/06/2007 17/06/2009
Convener DPGC NIT Hamirpur 07/08/2009 12/09/2012
OIC Purchase (Dept) NIT Hamirpur 07/08/2009 12/09/2018
OIC Library (Dept) NIT Hamirpur 07/08/2009 12/09/2012
Warden SBH NIT Hamirpur 15/02/2010 03/08/2013
Coordinator Upkeep Monitoring NIT Hamirpur 20/11/2012 03/08/2015
Convener DUGC NIT Hamirpur 12/09/2012 16/11/2018
OIC Purchase (Dept) NIT Hamirpur 21/11/2013 16/11/2016
Superintendent (Exam.) NIT Hamirpur 08/12/2014 14/12/2014
Superintendent (Exam.) NIT Hamirpur 11/05/2015 16/05/2015
Coordinator Registration (Admission) NIT Hamirpur 15/06/2015 30/04/2018
OIC Infrastructure (Dept) NIT Hamirpur 20/08/2015 16/11/2016
Head of Department NIT Hamirpur 05/10/2016 26/04/2019
Associate Dean (RP&C) NIT Hamirpur 01/05/2019 29/04/2020
Faculty Incharge IPR NIT Hamirpur 24/06/2021 23/06/2023
Faculty Incharge (Green & Clean Campus) NIT Hamirpur 22/08/2022 21/08/2023

Book/Chapters Written



Type Title Publisher Author(s) ISBN/ISSN No. Year

Expert Talks



Title Place Year Description of Event

Consultancy



Title of Consultancy Client Organization Faculty Involved Amount(INR) Status

International and National Exposure



Sr.No. Title Description

Conferences/Courses Organized



Category Type Title Venue From To Designation
conference National National conference on Advance in Mathematics and its Application (AMA-2013) NIT Hamirpur 25/06/2013 27/06/2013 Secretary
workshop National STC on Applications of LaTeX NIT Hamirpur 22/02/2016 27/02/2016 Coordinator
workshop National STC on Applications of LaTeX NIT Hamirpur 18/09/2017 24/09/2017 Coordinator
workshop National Short-Term Training Programme On Statistical Techniques Using SPSS for Engineers and Researchers NIT Hamirpur 09/10/2017 15/10/2017 Coordinator
workshop National Workshop on Application of Statistical Techniques using various Softwares NIT Hamirpur 20/11/2017 26/11/2017 Convener
workshop National STC on Applications of LaTeX NIT Hamirpur 12/10/2018 17/10/2018 Convener
conference National Workshop on Applications of MATLAB in Engineering & Science NIT Hamirpur 06/12/2018 11/12/2018 Convener
conference National Short-Term Course on Statistical Techniques Using R software NIT Hamirpur 09/12/2019 14/12/2019 Convener
conference National Recent Trends in Artificial Neural Networks and optimization NIT Hamirpur 18/12/2020 22/12/2020 Coordinator

Profile Summary

Last Update: 16/03/2023 08:52pm
Logo
Name : Dr. R.K. Vats
Designation : Associate Professor
Department : Mathematics & Scientific Computing
Qualification : Ph.D.
Phone : 254108
Email ID : rkvats@nith.ac.in
Profile URL : https://portfolios.nith.ac.in/index.php?/nith/dr-ramesh-kumar-vats-
Date of Birth : 10/03/1974
Date of Joining : 29/06/2009

Specialization

Fixed Point Theory (Functional Analysis), Fractional Calculus

Education Qualification


Name of the Degree Year of Passing Institute/University
B.Sc.(Computer Science) 1993 M.D.University Rohtak
M.Sc. (Mathematics) 1996 M.D.University Rohtak
M.Phil. (Mathematics) 2003 Kurukshetra University
Ph.D.(Mathematics) 2008 M.D.University Rohtak
Master of Computer Application 2012 M.D.University Rohtak

Teaching Experience


Programme Name Department And Organization From To Total Experience
Lecturer BRCM College of Engg & Tech., Bahal, Bhiwani, (Haryana) 01/02/2003 29/01/2006 3 years
Lecturer CDLM Govt. Engg. College, Panniwala Mota, Sirsa(Haryana) 30/01/2006 26/06/2009 3 years 5 months
Assistant Professor (Pre-revised) NIT Hamirpur 29/06/2009 28/06/2012 3 years
Associate Professor NIT Hamirpur 29/06/2012 02/11/2022 years 10 months 4

Administrative Experience


Position Held Department And Organization From To
Warden (Boys Hostel) BRCMCET, Bahal(Haryana) 01/02/2003 29/01/2006
Purchase Officer CDLM Govt Engg College, Sirsa(Haryana) 25/06/2007 17/06/2009
Convener DPGC NIT Hamirpur 07/08/2009 12/09/2012
OIC Purchase (Dept) NIT Hamirpur 07/08/2009 12/09/2018
OIC Library (Dept) NIT Hamirpur 07/08/2009 12/09/2012
Warden SBH NIT Hamirpur 15/02/2010 03/08/2013
Coordinator Upkeep Monitoring NIT Hamirpur 20/11/2012 03/08/2015
Convener DUGC NIT Hamirpur 12/09/2012 16/11/2018
OIC Purchase (Dept) NIT Hamirpur 21/11/2013 16/11/2016
Superintendent (Exam.) NIT Hamirpur 08/12/2014 14/12/2014
Superintendent (Exam.) NIT Hamirpur 11/05/2015 16/05/2015
Coordinator Registration (Admission) NIT Hamirpur 15/06/2015 30/04/2018
OIC Infrastructure (Dept) NIT Hamirpur 20/08/2015 16/11/2016
Head of Department NIT Hamirpur 05/10/2016 26/04/2019
Associate Dean (RP&C) NIT Hamirpur 01/05/2019 29/04/2020
Faculty Incharge IPR NIT Hamirpur 24/06/2021 23/06/2023
Faculty Incharge (Green & Clean Campus) NIT Hamirpur 22/08/2022 21/08/2023

Research Experience

Research Interests :
Brief Research Statement :

Research Projects


Role Project Type Title Funding Agency From To Amount Status Co-Investigator Sanction OrderSanction Date
Principal Investigator R&D A Study of Existence of Fixed Point for mappings in Various Spaces CSIR 01/06/2011 31/05/2014 1044333 Completed N.A. 25(0197)/11/EMR-II 02/02/2011
Principal Investigator R&D Solution of Various forms of Differential and Integral Equations through concept of Fixed Point Theorems CSIR 01/08/2017 31/03/2021 1872999 Completed N.A 25(0268)/17/EMR-II 05/04/2017

Journal Publications


Year Author(s) Journal Name Title & Vol. No. Indexing (SCI/Web of science/Scopus)
2012 R.K.Vats, V.Sihag Tamkang Journal of Mathematics Coupled coincidence point result in partially ordered generalized metric spaces & 43(4) ISSN: 0049-2930 Scopus
2013 R.K.Vats, B. Samet, V. Sihag, C.Vetro Dynamics of Continuous Discrete and Impulsive Systems, A Mathematical Analysis Some common fixed point theorem in fuzzy metric spaces & ISSN: 1201-3390 Scopus
2013 R.K.Vats, Vizender Sihag and Yeol Je Cho Journal of Inequalities and Applications (Springer Publishers) Coupled fixed point theorems without continuity and mixed monotone property & ISSN: 1025-5834 SCI
2013 R.K.Vats, Manju Grewal, Manish Jain, Sanjay Kumar Applied Mathematics Coupled fixed point theorem for weakly compatible mappings in menger spaces, ISSN: 1005-1031 Scopus
2014 R.K.Vats, V.Sihag and C.Vetro Quaestiones Mathematicae A fixed point theorem in G-metric space via α- series & 37 ISSN: 1607-3606 Scopus
2014 R.K.Vats, Kenan Tas, Vizender Sihag and Amit Kumar Journal of Inequalities and Applications (Springer Publishers) Triple fixed point theorems via α-series in partially ordered metric spaces & 2014 ISSN: 1025-5834 SCI
2015 R.K.Vats, Amit Kumar Journal of Interdisciplinary Mathematics(Taylo r & Francis) Fixed Point Theorem using Control Function in Intuitionistic Fuzzy Metric Space & 18(5) ISSN: 0972-0502 Scopus
2017 R.K.Vats, V.Sihag and C.Vetro Thai Journal of Mathematics Common fixed point theorems of integral type for owc mappings under relaxed condition & 15(1) ISSN: 1686-0209 Scopus
2018 R.K.Vats, Sachin Kumar, Hemant Kumar Nashine Matematicki Vesnik Existence and uniqueness results for three point nonlinear fractional (arbitrary order) boundary value problem & 70(4) ISSN: 0025-5165 Scopus
2019 R.K.Vats, Hemant Kumar Nashine, Zoran Kragujevac Journal of Mathematics Fixed point theorems under -distance functions and applications to nonlinear integral and fractional differential equations & 43(3) Scopus
2019 Ankit K. Nain, R.K.Vats, Sachin K.Verma Journal of Interdisciplinary Mathematics(Taylo r & Francis) Existence and uniqueness results for positive solutions of Hadamard type fractional BVP & 22(5) Scopus
2020 Ankit Kumar, Ramesh K. Vats, Avadhesh Kumar Journal of Dynamical and Control Systems Approximate Controllability of Second-order Non-autonomous System with Finite Delay & SCI
2020 Avadhesh Kumar, R.K. Vats, Ankit Kumar and D.N. Chalishajar Demonstratio Mathematica Numerical Approach to the Controllability of Fractional Order Impulsive Differential Equations & 53 Scopus
2020 A.K. Nain, R.K. Vats and A. Kumar Mathematical Methods in the Applied Sciences Coupled fractional differential equations involving Caputo-Hadamard derivative with nonlocal boundary conditions &44(5) SCI
2021 A.K. Nain, R.K. Vats and S.K. Verma Dynamics of Continuous, Discrete and Impulsive Systems Existence of solutions for non-linear Hadamard type fractional differential equation with mixed fractional boundary conditions & 28 Scopus
2021 A.K. Nain, R.K. Vats and A. Kumar Journal of Mathematical Modeling Caputo-Hadamard fractional differential equation with impulsive boundary conditions & 9(1) Scopus
2022 Ankit Kumar, Kamal Jeet and R.K. Vats Evolution Equations and Control Theory Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space & 11(2) SCI
2022 Sachin Kumar Verma, Ramesh Kumar Vats, Avadhesh Kumar, Velusamy Vijayakumar Anurag Shukla Turkish Journal of Mathematics A discussion on the existence and uniqueness analysis for the coupled two-term fractional differential equations & 46 SCI
2022 Kanika Dhawan, Ramesh Kumar Vats, Ravi P. Agarwal Analele Stiintifice ale Universitatii Ovidius din Constanta, Math. Series Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative & 30(1) SCI
2022 S.K. Verma, R.K. Vats and A.K. Nain Boletim da Sociedade Paranaense de Matematica, (3s.) Existence and uniqueness results for a fractional differential equations with nonlocal boundary conditions Scopus

Conference Publications


Year Author(s) Conference Title Indexing
2013 Ramesh Kumar Vats International Conference in Mathematical Science Coupled fixed point of set valued mapping in partially ordered G-metric space Scopus, Web of Science

Book/Chapters Written


Type (Book/Chapter) Author(s) Title Publisher ISBN/ISSN No. Year

Research Supersion


Programme Name Scholar Name Research Topic Status Year Co-Superivisor(s)
Ph.D Dr. Vizender Sihag Fixed Point Theorems for Mapping in Metric, G-Metric and Fuzzy Metric Space Completed 2013
Ph.D Dr. Amit Kumar Some Fixed Point Theorem on Fuzzy Metric and Generalized Metric Spaces Completed 2015
Ph.D Dr. Manju Grewal Existence of Fixed Point for Mappings in Metric , Menger and Fuzzy Metric Spaces Completed 2017
Ph.D Dr. Sachin Kumar Applications of Fixed Point Theory in the Existence of Solutions of Fractional Boundary Value Problems Completed 2021
Ph.D Mr. Ankit Kumar Nain Existance of Solutions of Fractional Boundary Value Problems Completed 2022
Ph.D Mr. Ankit Kumar Controllability of Integer and Non-integer Differential System Completed 2022
Ph.D Ms. Kanika Existence & Stability of fractional differential equation On Going 2018
Ph.D Mr. Parveen Kumar Solutions for fractional boundary value problems On Going 2019
Ph.D Ms. Vandana Yadav Analysis of Fractional Differential Equations On Going 2021
Ph.D Mr. Om Parkash Sharma Study on controllability of differential Systems On Going 2021
Ph.D Mr. Sanjeev Differential Equation and Fractional Calculus On Going 2022
Ph.D Ms. Anjali Differential & Integral Equations with fractional calculs On Going 2022

Patents


Name Reg./Ref.No. Date of Award/Filling Awarding Agencies Status

Conferences/Workshop/Courses Organized


Category Type Title Venue From To Designation
conference National National conference on Advance in Mathematics and its Application (AMA-2013) NIT Hamirpur 25/06/2013 27/06/2013 Secretary
workshop National STC on Applications of LaTeX NIT Hamirpur 22/02/2016 27/02/2016 Coordinator
workshop National STC on Applications of LaTeX NIT Hamirpur 18/09/2017 24/09/2017 Coordinator
workshop National Short-Term Training Programme On Statistical Techniques Using SPSS for Engineers and Researchers NIT Hamirpur 09/10/2017 15/10/2017 Coordinator
workshop National Workshop on Application of Statistical Techniques using various Softwares NIT Hamirpur 20/11/2017 26/11/2017 Convener
workshop National STC on Applications of LaTeX NIT Hamirpur 12/10/2018 17/10/2018 Convener
conference National Workshop on Applications of MATLAB in Engineering & Science NIT Hamirpur 06/12/2018 11/12/2018 Convener
conference National Short-Term Course on Statistical Techniques Using R software NIT Hamirpur 09/12/2019 14/12/2019 Convener
conference National Recent Trends in Artificial Neural Networks and optimization NIT Hamirpur 18/12/2020 22/12/2020 Coordinator

Expert Talks


Title Place Year Description of Event

Consultancy


Title of Consultancy Client Organization Faculty Involved Amount(INR) Status

International and National Exposure


Sr.No. Title Description

Honors & Recognitions Achieved


Sr.No. Title Activity Given By Year